{"id":122162,"date":"2025-03-25T15:36:04","date_gmt":"2025-03-25T08:36:04","guid":{"rendered":"https:\/\/phongvu.vn\/cong-nghe\/?p=122162"},"modified":"2025-03-27T16:50:43","modified_gmt":"2025-03-27T09:50:43","slug":"7-hang-dang-thuc-dang-nho","status":"publish","type":"post","link":"https:\/\/phongvu.vn\/cong-nghe\/7-hang-dang-thuc-dang-nho\/","title":{"rendered":"7 h\u1eb1ng \u0111\u1eb3ng th\u1ee9c \u0111\u00e1ng nh\u1edb v\u00e0 c\u00e1ch v\u1eadn d\u1ee5ng trong b\u00e0i t\u1eadp to\u00e1n"},"content":{"rendered":"\n<p>7 h\u1eb1ng \u0111\u1eb3ng th\u1ee9c \u0111\u00e1ng nh\u1edb l\u00e0 n\u1ec1n t\u1ea3ng quan tr\u1ecdng trong to\u00e1n h\u1ecdc, gi\u00fap r\u00fat g\u1ecdn bi\u1ec3u th\u1ee9c v\u00e0 gi\u1ea3i b\u00e0i to\u00e1n nhanh ch\u00f3ng, ch\u00ednh x\u00e1c. Vi\u1ec7c n\u1eafm v\u1eefng v\u00e0 v\u1eadn d\u1ee5ng linh ho\u1ea1t c\u00e1c h\u1eb1ng \u0111\u1eb3ng th\u1ee9c n\u00e0y kh\u00f4ng ch\u1ec9 gi\u00fap h\u1ecdc sinh gi\u1ea3i quy\u1ebft b\u00e0i t\u1eadp d\u1ec5 d\u00e0ng m\u00e0 c\u00f2n n\u00e2ng cao t\u01b0 duy to\u00e1n h\u1ecdc. Trong b\u00e0i vi\u1ebft n\u00e0y, <a href=\"https:\/\/phongvu.vn\/cong-nghe\/\" target=\"_blank\" rel=\"noreferrer noopener\">Phong V\u0169 Tech News<\/a> s\u1ebd c\u00f9ng b\u1ea1n t\u00ecm hi\u1ec3u chi ti\u1ebft v\u1ec1 7 h\u1eb1ng \u0111\u1eb3ng th\u1ee9c \u0111\u00e1ng nh\u1edb v\u00e0 c\u00e1ch \u00e1p d\u1ee5ng ch\u00fang v\u00e0o c\u00e1c d\u1ea1ng b\u00e0i t\u1eadp th\u01b0\u1eddng g\u1eb7p.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\" \/>\n\n\n\n<ul>\n<li><a href=\"https:\/\/phongvu.vn\/cong-nghe\/dien-tich-hinh-binh-hanh\/\" target=\"_blank\" rel=\"noreferrer noopener\">Di\u1ec7n t\u00edch h\u00ecnh b\u00ecnh h\u00e0nh: \u0110\u1ecbnh ngh\u0129a, c\u00f4ng th\u1ee9c v\u00e0 b\u00e0i t\u1eadp c\u00f3 l\u1eddi gi\u1ea3i<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/phongvu.vn\/cong-nghe\/cong-thuc-tinh-dien-tich-hinh-chu-nhat\/\" target=\"_blank\" rel=\"noreferrer noopener\">Di\u1ec7n t\u00edch h\u00ecnh ch\u1eef nh\u1eadt: \u0110\u1ecbnh ngh\u0129a, c\u00f4ng th\u1ee9c v\u00e0 b\u00e0i t\u1eadp c\u00f3 l\u1eddi gi\u1ea3i<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/phongvu.vn\/cong-nghe\/dien-tich-hinh-thang\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u201cB\u1ecf t\u00fai\u201d 4 c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang (vu\u00f4ng, c\u00e2n, th\u01b0\u1eddng) k\u00e8m b\u00e0i t\u1eadp chu\u1ea9n nh\u1ea5t 2025<\/a><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\" \/>\n\n\n\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_55 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title \" >M\u1ee5c l\u1ee5c<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\" role=\"button\"><label for=\"item-6a2014b87e2ba\" ><span class=\"\"><span style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/label><input aria-label=\"Toggle\" aria-label=\"item-6a2014b87e2ba\"  type=\"checkbox\" id=\"item-6a2014b87e2ba\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/phongvu.vn\/cong-nghe\/7-hang-dang-thuc-dang-nho\/#Ly_thuyet_7_hang_dang_thuc_dang_nho\" title=\"L\u00fd thuy\u1ebft 7 h\u1eb1ng \u0111\u1eb3ng th\u1ee9c \u0111\u00e1ng nh\u1edb\">L\u00fd thuy\u1ebft 7 h\u1eb1ng \u0111\u1eb3ng th\u1ee9c \u0111\u00e1ng nh\u1edb<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/phongvu.vn\/cong-nghe\/7-hang-dang-thuc-dang-nho\/#Binh_phuong_cua_mot_tong\" title=\"B\u00ecnh ph\u01b0\u01a1ng c\u1ee7a m\u1ed9t t\u1ed5ng\">B\u00ecnh ph\u01b0\u01a1ng c\u1ee7a m\u1ed9t t\u1ed5ng<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/phongvu.vn\/cong-nghe\/7-hang-dang-thuc-dang-nho\/#Binh_phuong_cua_mot_hieu\" title=\"B\u00ecnh ph\u01b0\u01a1ng c\u1ee7a m\u1ed9t hi\u1ec7u\">B\u00ecnh ph\u01b0\u01a1ng c\u1ee7a m\u1ed9t hi\u1ec7u<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/phongvu.vn\/cong-nghe\/7-hang-dang-thuc-dang-nho\/#Hieu_hai_binh_phuong\" title=\"Hi\u1ec7u hai b\u00ecnh ph\u01b0\u01a1ng\">Hi\u1ec7u hai b\u00ecnh ph\u01b0\u01a1ng<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/phongvu.vn\/cong-nghe\/7-hang-dang-thuc-dang-nho\/#Lap_phuong_cua_mot_tong\" title=\"L\u1eadp ph\u01b0\u01a1ng c\u1ee7a m\u1ed9t t\u1ed5ng\">L\u1eadp ph\u01b0\u01a1ng c\u1ee7a m\u1ed9t t\u1ed5ng<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/phongvu.vn\/cong-nghe\/7-hang-dang-thuc-dang-nho\/#Lap_phuong_cua_mot_hieu\" title=\"L\u1eadp ph\u01b0\u01a1ng c\u1ee7a m\u1ed9t hi\u1ec7u\">L\u1eadp ph\u01b0\u01a1ng c\u1ee7a m\u1ed9t hi\u1ec7u<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/phongvu.vn\/cong-nghe\/7-hang-dang-thuc-dang-nho\/#Tong_hai_lap_phuong\" title=\"T\u1ed5ng hai l\u1eadp ph\u01b0\u01a1ng\">T\u1ed5ng hai l\u1eadp ph\u01b0\u01a1ng<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/phongvu.vn\/cong-nghe\/7-hang-dang-thuc-dang-nho\/#Hieu_hai_lap_phuong\" title=\"Hi\u1ec7u hai l\u1eadp ph\u01b0\u01a1ng\">Hi\u1ec7u hai l\u1eadp ph\u01b0\u01a1ng<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/phongvu.vn\/cong-nghe\/7-hang-dang-thuc-dang-nho\/#Cac_hang_dang_thuc_mo_rong\" title=\"C\u00e1c