{"id":347,"date":"2023-07-06T02:26:23","date_gmt":"2023-07-06T02:26:23","guid":{"rendered":"https:\/\/mathority.org\/ru\/%d1%82%d1%80%d0%b5%d1%85%d1%87%d0%bb%d0%b5%d0%bd-%d0%b2-%d0%ba%d0%b2%d0%b0%d0%b4%d1%80%d0%b0%d1%82%d0%b5\/"},"modified":"2023-07-06T02:26:23","modified_gmt":"2023-07-06T02:26:23","slug":"%d1%82%d1%80%d0%b5%d1%85%d1%87%d0%bb%d0%b5%d0%bd-%d0%b2-%d0%ba%d0%b2%d0%b0%d0%b4%d1%80%d0%b0%d1%82%d0%b5","status":"publish","type":"post","link":"https:\/\/mathority.org\/ru\/%d1%82%d1%80%d0%b5%d1%85%d1%87%d0%bb%d0%b5%d0%bd-%d0%b2-%d0%ba%d0%b2%d0%b0%d0%b4%d1%80%d0%b0%d1%82%d0%b5\/","title":{"rendered":"\u0422\u0440\u0435\u0445\u0447\u043b\u0435\u043d \u0432 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0435"},"content":{"rendered":"<p>\u041d\u0430 \u044d\u0442\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u043c\u044b \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u043c, \u043a\u0430\u043a \u0440\u0435\u0448\u0438\u0442\u044c \u043a\u0432\u0430\u0434\u0440\u0430\u0442 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u0430 (\u0444\u043e\u0440\u043c\u0443\u043b\u0430). \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u044b \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u043f\u0440\u0438\u043c\u0435\u0440\u043e\u0432 \u0438 \u043f\u043e\u043f\u0440\u0430\u043a\u0442\u0438\u043a\u043e\u0432\u0430\u0442\u044c\u0441\u044f \u0432 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f\u0445, \u0440\u0435\u0448\u0430\u0435\u043c\u044b\u0445 \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u043e\u0432 \u0432 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0435. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Formula-de-un-trinomio-al-cuadrado\"><\/span> \u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u0430<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u041b\u043e\u0433\u0438\u0447\u0435\u0441\u043a\u0438, \u0447\u0442\u043e\u0431\u044b \u043f\u043e\u043d\u044f\u0442\u044c \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u0430, \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u043d\u0443\u0436\u043d\u043e \u0437\u043d\u0430\u0442\u044c, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 <strong><span style=\"text-decoration: underline;\"> \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d <\/span><\/strong> . \u042f \u043e\u0441\u0442\u0430\u0432\u043b\u044f\u044e \u0432\u0430\u043c \u044d\u0442\u0443 \u0441\u0441\u044b\u043b\u043a\u0443 \u043d\u0430 \u0441\u043b\u0443\u0447\u0430\u0439, \u0435\u0441\u043b\u0438 \u0432\u044b \u0437\u0430\u0445\u043e\u0442\u0438\u0442\u0435 \u043f\u0440\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0435\u0435, \u043f\u0440\u0435\u0436\u0434\u0435 \u0447\u0435\u043c \u043f\u0440\u043e\u0434\u043e\u043b\u0436\u0438\u0442\u044c \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u0438\u0435.<\/p>\n<p> <strong>\u041a\u0432\u0430\u0434\u0440\u0430\u0442 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u0430<\/strong> \u0440\u0430\u0432\u0435\u043d \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0443 \u043f\u0435\u0440\u0432\u043e\u0433\u043e \u0447\u043b\u0435\u043d\u0430 \u043f\u043b\u044e\u0441 \u043a\u0432\u0430\u0434\u0440\u0430\u0442 \u0432\u0442\u043e\u0440\u043e\u0433\u043e \u0447\u043b\u0435\u043d\u0430 \u043f\u043b\u044e\u0441 \u043a\u0432\u0430\u0434\u0440\u0430\u0442 \u0442\u0440\u0435\u0442\u044c\u0435\u0433\u043e \u0447\u043b\u0435\u043d\u0430 \u043f\u043b\u044e\u0441 \u0443\u0434\u0432\u043e\u0435\u043d\u043d\u043e\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u043f\u0435\u0440\u0432\u043e\u0433\u043e \u0447\u043b\u0435\u043d\u0430 \u043d\u0430 \u0432\u0442\u043e\u0440\u043e\u0435, \u043f\u043b\u044e\u0441 \u0443\u0434\u0432\u043e\u0435\u043d\u043d\u043e\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u043f\u0435\u0440\u0432\u043e\u0433\u043e \u0447\u043b\u0435\u043d\u0430 \u043d\u0430 \u0442\u0440\u0435\u0442\u044c\u0435, \u043f\u043b\u044e\u0441 \u0443\u0434\u0432\u043e\u0435\u043d\u043d\u043e\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u043f\u0435\u0440\u0432\u043e\u0433\u043e \u0447\u043b\u0435\u043d\u0430. \u0432\u0442\u043e\u0440\u043e\u0439 \u0437\u0430 \u0442\u0440\u0435\u0442\u0438\u0439. <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/carre-dun-trinome.png\" alt=\"\u043a\u0432\u0430\u0434\u0440\u0430\u0442 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u0430 \u0438\u043b\u0438 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d \u0432 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0435\" class=\"wp-image-2847\" width=\"378\" height=\"302\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u041a\u0432\u0430\u0434\u0440\u0430\u0442 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u0430 \u0442\u0430\u043a \u0432\u0430\u0436\u0435\u043d, \u043f\u043e\u0442\u043e\u043c\u0443 \u0447\u0442\u043e \u044d\u0442\u043e \u0437\u043d\u0430\u0442\u043d\u043e\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 (\u0438\u043b\u0438 \u0437\u043d\u0430\u0442\u043d\u043e\u0435 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u043e), \u0442\u043e \u0435\u0441\u0442\u044c \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0430\u044f \u0444\u043e\u0440\u043c\u0443\u043b\u0430, \u043f\u043e\u0437\u0432\u043e\u043b\u044f\u044e\u0449\u0430\u044f \u0431\u044b\u0441\u0442\u0440\u043e \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u044d\u0442\u0443 \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u044e. \u041d\u0430\u0436\u043c\u0438\u0442\u0435 \u043d\u0430 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0443\u044e \u0441\u0441\u044b\u043b\u043a\u0443, \u0447\u0442\u043e\u0431\u044b \u0443\u0437\u043d\u0430\u0442\u044c, \u043a\u0430\u043a\u043e\u0432\u044b \u0432\u0441\u0435  <strong><span style=\"text-decoration: underline;\">\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0435 \u0444\u043e\u0440\u043c\u0443\u043b\u044b \u043f\u0440\u043e\u0434\u0443\u043a\u0442\u043e\u0432<\/span><\/strong>  . <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplos-de-trinomios-al-cuadrado\"><\/span> \u041f\u0440\u0438\u043c\u0435\u0440\u044b \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043e\u0432 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u043e\u0432<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u041f\u043e\u0441\u043b\u0435 \u0442\u043e\u0433\u043e, \u043a\u0430\u043a \u043c\u044b \u0443\u0432\u0438\u0434\u0435\u043b\u0438, \u043a\u0430\u043a\u043e\u0432\u0430 \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u0430, \u043c\u044b \u0443\u0432\u0438\u0434\u0438\u043c \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u043f\u0440\u0438\u043c\u0435\u0440\u043e\u0432 \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u044f \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u0430:<\/p>\n<h3 class=\"wp-block-heading\"> \u041f\u0440\u0438\u043c\u0435\u0440 1<\/h3>\n<ul>\n<li> \u0412\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0443\u044e \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u0430 \u0432 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0435:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7ee4db6a5192b7efea2342d21275e487_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(x^2+x+3\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"101\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p> \u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u0430:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a9597e2a9cf6403902d36e5ca6411045_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b+c)^2=a^2+b^2+c^2+2ab+2ac+2bc\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"345\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u043e\u0432<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bfaed44949cf9cfbeb3445de33aabd3b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a,b\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"25\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0418<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-41a04eeea923a1a0c28094a8a4680525_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"c\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0444\u043e\u0440\u043c\u0443\u043b\u044b. \u0412 \u044d\u0442\u043e\u043c \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0438<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0412\u043e\u0441\u0442\u043e\u043a<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-09f6edd3d7af07ab26b4a0a71c20c0b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2,\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"22\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0442<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-038741496726a75b03e91a2e030b0287_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x,\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0418<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-41a04eeea923a1a0c28094a8a4680525_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"c\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u043c \u0447\u043b\u0435\u043d\u043e\u043c 3:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-55e06f44486e75e9153a60d36e83bc37_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left. \\begin{array}{c} (a+b+c)^2\\\\[2ex] \\left(x^2+x+3\\right)^2 \\end{array} \\color{red} \\right\\} \\quad \\color{red}\\bm{\\longrightarrow}\\quad  \\color{black} \\begin{array}{c} a=x^2 \\\\[2ex] b=x \\\\[2ex] c=3 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"90\" width=\"343\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0410 \u043a\u043e\u0433\u0434\u0430 \u043c\u044b \u0443\u0436\u0435 \u0437\u043d\u0430\u0435\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f, \u043f\u0440\u043e\u0441\u0442\u043e \u043f\u043e\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u043c \u044d\u0442\u0438 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u0432 \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u0438 \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u0438\u043c \u0440\u0430\u0441\u0447\u0435\u0442\u044b: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemple-de-trinome-au-carre.png\" alt=\"\u043f\u0440\u0438\u043c\u0435\u0440 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u0430 \u0432 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0435\" class=\"wp-image-2850\" width=\"643\" height=\"224\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u0441\u043b\u0435\u0434\u0443\u0435\u0442 \u043e\u0442\u043c\u0435\u0442\u0438\u0442\u044c, \u0447\u0442\u043e \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d \u0432 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0435 \u2014 \u044d\u0442\u043e \u043d\u0435 \u0442\u043e \u0436\u0435 \u0441\u0430\u043c\u043e\u0435, \u0447\u0442\u043e  <strong><span style=\"text-decoration: underline;\">\u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d \u0432 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0435<\/span><\/strong>  . \u042d\u0442\u043e \u0440\u0430\u0441\u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0435\u043d\u043d\u0430\u044f \u043e\u0448\u0438\u0431\u043a\u0430, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043c\u043d\u043e\u0433\u0438\u0435 \u043f\u0443\u0442\u0430\u044e\u0442 \u044d\u0442\u0438 \u0434\u0432\u0430 \u043f\u043e\u043d\u044f\u0442\u0438\u044f. \u041f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0430\u0437\u043b\u0438\u0447\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u044d\u0442\u0438\u043c\u0438 \u0434\u0432\u0443\u043c\u044f \u0442\u0438\u043f\u0430\u043c\u0438 \u0442\u0440\u0451\u0445\u0447\u043b\u0435\u043d\u043e\u0432 \u043c\u043e\u0436\u043d\u043e \u043f\u043e \u0441\u0441\u044b\u043b\u043a\u0435 \u0432 \u044d\u0442\u043e\u043c \u043f\u0430\u0440\u0430\u0433\u0440\u0430\u0444\u0435.<\/p>\n<h3 class=\"wp-block-heading\"> \u041f\u0440\u0438\u043c\u0435\u0440 2<\/h3>\n<ul>\n<li> \u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0439 \u043a\u0432\u0430\u0434\u0440\u0430\u0442 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u0430:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c6ced36e156a021e512b73f322138074_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(x^2-2x+4\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"110\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0427\u0442\u043e\u0431\u044b \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u044d\u0442\u0443 \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0430, \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u0442\u044c \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u0434\u043b\u044f \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u0430, \u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u043d\u043e\u0433\u043e \u0432 \u0434\u0432\u0430:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a9597e2a9cf6403902d36e5ca6411045_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b+c)^2=a^2+b^2+c^2+2ab+2ac+2bc\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"345\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0412 \u044d\u0442\u043e\u0439 \u043f\u0440\u043e\u0431\u043b\u0435\u043c\u0435<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u042d\u0442\u043e \u044d\u043a\u0432\u0438\u0432\u0430\u043b\u0435\u043d\u0442\u043d\u043e<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-09f6edd3d7af07ab26b4a0a71c20c0b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2,\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"22\" style=\"vertical-align: -4px;\"><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u043c\u0443 \u043c\u043e\u043d\u043e\u043c\u0443<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ae405991eecf234826df9d5bbfb8de4e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-2x,\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"36\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0418<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-41a04eeea923a1a0c28094a8a4680525_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"c\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u044d\u0442\u043e \u043d\u043e\u043c\u0435\u0440 4:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e816dc27154d8b4e9748c340da4a04e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left. \\begin{array}{c} (a+b+c)^2\\\\[2ex] \\left(x^2-2x+4\\right)^2 \\end{array} \\color{red} \\right\\} \\quad \\color{red}\\bm{\\longrightarrow}\\quad  \\color{black} \\begin{array}{c} a=x^2 \\\\[2ex] b=-2x \\\\[2ex] c=4 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"90\" width=\"366\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0418\u0442\u0430\u043a \u043f\u043e\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u043c \u043d\u0430\u0439\u0434\u0435\u043d\u043d\u044b\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u0432 \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u0438 \u0440\u0435\u0448\u0430\u0435\u043c \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u044b\u0435 \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u0438:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-97cdd6092e40172071bcb1e84b4df444_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l} \\left(x^2-2x+4\\right)^2 = \\\\[2ex] = \\left(x^2\\right)^2+(-2x)^2+4^2+2\\cdot x^2 \\cdot (-2x) + 2 \\cdot x^2 \\cdot 4 +2 \\cdot (-2x) \\cdot 4 = \\\\[2ex] = x^4+4x^2+16-4x^3 + 8x^2 -16x = \\\\[2ex] = x^4-4x^3+12x^2-16x+16 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"136\" width=\"508\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u041f\u043e\u043c\u043d\u0438\u0442\u0435, \u0447\u0442\u043e \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u0441 \u0447\u0435\u0442\u043d\u044b\u043c \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u0435\u043c \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u043e\u0441\u043d\u043e\u0432\u0430\u043d\u0438\u044f \u0434\u0430\u0435\u0442 \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0447\u043b\u0435\u043d, \u043f\u043e\u044d\u0442\u043e\u043c\u0443<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e252311ea5bbe33f6b3f066ed805d4a0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(-2x)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"53\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0440\u0430\u0432\u043d\u043e<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-dac0d6c1d060e62694d182231bd81d82_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4x^2.\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"31\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0422\u0435\u043f\u0435\u0440\u044c, \u043a\u043e\u0433\u0434\u0430 \u0432\u044b \u0443\u0432\u0438\u0434\u0435\u043b\u0438, \u043a\u0430\u043a \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0435\u0442\u0441\u044f \u043a\u0432\u0430\u0434\u0440\u0430\u0442 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u0430, \u0432\u0430\u043c, \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e, \u0442\u0430\u043a\u0436\u0435 \u0431\u0443\u0434\u0435\u0442 \u0438\u043d\u0442\u0435\u0440\u0435\u0441\u043d\u043e \u0443\u0437\u043d\u0430\u0442\u044c, \u043a\u0430\u043a \u043d\u0430\u0439\u0442\u0438 <strong><span style=\"text-decoration: underline;\"> \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0441\u0443\u043c\u043c\u044b \u043d\u0430 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u044c <\/span><\/strong> \u0434\u0432\u0443\u0445 \u0447\u043b\u0435\u043d\u043e\u0432. \u0424\u0430\u043a\u0442\u0438\u0447\u0435\u0441\u043a\u0438, \u043e\u043d \u0432\u0445\u043e\u0434\u0438\u0442 \u0432 \u0442\u0440\u043e\u0439\u043a\u0443 \u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0445 (\u043d\u0430\u0438\u0431\u043e\u043b\u0435\u0435 \u0432\u0430\u0436\u043d\u044b\u0445) \u043b\u0438\u0447\u043d\u043e\u0441\u0442\u0435\u0439. \u0412\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c, \u043a\u0430\u043a\u043e\u0432\u0430 \u0435\u0433\u043e \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u0438 \u043a\u0430\u043a \u043e\u043d\u0430 \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u0435\u0442\u0441\u044f, \u043d\u0430 \u0441\u0432\u044f\u0437\u0430\u043d\u043d\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Demostracion-de-la-formula-del-cuadrado-de-un-trinomio\"><\/span> \u0414\u0435\u043c\u043e\u043d\u0441\u0442\u0440\u0430\u0446\u0438\u044f \u0444\u043e\u0440\u043c\u0443\u043b\u044b \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u0430<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0427\u0442\u043e\u0431\u044b \u0437\u0430\u043a\u043e\u043d\u0447\u0438\u0442\u044c \u043f\u043e\u043d\u0438\u043c\u0430\u043d\u0438\u0435 \u043f\u043e\u043d\u044f\u0442\u0438\u044f \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u0430 \u0432 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0435, \u0432\u044b\u0432\u0435\u0434\u0435\u043c \u0444\u043e\u0440\u043c\u0443\u043b\u0443, \u043a\u043e\u0442\u043e\u0440\u0443\u044e \u043c\u044b \u0442\u043e\u043b\u044c\u043a\u043e \u0447\u0442\u043e \u0438\u0437\u0443\u0447\u0438\u043b\u0438.