h\u1eb1ng \u0111\u1eb3ng th\u1ee9c m\u1edf r\u1ed9ng\">C\u00e1c h\u1eb1ng \u0111\u1eb3ng th\u1ee9c m\u1edf r\u1ed9ng<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/phongvu.vn\/cong-nghe\/7-hang-dang-thuc-dang-nho\/#Hang_dang_thuc_mo_rong_bac_hai\" title=\"H\u1eb1ng \u0111\u1eb3ng th\u1ee9c m\u1edf r\u1ed9ng b\u1eadc hai\">H\u1eb1ng \u0111\u1eb3ng th\u1ee9c m\u1edf r\u1ed9ng b\u1eadc hai<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/phongvu.vn\/cong-nghe\/7-hang-dang-thuc-dang-nho\/#Hang_dang_thuc_mo_rong_bac_ba\" title=\"H\u1eb1ng \u0111\u1eb3ng th\u1ee9c m\u1edf r\u1ed9ng b\u1eadc ba\">H\u1eb1ng \u0111\u1eb3ng th\u1ee9c m\u1edf r\u1ed9ng b\u1eadc ba<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/phongvu.vn\/cong-nghe\/7-hang-dang-thuc-dang-nho\/#Hang_dang_thuc_dang_tong_quat\" title=\"H\u1eb1ng \u0111\u1eb3ng th\u1ee9c d\u1ea1ng t\u1ed5ng qu\u00e1t\">H\u1eb1ng \u0111\u1eb3ng th\u1ee9c d\u1ea1ng t\u1ed5ng qu\u00e1t<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/phongvu.vn\/cong-nghe\/7-hang-dang-thuc-dang-nho\/#Bai_tap_co_loi_giai_ve_7_hang_dang_thuc_dang_nho\" title=\"B\u00e0i t\u1eadp c\u00f3 l\u1eddi gi\u1ea3i v\u1ec1 7 h\u1eb1ng \u0111\u1eb3ng th\u1ee9c \u0111\u00e1ng nh\u1edb\">B\u00e0i t\u1eadp c\u00f3 l\u1eddi gi\u1ea3i v\u1ec1 7 h\u1eb1ng \u0111\u1eb3ng th\u1ee9c \u0111\u00e1ng nh\u1edb<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/phongvu.vn\/cong-nghe\/7-hang-dang-thuc-dang-nho\/#Loi_ket\" title=\"L\u1eddi k\u1ebft\">L\u1eddi k\u1ebft<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Ly_thuyet_7_hang_dang_thuc_dang_nho\"><\/span><strong>L\u00fd thuy\u1ebft 7 h\u1eb1ng \u0111\u1eb3ng th\u1ee9c \u0111\u00e1ng nh\u1edb<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>H\u1eb1ng \u0111\u1eb3ng th\u1ee9c l\u00e0 m\u1ed9t \u0111\u1eb3ng th\u1ee9c lu\u00f4n \u0111\u00fang v\u1edbi m\u1ecdi gi\u00e1 tr\u1ecb c\u1ee7a bi\u1ebfn s\u1ed1 trong bi\u1ec3u th\u1ee9c. N\u00f3i c\u00e1ch kh\u00e1c, \u0111\u00e2y l\u00e0 nh\u1eefng c\u00f4ng th\u1ee9c to\u00e1n h\u1ecdc kh\u00f4ng thay \u0111\u1ed5i gi\u00e1 tr\u1ecb, b\u1ea5t k\u1ec3 ta thay th\u1ebf bi\u1ebfn b\u1eb1ng s\u1ed1 n\u00e0o. H\u1eb1ng \u0111\u1eb3ng th\u1ee9c th\u01b0\u1eddng \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 r\u00fat g\u1ecdn bi\u1ec3u th\u1ee9c, bi\u1ebfn \u0111\u1ed5i ph\u01b0\u01a1ng tr\u00ecnh v\u00e0 gi\u1ea3i quy\u1ebft c\u00e1c b\u00e0i to\u00e1n li\u00ean quan \u0111\u1ebfn \u0111a th\u1ee9c trong \u0111\u1ea1i s\u1ed1. M\u1ed9t trong nh\u1eefng nh\u00f3m h\u1eb1ng \u0111\u1eb3ng th\u1ee9c quan tr\u1ecdng v\u00e0 ph\u1ed5 bi\u1ebfn nh\u1ea5t l\u00e0 7 h\u1eb1ng \u0111\u1eb3ng th\u1ee9c \u0111\u00e1ng nh\u1edb, gi\u00fap \u0111\u01a1n gi\u1ea3n h\u00f3a c\u00e1c ph\u00e9p nh\u00e2n, khai tri\u1ec3n ho\u1eb7c ph\u00e2n t\u00edch \u0111a th\u1ee9c.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-2-1024x640.jpg\" alt=\"L\u00fd thuy\u1ebft 7 h\u1eb1ng \u0111\u1eb3ng th\u1ee9c \u0111\u00e1ng nh\u1edb\" class=\"wp-image-122181\" width=\"1024\" height=\"640\" srcset=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-2-1024x640.jpg 1024w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-2-300x188.jpg 300w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-2-768x480.jpg 768w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-2-150x94.jpg 150w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-2-600x375.jpg 600w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-2-696x435.jpg 696w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-2-1392x870.jpg 1392w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-2-1068x668.jpg 1068w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-2-672x420.jpg 672w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-2-1344x840.jpg 1344w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-2.jpg 1440w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" title=\"\"><figcaption class=\"wp-element-caption\">L\u00fd thuy\u1ebft 7 h\u1eb1ng \u0111\u1eb3ng th\u1ee9c \u0111\u00e1ng nh\u1edb<\/figcaption><\/figure>\n\n\n\n<p>D\u01b0\u1edbi \u0111\u00e2y l\u00e0 chi ti\u1ebft t\u1eebng 7 h\u1eb1ng \u0111\u1eb3ng th\u1ee9c c\u00f9ng v\u1edbi c\u00e1ch nh\u1eadn di\u1ec7n v\u00e0 \u00e1p d\u1ee5ng ch\u00fang trong b\u00e0i to\u00e1n:<\/p>\n\n\n\n<h3><span class=\"ez-toc-section\" id=\"Binh_phuong_cua_mot_tong\"><\/span><strong>B\u00ecnh ph\u01b0\u01a1ng c\u1ee7a m\u1ed9t t\u1ed5ng<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p><strong>L\u00fd thuy\u1ebft<\/strong>: B\u00ecnh ph\u01b0\u01a1ng c\u1ee7a m\u1ed9t t\u1ed5ng hai s\u1ed1 b\u1eb1ng b\u00ecnh ph\u01b0\u01a1ng s\u1ed1 th\u1ee9 nh\u1ea5t c\u1ed9ng v\u1edbi hai l\u1ea7n t\u00edch c\u1ee7a s\u1ed1 th\u1ee9 nh\u1ea5t v\u00e0 s\u1ed1 th\u1ee9 hai, c\u1ed9ng v\u1edbi b\u00ecnh ph\u01b0\u01a1ng s\u1ed1 th\u1ee9 hai.<\/p>\n\n\n\n<p><strong>C\u00f4ng th\u1ee9c:<\/strong> (a + b)\u00b2 = a\u00b2 + 2ab + b\u00b2<\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-3-1024x640.jpg\" alt=\"B\u00ecnh ph\u01b0\u01a1ng c\u1ee7a m\u1ed9t t\u1ed5ng\" class=\"wp-image-122182\" width=\"1026\" height=\"641\" srcset=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-3-1024x640.jpg 1024w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-3-300x188.jpg 300w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-3-768x480.jpg 768w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-3-150x94.jpg 150w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-3-600x375.jpg 600w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-3-696x435.jpg 696w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-3-1392x870.jpg 1392w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-3-1068x668.jpg 1068w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-3-672x420.jpg 672w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-3-1344x840.jpg 1344w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-3.jpg 1440w\" sizes=\"(max-width: 1026px) 100vw, 1026px\" title=\"\"><figcaption class=\"wp-element-caption\">B\u00ecnh ph\u01b0\u01a1ng c\u1ee7a m\u1ed9t t\u1ed5ng<\/figcaption><\/figure>\n\n\n\n<p><strong>V\u00ed d\u1ee5:<\/strong><\/p>\n\n\n\n<p>(x + 3)\u00b2 = x\u00b2 + 2(x)(3) + 3\u00b2 = x\u00b2 + 6x + 9<\/p>\n\n\n\n<p>(2x + 5y)\u00b2 = (2x)\u00b2 + 2(2x)(5y) + (5y)\u00b2 = 4x\u00b2 + 20xy + 25y\u00b2<\/p>\n\n\n\n<h3><span class=\"ez-toc-section\" id=\"Binh_phuong_cua_mot_hieu\"><\/span><strong>B\u00ecnh ph\u01b0\u01a1ng c\u1ee7a m\u1ed9t hi\u1ec7u<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p><strong>L\u00fd thuy\u1ebft: <\/strong>B\u00ecnh ph\u01b0\u01a1ng c\u1ee7a m\u1ed9t hi\u1ec7u hai s\u1ed1 b\u1eb1ng b\u00ecnh ph\u01b0\u01a1ng s\u1ed1 th\u1ee9 nh\u1ea5t tr\u1eeb \u0111i hai l\u1ea7n t\u00edch c\u1ee7a s\u1ed1 th\u1ee9 nh\u1ea5t v\u00e0 s\u1ed1 th\u1ee9 hai, c\u1ed9ng v\u1edbi b\u00ecnh ph\u01b0\u01a1ng s\u1ed1 th\u1ee9 hai.<\/p>\n\n\n\n<p><strong>C\u00f4ng th\u1ee9c:<\/strong> (a &#8211; b)\u00b2 = a\u00b2 &#8211; 2ab + b\u00b2<\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-4-1024x640.jpg\" alt=\"B\u00ecnh ph\u01b0\u01a1ng c\u1ee7a m\u1ed9t hi\u1ec7u\" class=\"wp-image-122183\" width=\"1024\" height=\"640\" srcset=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-4-1024x640.jpg 1024w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-4-300x188.jpg 300w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-4-768x480.jpg 768w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-4-150x94.jpg 150w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-4-600x375.jpg 600w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-4-696x435.jpg 696w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-4-1392x870.jpg 1392w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-4-1068x668.jpg 1068w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-4-672x420.jpg 672w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-4-1344x840.jpg 1344w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-4.jpg 1440w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" title=\"\"><figcaption class=\"wp-element-caption\">B\u00ecnh ph\u01b0\u01a1ng c\u1ee7a m\u1ed9t hi\u1ec7u<\/figcaption><\/figure>\n\n\n\n<p><strong>V\u00ed d\u1ee5:<\/strong><\/p>\n\n\n\n<p>(x &#8211; 4)\u00b2 = x\u00b2 &#8211; 2(x)(4) + 4\u00b2 = x\u00b2 &#8211; 8x + 16<\/p>\n\n\n\n<p>(3x &#8211; 2y)\u00b2 = (3x)\u00b2 &#8211; 2(3x)(2y) + (2y)\u00b2 = 9x\u00b2 &#8211; 12xy + 4y\u00b2<\/p>\n\n\n\n<h3><span class=\"ez-toc-section\" id=\"Hieu_hai_binh_phuong\"><\/span><strong>Hi\u1ec7u hai b\u00ecnh ph\u01b0\u01a1ng<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p><strong>L\u00fd thuy\u1ebft:<\/strong> Hi\u1ec7u hai b\u00ecnh ph\u01b0\u01a1ng c\u1ee7a hai s\u1ed1 b\u1eb1ng t\u00edch c\u1ee7a t\u1ed5ng hai s\u1ed1 \u0111\u00f3 v\u1edbi hi\u1ec7u c\u1ee7a hai s\u1ed1 \u0111\u00f3.<\/p>\n\n\n\n<p><strong>C\u00f4ng th\u1ee9c:<\/strong> a\u00b2 &#8211; b\u00b2 = (a + b)(a &#8211; b)<\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-5-1024x640.jpg\" alt=\"Hi\u1ec7u hai b\u00ecnh ph\u01b0\u01a1ng\" class=\"wp-image-122184\" width=\"1024\" height=\"640\" srcset=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-5-1024x640.jpg 1024w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-5-300x188.jpg 300w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-5-768x480.jpg 768w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-5-150x94.jpg 150w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-5-600x375.jpg 600w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-5-696x435.jpg 696w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-5-1392x870.jpg 1392w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-5-1068x668.jpg 1068w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-5-672x420.jpg 672w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-5-1344x840.jpg 1344w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-5.jpg 1440w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" title=\"\"><figcaption class=\"wp-element-caption\">Hi\u1ec7u hai b\u00ecnh