<\/p>\n<p> \u0418\u0437 \u043b\u044e\u0431\u043e\u0433\u043e \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u0430, \u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u043d\u043e\u0433\u043e \u0432 2:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-379affdd0954c4ca08ed08041e0eb7b4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b+c)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"88\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0410\u043b\u0433\u0435\u0431\u0440\u0430\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435, \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u043d\u043e\u0435 \u0432\u044b\u0448\u0435, \u044d\u043a\u0432\u0438\u0432\u0430\u043b\u0435\u043d\u0442\u043d\u043e \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u044e \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u0430 \u0432 \u0441\u043a\u043e\u0431\u043a\u0430\u0445 \u043d\u0430 \u0441\u0430\u043c\u043e\u0433\u043e \u0441\u0435\u0431\u044f:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d8944601270bfee61c23bb9440e7fd79_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b+c)^2 = (a+b+c)(a+b+c)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"275\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0422\u0435\u043f\u0435\u0440\u044c \u043f\u0435\u0440\u0435\u043c\u043d\u043e\u0436\u0438\u043c \u0434\u0432\u0430 \u0442\u0440\u0451\u0445\u0447\u043b\u0435\u043d\u0430:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ceaddc98a341af8c426098e15affbe7a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b+c)(a+b+c)= a^2+ab+ac+ba+b^2+bc+ca+cb+c^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"505\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u043c\u044b \u0433\u0440\u0443\u043f\u043f\u0438\u0440\u0443\u0435\u043c \u043f\u043e\u0445\u043e\u0436\u0438\u0435 \u0442\u0435\u0440\u043c\u0438\u043d\u044b:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-79d99fd9567501331249064ee77e6db1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^2+ab+ac+ba+b^2+bc+ca+cb+c^2 = a^2+b^2+c^2+2ab+2ac+2bc\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"576\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p> \u0418 \u0442\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c \u043c\u044b \u0443\u0436\u0435 \u043f\u0440\u0438\u0448\u043b\u0438 \u043a \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044e \u0444\u043e\u0440\u043c\u0443\u043b\u044b, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043f\u0440\u043e\u0434\u0435\u043c\u043e\u043d\u0441\u0442\u0440\u0438\u0440\u043e\u0432\u0430\u043d\u0430 \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u0430:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a9597e2a9cf6403902d36e5ca6411045_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b+c)^2=a^2+b^2+c^2+2ab+2ac+2bc\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"345\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u041d\u0430 \u043d\u0430\u0448\u0435\u043c \u0441\u0430\u0439\u0442\u0435 \u0435\u0441\u0442\u044c \u0435\u0449\u0435 \u0431\u043e\u043b\u044c\u0448\u0435 \u0434\u0435\u043c\u043e\u043d\u0441\u0442\u0440\u0430\u0446\u0438\u0439 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0445 \u043b\u0438\u0447\u043d\u043e\u0441\u0442\u0435\u0439. \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u0434\u0435\u043c\u043e\u043d\u0441\u0442\u0440\u0430\u0446\u0438\u044e \u0444\u043e\u0440\u043c\u0443\u043b\u044b <strong><span style=\"text-decoration: underline;\"> \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0441\u0443\u043c\u043c\u044b <\/span><\/strong> \u0438 <strong><span style=\"text-decoration: underline;\"> \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438 <\/span><\/strong> . \u0411\u043e\u043b\u0435\u0435 \u0442\u043e\u0433\u043e, \u0432 \u044d\u0442\u0438\u0445 \u0441\u0441\u044b\u043b\u043a\u0430\u0445 \u0432\u044b \u0443\u0432\u0438\u0434\u0438\u0442\u0435 \u043d\u0435 \u0442\u043e\u043b\u044c\u043a\u043e \u0438\u0445 \u0434\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044c\u0441\u0442\u0432\u0430, \u043d\u043e \u0438 \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0443\u044e \u0438\u043d\u0442\u0435\u0440\u043f\u0440\u0435\u0442\u0430\u0446\u0438\u044e \u0438\u0445 \u0444\u043e\u0440\u043c\u0443\u043b, \u0442\u043e \u0435\u0441\u0442\u044c \u0442\u043e, \u0447\u0442\u043e \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438 \u043e\u0437\u043d\u0430\u0447\u0430\u044e\u0442 \u044d\u0442\u0438 \u0432\u0438\u0434\u044b \u0437\u0430\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejercicios-resueltos-de-trinomios-al-cuadrado\"><\/span> \u0420\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u0437\u0430\u0434\u0430\u0447\u0438 \u043e \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430\u0445 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u043e\u0432<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0420\u0435\u0448\u0438\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u044b\u0435 