ph\u01b0\u01a1ng<\/figcaption><\/figure>\n\n\n\n<p><strong>V\u00ed d\u1ee5:<\/strong><\/p>\n\n\n\n<p>x\u00b2 &#8211; 9 = x\u00b2 &#8211; 3\u00b2 = (x + 3)(x &#8211; 3)<\/p>\n\n\n\n<p>4x\u00b2 &#8211; 25y\u00b2 = (2x)\u00b2 &#8211; (5y)\u00b2 = (2x + 5y)(2x &#8211; 5y)<\/p>\n\n\n\n<h3><span class=\"ez-toc-section\" id=\"Lap_phuong_cua_mot_tong\"><\/span><strong>L\u1eadp ph\u01b0\u01a1ng c\u1ee7a m\u1ed9t t\u1ed5ng<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p><strong>L\u00fd thuy\u1ebft:<\/strong> L\u1eadp ph\u01b0\u01a1ng c\u1ee7a m\u1ed9t t\u1ed5ng hai s\u1ed1 b\u1eb1ng l\u1eadp ph\u01b0\u01a1ng s\u1ed1 th\u1ee9 nh\u1ea5t c\u1ed9ng v\u1edbi ba l\u1ea7n t\u00edch c\u1ee7a b\u00ecnh ph\u01b0\u01a1ng s\u1ed1 th\u1ee9 nh\u1ea5t v\u1edbi s\u1ed1 th\u1ee9 hai, c\u1ed9ng v\u1edbi ba l\u1ea7n t\u00edch c\u1ee7a s\u1ed1 th\u1ee9 nh\u1ea5t v\u1edbi b\u00ecnh ph\u01b0\u01a1ng s\u1ed1 th\u1ee9 hai, c\u1ed9ng v\u1edbi l\u1eadp ph\u01b0\u01a1ng s\u1ed1 th\u1ee9 hai.<\/p>\n\n\n\n<p><strong>C\u00f4ng th\u1ee9c:<\/strong> (a + b)\u00b3 = a\u00b3 + 3a\u00b2b + 3ab\u00b2 + b\u00b3<\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-6-1024x640.jpg\" alt=\"L\u1eadp ph\u01b0\u01a1ng c\u1ee7a m\u1ed9t t\u1ed5ng\" class=\"wp-image-122185\" width=\"1024\" height=\"640\" srcset=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-6-1024x640.jpg 1024w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-6-300x188.jpg 300w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-6-768x480.jpg 768w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-6-150x94.jpg 150w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-6-600x375.jpg 600w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-6-696x435.jpg 696w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-6-1392x870.jpg 1392w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-6-1068x668.jpg 1068w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-6-672x420.jpg 672w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-6-1344x840.jpg 1344w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-6.jpg 1440w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" title=\"\"><figcaption class=\"wp-element-caption\">L\u1eadp ph\u01b0\u01a1ng c\u1ee7a m\u1ed9t t\u1ed5ng<\/figcaption><\/figure>\n\n\n\n<p><strong>V\u00ed d\u1ee5:<\/strong><\/p>\n\n\n\n<p>(x + 2)\u00b3 = x\u00b3 + 3(x\u00b2)(2) + 3(x)(2\u00b2) + 2\u00b3 = x\u00b3 + 6x\u00b2 + 12x + 8<\/p>\n\n\n\n<p>(2x + y)\u00b3 = (2x)\u00b3 + 3(2x)\u00b2(y) + 3(2x)(y\u00b2) + y\u00b3 = 8x\u00b3 + 12x\u00b2y + 6xy\u00b2 + y\u00b3<\/p>\n\n\n\n<h3><span class=\"ez-toc-section\" id=\"Lap_phuong_cua_mot_hieu\"><\/span><strong>L\u1eadp ph\u01b0\u01a1ng c\u1ee7a m\u1ed9t hi\u1ec7u<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p><strong>L\u00fd thuy\u1ebft:<\/strong> L\u1eadp ph\u01b0\u01a1ng c\u1ee7a m\u1ed9t hi\u1ec7u hai s\u1ed1 b\u1eb1ng l\u1eadp ph\u01b0\u01a1ng s\u1ed1 th\u1ee9 nh\u1ea5t tr\u1eeb \u0111i ba l\u1ea7n t\u00edch c\u1ee7a b\u00ecnh ph\u01b0\u01a1ng s\u1ed1 th\u1ee9 nh\u1ea5t v\u1edbi s\u1ed1 th\u1ee9 hai, c\u1ed9ng v\u1edbi ba l\u1ea7n t\u00edch c\u1ee7a s\u1ed1 th\u1ee9 nh\u1ea5t v\u1edbi b\u00ecnh ph\u01b0\u01a1ng s\u1ed1 th\u1ee9 hai, tr\u1eeb \u0111i l\u1eadp ph\u01b0\u01a1ng s\u1ed1 th\u1ee9 hai.<\/p>\n\n\n\n<p><strong>C\u00f4ng th\u1ee9c: <\/strong>(a &#8211; b)\u00b3 = a\u00b3 &#8211; 3a\u00b2b + 3ab\u00b2 &#8211; b\u00b3<\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-7-1024x640.jpg\" alt=\"L\u1eadp ph\u01b0\u01a1ng c\u1ee7a m\u1ed9t hi\u1ec7u\" class=\"wp-image-122186\" width=\"1021\" height=\"638\" srcset=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-7-1024x640.jpg 1024w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-7-300x188.jpg 300w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-7-768x480.jpg 768w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-7-150x94.jpg 150w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-7-600x375.jpg 600w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-7-696x435.jpg 696w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-7-1392x870.jpg 1392w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-7-1068x668.jpg 1068w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-7-672x420.jpg 672w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-7-1344x840.jpg 1344w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-7.jpg 1440w\" sizes=\"(max-width: 1021px) 100vw, 1021px\" title=\"\"><figcaption class=\"wp-element-caption\">L\u1eadp ph\u01b0\u01a1ng c\u1ee7a m\u1ed9t hi\u1ec7u<\/figcaption><\/figure>\n\n\n\n<p><strong>V\u00ed d\u1ee5:<\/strong><\/p>\n\n\n\n<p>(x &#8211; 3)\u00b3 = x\u00b3 &#8211; 3(x\u00b2)(3) + 3(x)(3\u00b2) &#8211; 3\u00b3 = x\u00b3 &#8211; 9x\u00b2 + 27x &#8211; 27<\/p>\n\n\n\n<p>(3x &#8211; 2y)\u00b3 = (3x)\u00b3 &#8211; 3(3x)\u00b2(2y) + 3(3x)(2y)\u00b2 &#8211; (2y)\u00b3 = 27x\u00b3 &#8211; 54x\u00b2y + 36xy\u00b2 &#8211; 8y\u00b3<\/p>\n\n\n\n<h3><span class=\"ez-toc-section\" id=\"Tong_hai_lap_phuong\"><\/span><strong>T\u1ed5ng hai l\u1eadp ph\u01b0\u01a1ng<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p><strong>L\u00fd thuy\u1ebft:<\/strong> T\u1ed5ng hai l\u1eadp ph\u01b0\u01a1ng c\u1ee7a hai s\u1ed1 b\u1eb1ng t\u00edch c\u1ee7a t\u1ed5ng hai s\u1ed1 \u0111\u00f3 v\u1edbi b\u00ecnh ph\u01b0\u01a1ng thi\u1ebfu c\u1ee7a hi\u1ec7u hai s\u1ed1 \u0111\u00f3.<\/p>\n\n\n\n<p><strong>C\u00f4ng th\u1ee9c:<\/strong> a\u00b3 + b\u00b3 = (a + b)(a\u00b2 &#8211; ab + b\u00b2)<\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-8-1024x640.jpg\" alt=\"T\u1ed5ng hai l\u1eadp ph\u01b0\u01a1ng\" class=\"wp-image-122187\" width=\"1024\" height=\"640\" srcset=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-8-1024x640.jpg 1024w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-8-300x188.jpg 300w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-8-768x480.jpg 768w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-8-150x94.jpg 150w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-8-600x375.jpg 600w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-8-696x435.jpg 696w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-8-1392x870.jpg 1392w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-8-1068x668.jpg 1068w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-8-672x420.jpg 672w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-8-1344x840.jpg 1344w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-8.jpg 1440w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" title=\"\"><figcaption class=\"wp-element-caption\">T\u1ed5ng hai l\u1eadp ph\u01b0\u01a1ng<\/figcaption><\/figure>\n\n\n\n<p><strong>V\u00ed d\u1ee5:<\/strong><\/p>\n\n\n\n<p>x\u00b3 + 8 = x\u00b3 + 2\u00b3 = (x + 2)(x\u00b2 &#8211; 2x + 4)<\/p>\n\n\n\n<p>27x\u00b3 + y\u00b3 = (3x)\u00b3 + y\u00b3 = (3x + y)(9x\u00b2 &#8211; 3xy + y\u00b2)<\/p>\n\n\n\n<h3><span class=\"ez-toc-section\" id=\"Hieu_hai_lap_phuong\"><\/span><strong>Hi\u1ec7u hai l\u1eadp ph\u01b0\u01a1ng<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p><strong>L\u00fd thuy\u1ebft: <\/strong>Hi\u1ec7u hai l\u1eadp ph\u01b0\u01a1ng c\u1ee7a hai s\u1ed1 b\u1eb1ng t\u00edch c\u1ee7a hi\u1ec7u hai s\u1ed1 \u0111\u00f3 v\u1edbi b\u00ecnh ph\u01b0\u01a1ng thi\u1ebfu c\u1ee7a t\u1ed5ng hai s\u1ed1 \u0111\u00f3.<\/p>\n\n\n\n<p><strong>C\u00f4ng th\u1ee9c: <\/strong>a\u00b3 &#8211; b\u00b3 = (a &#8211; b)(a\u00b2 + ab + b\u00b2)<\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-9-1024x640.jpg\" alt=\"Hi\u1ec7u hai l\u1eadp ph\u01b0\u01a1ng\" class=\"wp-image-122188\" width=\"1021\" height=\"638\" srcset=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-9-1024x640.jpg 1024w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-9-300x188.jpg 300w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-9-768x480.jpg 768w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-9-150x94.jpg 150w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-9-600x375.jpg 600w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-9-696x435.jpg 696w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-9-1392x870.jpg 1392w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-9-1068x668.jpg 1068w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-9-672x420.jpg 672w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-9-1344x840.jpg 1344w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-9.jpg 1440w\" sizes=\"(max-width: 1021px) 100vw, 1021px\" title=\"\"><figcaption class=\"wp-element-caption\">Hi\u1ec7u hai l\u1eadp ph\u01b0\u01a1ng<\/figcaption><\/figure>\n\n\n\n<p><strong>V\u00ed d\u1ee5:<\/strong><\/p>\n\n\n\n<p>x\u00b3 &#8211; 27 = x\u00b3 &#8211; 3\u00b3 = (x &#8211; 3)(x\u00b2 + 3x + 9)<\/p>\n\n\n\n<p>8x\u00b3 &#8211; 125y\u00b3 = (2x)\u00b3 &#8211; (5y)\u00b3 = (2x &#8211; 5y)(4x\u00b2 + 10xy + 25y\u00b2)<\/p>\n\n\n\n<h2><span class=\"ez-toc-section\" id=\"Cac_hang_dang_thuc_mo_rong\"><\/span><strong>C\u00e1c h\u1eb1ng \u0111\u1eb3ng th\u1ee9c m\u1edf r\u1ed9ng<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>B\u00ean c\u1ea1nh 7 h\u1eb1ng \u0111\u1eb3ng th\u1ee9c \u0111\u00e1ng nh\u1edb c\u01a1 b\u1ea3n, to\u00e1n h\u1ecdc c\u00f2n c\u00f3 c\u00e1c h\u1eb1ng \u0111\u1eb3ng th\u1ee9c m\u1edf r\u1ed9ng gi\u00fap gi\u1ea3i quy\u1ebft nh\u1eefng b\u00e0i to\u00e1n ph\u1ee9c t\u1ea1p h\u01a1n. C\u00e1c c\u00f4ng th\u1ee9c n\u00e0y th\u01b0\u1eddng xu\u1ea5t hi\u1ec7n khi l\u00e0m vi\u1ec7c v\u1edbi \u0111a th\u1ee9c b\u1eadc cao, gi\u00fap khai tri\u1ec3n ho\u1eb7c r\u00fat g\u1ecdn bi\u1ec3u th\u1ee9c m\u1ed9t c\u00e1ch hi\u1ec7u qu\u1ea3. D\u01b0\u1edbi \u0111\u00e2y l\u00e0 m\u1ed9t s\u1ed1 h\u1eb1ng \u0111\u1eb3ng th\u1ee9c m\u1edf r\u1ed9ng quan tr\u1ecdng:<\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-10-1024x640.jpg\" alt=\"C\u00e1c h\u1eb1ng \u0111\u1eb3ng th\u1ee9c m\u1edf r\u1ed9ng\" class=\"wp-image-122189\" width=\"1021\" height=\"638\" srcset=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-10-1024x640.jpg 1024w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-10-300x188.jpg 300w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-10-768x480.jpg 768w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-10-150x94.jpg 150w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-10-600x375.jpg 600w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-10-696x435.jpg 696w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-10-1392x870.jpg 1392w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-10-1068x668.jpg 1068w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-10-672x420.jpg 672w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-10-1344x840.jpg 1344w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-10.jpg 1440w\" sizes=\"(max-width: 1021px) 100vw, 1021px\" title=\"\"><figcaption class=\"wp-element-caption\">C\u00e1c h\u1eb1ng \u0111\u1eb3ng th\u1ee9c m\u1edf r\u1ed9ng<\/figcaption><\/figure>\n\n\n\n<h3><span class=\"ez-toc-section\" id=\"Hang_dang_thuc_mo_rong_bac_hai\"><\/span><strong>H\u1eb1ng \u0111\u1eb3ng th\u1ee9c m\u1edf r\u1ed9ng b\u1eadc hai<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<ul>\n<li><strong>(a + b + c)\u00b2 = a\u00b2 + b\u00b2 + c\u00b2 + 2ab + 2bc + 2ca<\/strong><\/li>\n<\/ul>\n\n\n\n<ul>\n<li><strong>(a &#8211; b + c)\u00b2 = a\u00b2 + b\u00b2 + c\u00b2 &#8211; 2ab &#8211; 2bc + 2ca<\/strong><\/li>\n<\/ul>\n\n\n\n<ul>\n<li><strong>(a + b + c + d)\u00b2 = a\u00b2 + b\u00b2 + c\u00b2 + d\u00b2 + 2ab + 2bc + 2ca + 2ad + 2bd + 2cd<\/strong><\/li>\n<\/ul>\n\n\n\n<h3><span class=\"ez-toc-section\" id=\"Hang_dang_thuc_mo_rong_bac_ba\"><\/span><strong>H\u1eb1ng \u0111\u1eb3ng th\u1ee9c m\u1edf r\u1ed9ng b\u1eadc ba<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<ul>\n<li><strong>a<\/strong><strong><sup>3<\/sup><\/strong><strong> + b<\/strong><strong><sup>3<\/sup><\/strong><strong> = (a + b)<\/strong><strong><sup>3<\/sup><\/strong><strong> \u2013 3ab(a + b)<\/strong><\/li>\n\n\n\n<li><strong>a<\/strong><strong><sup>3<\/sup><\/strong><strong> \u2013 b<\/strong><strong><sup>3<\/sup><\/strong><strong> = (a \u2013 b)<\/strong><strong><sup>3<\/sup><\/strong><strong> + 3ab(a \u2013 b)<\/strong><\/li>\n\n\n\n<li><strong>(a + b + c)<\/strong><strong><sup>3<\/sup><\/strong><strong> = a<\/strong><strong><sup>3<\/sup><\/strong><strong> + b<\/strong><strong><sup>3<\/sup><\/strong><strong> + c<\/strong><strong><sup>3<\/sup><\/strong><strong> + 3(a + b)(a + c)(b + c)<\/strong><\/li>\n\n\n\n<li><strong>a<\/strong><strong><sup>3<\/sup><\/strong><strong> + b<\/strong><strong><sup>3<\/sup><\/strong><strong> + c<\/strong><strong><sup>3<\/sup><\/strong><strong> \u2212 3abc = (a + b + c)(a<\/strong><strong><sup>2<\/sup><\/strong><strong> + b<\/strong><strong><sup>2<\/sup><\/strong><strong> + c<\/strong><strong><sup>2<\/sup><\/strong><strong> \u2212 ab \u2212 bc \u2212 ca)<\/strong><\/li>\n\n\n\n<li><strong>(a \u2013 b)<\/strong><strong><sup>3<\/sup><\/strong><strong> + (b \u2013 c)<\/strong><strong><sup>3<\/sup><\/strong><strong> + (c \u2013 a)<\/strong><strong><sup>3<\/sup><\/strong><strong> = 3(a \u2013 b)(b \u2013 c)(c \u2013 a)<\/strong><\/li>\n\n\n\n<li><strong>(a + b)(b + c)(c + a) \u2013 8abc = a(b \u2013 c)<\/strong><strong><sup>2<\/sup><\/strong><strong> + b(c \u2013 a)<\/strong><strong><sup>2<\/sup><\/strong><strong> + c(a \u2013 b)<\/strong><strong><sup>2<\/sup><\/strong><\/li>\n\n\n\n<li><strong>(a + b)(b + c)(c + a) = (a + b + c)(ab + bc + ca) \u2212 abc<\/strong><\/li>\n\n\n\n<li><strong>(a + b)(b + c)(c + a) \u2013 8abc = a(b \u2013 c)<\/strong><strong><sup>2<\/sup><\/strong><strong> + b(c \u2013 a)<\/strong><strong><sup>2<\/sup><\/strong><strong> + c(a \u2013 b)<\/strong><strong><sup>2<\/sup><\/strong><\/li>\n\n\n\n<li><strong>(a + b)(b + c)(c + a) = (a + b + c)(ab + bc + ca) \u2212 abc<\/strong><\/li>\n<\/ul>\n\n\n\n<h3><span class=\"ez-toc-section\" id=\"Hang_dang_thuc_dang_tong_quat\"><\/span><strong>H\u1eb1ng \u0111\u1eb3ng th\u1ee9c d\u1ea1ng t\u1ed5ng qu\u00e1t<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p><strong>L\u00fd thuy\u1ebft:<\/strong><\/p>\n\n\n\n<p>H\u1eb1ng \u0111\u1eb3ng th\u1ee9c d\u1ea1ng t\u1ed5ng qu\u00e1t l\u00e0 s\u1ef1 m\u1edf r\u1ed9ng c\u1ee7a c\u00e1c h\u1eb1ng \u0111\u1eb3ng th\u1ee9c c\u01a1 b\u1ea3n \u0111\u1ec3 \u00e1p d\u1ee5ng cho c\u00e1c \u0111a th\u1ee9c c\u00f3 nhi\u1ec1u s\u1ed1 h\u1ea1ng ho\u1eb7c l\u0169y th\u1eeba cao h\u01a1n. Nh\u1eefng c\u00f4ng th\u1ee9c n\u00e0y gi\u00fap khai tri\u1ec3n, ph\u00e2n t\u00edch ho\u1eb7c r\u00fat g\u1ecdn c\u00e1c bi\u1ec3u th\u1ee9c ph\u1ee9c t\u1ea1p trong \u0111\u1ea1i s\u1ed1.<\/p>\n\n\n\n<p><strong>a1 + a2 + &#8230; + an )2 = a12 + a22 + &#8230; + an2 + 2a1a2 + &#8230; + 2a1an + 2a2a3 + &#8230; + an-1an&nbsp;&nbsp;<\/strong><\/p>\n\n\n\n<p><strong>an + bn = ( a + b )( an-1 &#8211; an-2b + an-3b2 &#8211; &#8230; + bn-1 ) v\u1edbi n ch\u1eb5n<\/strong><\/p>\n\n\n\n<p><strong>an &#8211; bn = ( a &#8211; b )( an-1 + an-2b + an-3b2 + &#8230; + bn-1 )&nbsp; v\u1edbi n l\u1ebb<\/strong><\/p>\n\n\n\n<p><strong>an &#8211; bn = ( a &#8211; b )( an-1 + an-2b + an-3b2 + &#8230; + bn-1 ) &nbsp; v\u1edbi n ch\u1eb5n<\/strong><\/p>\n\n\n\n<p><strong>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;= (a + b)( an-1 &#8211; an-2b + an-3b2 &#8211; &#8230; + bn-1 )<\/strong><\/p>\n\n\n\n<div class=\"pv-products-card\"><div class=\"pv-products-title\"><div>Tham kh\u1ea3o m\u1ed9t s\u1ed1 d\u00f2ng laptop n\u1ed5i b\u1eadt, b\u00e1n ch\u1ea1y t\u1ea1i Phong V\u0169 d\u01b0\u1edbi \u0111\u00e2y:<\/div><\/div><div class=\"pv-products\" data-type=\"carousel\" data-key=\"product-area\" data-skus=\"220101409,230703418,230703419,230704076,231002798,231004204,240302749,240302752,240502377,240602773\"><\/div><\/div>\n\n\n\n<h2><span class=\"ez-toc-section\" id=\"Bai_tap_co_loi_giai_ve_7_hang_dang_thuc_dang_nho\"><\/span><strong>B\u00e0i t\u1eadp c\u00f3 l\u1eddi gi\u1ea3i v\u1ec1 7 h\u1eb1ng \u0111\u1eb3ng th\u1ee9c \u0111\u00e1ng nh\u1edb<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u0110\u1ec3 hi\u1ec3u r\u00f5 h\u01a1n v\u1ec1 7 h\u1eb1ng \u0111\u1eb3ng th\u1ee9c \u0111\u00e1ng nh\u1edb v\u00e0 c\u00e1ch \u00e1p d\u1ee5ng ch\u00fang v\u00e0o gi\u1ea3i to\u00e1n, ch\u00fang ta s\u1ebd c\u00f9ng xem qua m\u1ed9t s\u1ed1 b\u00e0i t\u1eadp minh h\u1ecda. C\u00e1c b\u00e0i t\u1eadp n\u00e0y gi\u00fap r\u00e8n luy\u1ec7n k\u1ef9 n\u0103ng khai tri\u1ec3n, r\u00fat g\u1ecdn bi\u1ec3u th\u1ee9c v\u00e0 t\u00ednh to\u00e1n nhanh h\u01a1n, \u0111\u1ed3ng th\u1eddi h\u1ed7 tr\u1ee3 vi\u1ec7c h\u1ecdc t\u1ed1t c\u00e1c ph\u1ea7n li\u00ean quan \u0111\u1ebfn \u0111a th\u1ee9c trong to\u00e1n h\u1ecdc. D\u01b0\u1edbi \u0111\u00e2y l\u00e0 m\u1ed9t s\u1ed1 b\u00e0i t\u1eadp c\u00f3 l\u1eddi gi\u1ea3i chi ti\u1ebft \u0111\u1ec3 b\u1ea1n tham kh\u1ea3o:<\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-11-1024x640.jpg\" alt=\"B\u00e0i t\u1eadp c\u00f3 l\u1eddi gi\u1ea3i v\u1ec1 7 h\u1eb1ng \u0111\u1eb3ng th\u1ee9c\" class=\"wp-image-122190\" width=\"1024\" height=\"640\" srcset=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-11-1024x640.jpg 1024w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-11-300x188.jpg 300w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-11-768x480.jpg 768w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-11-150x94.jpg 150w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-11-600x375.jpg 600w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-11-696x435.jpg 696w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-11-1392x870.jpg 1392w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-11-1068x668.jpg 1068w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-11-672x420.jpg 672w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-11-1344x840.jpg 1344w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/7-hang-dang-thuc-dang-nho-11.jpg 1440w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" title=\"\"><figcaption class=\"wp-element-caption\">B\u00e0i t\u1eadp c\u00f3 l\u1eddi gi\u1ea3i v\u1ec1 7 h\u1eb1ng \u0111\u1eb3ng th\u1ee9c<\/figcaption><\/figure>\n\n\n\n<p><strong>1. B\u00ecnh ph\u01b0\u01a1ng c\u1ee7a m\u1ed9t t\u1ed5ng: (a + b)\u00b2 = a\u00b2 + 2ab + b\u00b2<\/strong><\/p>\n\n\n\n<p><strong>V\u00ed d\u1ee5<\/strong>: T\u00ednh (x + 5)\u00b2<\/p>\n\n\n\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><\/p>\n\n\n\n<ul>\n<li><strong>\u00c1p d\u1ee5ng c\u00f4ng th\u1ee9c:<\/strong> (x + 5)\u00b2 = x\u00b2 + 2(x)(5) + 5\u00b2<\/li>\n\n\n\n<li><strong>K\u1ebft qu\u1ea3: <\/strong>x\u00b2 + 10x + 25<\/li>\n<\/ul>\n\n\n\n<p><strong>2. B\u00ecnh ph\u01b0\u01a1ng c\u1ee7a m\u1ed9t hi\u1ec7u: (a &#8211; b)\u00b2 = a\u00b2 &#8211; 2ab + b\u00b2<\/strong><\/p>\n\n\n\n<p><strong>V\u00ed d\u1ee5:<\/strong> T\u00ednh (2y &#8211; 3)\u00b2<\/p>\n\n\n\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><\/p>\n\n\n\n<ul>\n<li><strong>\u00c1p d\u1ee5ng c\u00f4ng th\u1ee9c:<\/strong> (2y &#8211; 3)\u00b2 = (2y)\u00b2 &#8211; 2(2y)(3) + 3\u00b2<\/li>\n\n\n\n<li><strong>K\u1ebft qu\u1ea3:<\/strong> 4y\u00b2 &#8211; 12y + 9<\/li>\n<\/ul>\n\n\n\n<p><strong>3. Hi\u1ec7u hai b\u00ecnh ph\u01b0\u01a1ng: a\u00b2 &#8211; b\u00b2 = (a + b)(a &#8211; b)<\/strong><\/p>\n\n\n\n<p><strong>V\u00ed d\u1ee5:<\/strong> T\u00ednh x\u00b2 &#8211; 16<\/p>\n\n\n\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><\/p>\n\n\n\n<ul>\n<li><strong>Vi\u1ebft l\u1ea1i:<\/strong> x\u00b2 &#8211; 16 = x\u00b2 &#8211; 4\u00b2<\/li>\n\n\n\n<li><strong>\u00c1p d\u1ee5ng c\u00f4ng th\u1ee9c: <\/strong>x\u00b2 &#8211; 4\u00b2 = (x + 4)(x &#8211; 4)<\/li>\n\n\n\n<li><strong>K\u1ebft qu\u1ea3: <\/strong>(x + 4)(x &#8211; 4)<\/li>\n<\/ul>\n\n\n\n<p><strong>4. L\u1eadp ph\u01b0\u01a1ng c\u1ee7a m\u1ed9t t\u1ed5ng: (a + b)\u00b3 = a\u00b3 + 3a\u00b2b + 3ab\u00b2 + b\u00b3<\/strong><\/p>\n\n\n\n<p><strong>V\u00ed d\u1ee5:<\/strong> T\u00ednh (x + 2)\u00b3<\/p>\n\n\n\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><\/p>\n\n\n\n<ul>\n<li><strong>\u00c1p d\u1ee5ng c\u00f4ng th\u1ee9c:<\/strong> (x + 2)\u00b3 = x\u00b3 + 3(x\u00b2)(2) + 3(x)(2\u00b2) + 2\u00b3<\/li>\n\n\n\n<li><strong>K\u1ebft qu\u1ea3:<\/strong> x\u00b3 + 6x\u00b2 + 12x + 8<\/li>\n<\/ul>\n\n\n\n<p><strong>5. L\u1eadp ph\u01b0\u01a1ng c\u1ee7a m\u1ed9t hi\u1ec7u: (a &#8211; b)\u00b3 = a\u00b3 &#8211; 3a\u00b2b + 3ab\u00b2 &#8211; b\u00b3<\/strong><\/p>\n\n\n\n<p><strong>V\u00ed d\u1ee5:<\/strong> T\u00ednh (3y &#8211; 1)\u00b3<\/p>\n\n\n\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><\/p>\n\n\n\n<ul>\n<li><strong>\u00c1p d\u1ee5ng c\u00f4ng th\u1ee9c:<\/strong> (3y &#8211; 1)\u00b3 = (3y)\u00b3 &#8211; 3(3y)\u00b2(1) + 3(3y)(1\u00b2) &#8211; 1\u00b3<\/li>\n\n\n\n<li><strong>K\u1ebft qu\u1ea3:<\/strong> 27y\u00b3 &#8211; 27y\u00b2 + 9y &#8211; 1<\/li>\n<\/ul>\n\n\n\n<p><strong>6. T\u1ed5ng hai l\u1eadp ph\u01b0\u01a1ng: a\u00b3 + b\u00b3 = (a + b)(a\u00b2 &#8211; ab + b\u00b2)<\/strong><\/p>\n\n\n\n<p><strong>V\u00ed d\u1ee5:<\/strong> T\u00ednh x\u00b3 + 8<\/p>\n\n\n\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><\/p>\n\n\n\n<p><strong>Vi\u1ebft l\u1ea1i:<\/strong> x\u00b3 + 8 = x\u00b3 + 2\u00b3<\/p>\n\n\n\n<ul>\n<li><strong>\u00c1p d\u1ee5ng c\u00f4ng th\u1ee9c:<\/strong> x\u00b3 + 2\u00b3 = (x + 2)(x\u00b2 &#8211; 2x + 4)<\/li>\n\n\n\n<li><strong>K\u1ebft qu\u1ea3:<\/strong> (x + 2)(x\u00b2 &#8211; 2x + 4)<\/li>\n<\/ul>\n\n\n\n<p><strong>7. Hi\u1ec7u hai l\u1eadp ph\u01b0\u01a1ng: a\u00b3 &#8211; b\u00b3 = (a &#8211; b)(a\u00b2 + ab + b\u00b2)<\/strong><\/p>\n\n\n\n<p><strong>V\u00ed d\u1ee5:<\/strong> T\u00ednh 27y\u00b3 &#8211; 1<\/p>\n\n\n\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><\/p>\n\n\n\n<ul>\n<li><strong>Vi\u1ebft l\u1ea1i:<\/strong> 27y\u00b3 &#8211; 1 = (3y)\u00b3 &#8211; 1\u00b3<\/li>\n\n\n\n<li><strong>\u00c1p d\u1ee5ng c\u00f4ng th\u1ee9c: <\/strong>(3y)\u00b3 &#8211; 1\u00b3 = (3y &#8211; 1)(9y\u00b2 + 3y + 1)<\/li>\n\n\n\n<li><strong>K\u1ebft qu\u1ea3: <\/strong>(3y &#8211; 1)(9y\u00b2 + 3y + 1)<\/li>\n<\/ul>\n\n\n\n<p>7 h\u1eb1ng \u0111\u1eb3ng th\u1ee9c \u0111\u00e1ng nh\u1edb l\u00e0 nh\u1eefng c\u00f4ng c\u1ee5 quan tr\u1ecdng gi\u00fap khai tri\u1ec3n v\u00e0 r\u00fat g\u1ecdn bi\u1ec3u th\u1ee9c nhanh ch\u00f3ng. Vi\u1ec7c n\u1eafm v\u1eefng v\u00e0 th\u1ef1c h\u00e0nh v\u1edbi c\u00e1c b\u00e0i t\u1eadp s\u1ebd gi\u00fap b\u1ea1n \u00e1p d\u1ee5ng ch\u00fang hi\u1ec7u qu\u1ea3 v\u00e0o gi\u1ea3i to\u00e1n.<\/p>\n\n\n\n<h2><span class=\"ez-toc-section\" id=\"Loi_ket\"><\/span><strong>L\u1eddi k\u1ebft<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>7 h\u1eb1ng \u0111\u1eb3ng th\u1ee9c \u0111\u00e1ng nh\u1edb l\u00e0 c\u00f4ng c\u1ee5 quan tr\u1ecdng gi\u00fap \u0111\u01a1n gi\u1ea3n h\u00f3a bi\u1ec3u th\u1ee9c v\u00e0 gi\u1ea3i quy\u1ebft nhanh c\u00e1c b\u00e0i to\u00e1n \u0111\u1ea1i s\u1ed1. Vi\u1ec7c n\u1eafm v\u1eefng l\u00fd thuy\u1ebft v\u00e0 th\u1ef1c h\u00e0nh qua c\u00e1c b\u00e0i t\u1eadp s\u1ebd gi\u00fap b\u1ea1n \u00e1p d\u1ee5ng linh ho\u1ea1t v\u00e0o th\u1ef1c t\u1ebf, t\u1eeb \u0111\u00f3 n\u00e2ng cao k\u1ef9 n\u0103ng to\u00e1n h\u1ecdc. Hy v\u1ecdng b\u00e0i vi\u1ebft n\u00e0y \u0111\u00e3 gi\u00fap b\u1ea1n hi\u1ec3u r\u00f5 h\u01a1n v\u1ec1 c\u00e1ch s\u1eed d\u1ee5ng 7 h\u1eb1ng \u0111\u1eb3ng th\u1ee9c \u0111\u00e1ng nh\u1edb trong h\u1ecdc t\u1eadp v\u00e0 gi\u1ea3i b\u00e0i t\u1eadp hi\u1ec7u qu\u1ea3.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>7 h\u1eb1ng \u0111\u1eb3ng th\u1ee9c \u0111\u00e1ng nh\u1edb l\u00e0 n\u1ec1n t\u1ea3ng quan tr\u1ecdng trong to\u00e1n h\u1ecdc, gi\u00fap r\u00fat g\u1ecdn bi\u1ec3u th\u1ee9c v\u00e0 gi\u1ea3i b\u00e0i to\u00e1n nhanh ch\u00f3ng, ch\u00ednh x\u00e1c. Vi\u1ec7c n\u1eafm v\u1eefng v\u00e0 v\u1eadn d\u1ee5ng linh ho\u1ea1t c\u00e1c h\u1eb1ng \u0111\u1eb3ng th\u1ee9c n\u00e0y kh\u00f4ng ch\u1ec9 gi\u00fap h\u1ecdc sinh gi\u1ea3i quy\u1ebft b\u00e0i t\u1eadp d\u1ec5 d\u00e0ng m\u00e0 c\u00f2n n\u00e2ng cao [&hellip;]<\/p>\n","protected":false},"author":31,"featured_media":122801,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false},"categories":[24],"tags":[],"_links":{"self":[{"href":"https:\/\/phongvu.vn\/cong-nghe\/wp-json\/wp\/v2\/posts\/122162"}],"collection":[{"href":"https:\/\/phongvu.vn\/cong-nghe\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/phongvu.vn\/cong-nghe\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/phongvu.vn\/cong-nghe\/wp-json\/wp\/v2\/users\/31"}],"replies":[{"embeddable":true,"href":"https:\/\/phongvu.vn\/cong-nghe\/wp-json\/wp\/v2\/comments?post=122162"}],"version-history":[{"count":4,"href":"https:\/\/phongvu.vn\/cong-nghe\/wp-json\/wp\/v2\/posts\/122162\/revisions"}],"predecessor-version":[{"id":122692,"href":"https:\/\/phongvu.vn\/cong-nghe\/wp-json\/wp\/v2\/posts\/122162\/revisions\/122692"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/phongvu.vn\/cong-nghe\/wp-json\/wp\/v2\/media\/122801"}],"wp:attachment":[{"href":"https:\/\/phongvu.vn\/cong-nghe\/wp-json\/wp\/v2\/media?parent=122162"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/phongvu.vn\/cong-nghe\/wp-json\/wp\/v2\/categories?post=122162"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/phongvu.vn\/cong-nghe\/wp-json\/wp\/v2\/tags?post=122162"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}