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u044b: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b1e2db1dacfd70bcdf33589968427633_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\left(x^2+x+5\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"132\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6eddfbe2255cd7f5b8d829ff6aef4e38_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\left(x^2+3x-4\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"141\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-577a572f8974257e1d6d7b8411f75f4e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\left(4x^2-6x+3\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"150\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4a26869f17cf7889324d3d5e6755b800_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ \\left(x^3-3x^2-9x\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"159\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u0414\u043b\u044f \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0432\u0441\u0435\u0445 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0439 \u043d\u0430\u043c \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0432\u043e\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c\u0441\u044f \u0444\u043e\u0440\u043c\u0443\u043b\u043e\u0439 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u0430, \u043a\u043e\u0442\u043e\u0440\u0430\u044f \u0438\u043c\u0435\u0435\u0442 \u0432\u0438\u0434: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a9597e2a9cf6403902d36e5ca6411045_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b+c)^2=a^2+b^2+c^2+2ab+2ac+2bc\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"345\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-749dc45e7a00d7122d62b774706bdcc0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\begin{array}{l} \\left(x^2+x+5\\right)^2 = \\\\[2ex] = \\left(x^2\\right)^2+x^2+5^2+2\\cdot x^2 \\cdot x + 2 \\cdot x^2 \\cdot 5 +2 \\cdot x \\cdot 5 = \\\\[2ex] = x^4+x^2+25+2x^3 + 10x^2 +10x = \\\\[2ex] = \\bm{x^4+2x^3+11x^2+10x+25} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"136\" width=\"438\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b1f51f18b3c1118b6e8e3acc3441b0ec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\begin{array}{l}\\left(x^2+3x-4\\right)^2 = \\\\[2ex] = \\left(x^2\\right)^2+(3x)^2+(-4)^2+2\\cdot x^2 \\cdot 3x + 2 \\cdot x^2 \\cdot (-4) +2 \\cdot 3x \\cdot (-4) = \\\\[2ex] = x^4+9x^2+16+6x^3-8x^2-24x = \\\\[2ex] = \\bm{x^4+6x^3+x^2-24x+16} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"136\" width=\"557\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-49c6496bf684296d315fc96d9cb5857e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\begin{array}{l}\\left(4x^2-6x+3\\right)^2 = \\\\[2ex] = \\left(4x^2\\right)^2+(-6x)^2+3^2+2\\cdot 4x^2 \\cdot (-6x) + 2 \\cdot 4x^2 \\cdot 3 +2 \\cdot (-6x) \\cdot 3 = \\\\[2ex] = 16x^4+36x^2+9-48x^3+24x^2-36x = \\\\[2ex] = \\bm{16x^4-48x^3+60x^2-36x+9} \\end{array}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"136\" width=\"570\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7cd08035d8402c27c411bcf5b30216cb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ \\begin{array}{l}  \\left(x^3-3x^2-9x\\right)^2 = \\\\[2ex] = \\left(x^3\\right)^2+\\left(-3x^2\\right)^2+(-9x)^2+2\\cdot x^3 \\cdot (-3x^2) + 2 \\cdot x^3 \\cdot (-9x) +2 \\cdot (-3x^2) \\cdot (-9x) = \\\\[2ex] = x^6+9x^4+81x^2-6x^5-18x^4+54x^3 = \\\\[2ex] = \\bm{x^6-6x^5-9x^4+54x^3+81x^2} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"136\" width=\"682\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<div id=\"ezoic-pub-ad-placeholder-176\" data-inserter-version=\"-1\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u041d\u0430 \u044d\u0442\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u043c\u044b \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u043c, \u043a\u0430\u043a \u0440\u0435\u0448\u0438\u0442\u044c \u043a\u0432\u0430\u0434\u0440\u0430\u0442 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u0430 (\u0444\u043e\u0440\u043c\u0443\u043b\u0430). \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u044b \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u043f\u0440\u0438\u043c\u0435\u0440\u043e\u0432 \u0438 \u043f\u043e\u043f\u0440\u0430\u043a\u0442\u0438\u043a\u043e\u0432\u0430\u0442\u044c\u0441\u044f \u0432 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f\u0445, \u0440\u0435\u0448\u0430\u0435\u043c\u044b\u0445 \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u043e\u0432 \u0432 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0435. \u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u0430 \u041b\u043e\u0433\u0438\u0447\u0435\u0441\u043a\u0438, \u0447\u0442\u043e\u0431\u044b \u043f\u043e\u043d\u044f\u0442\u044c \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u0430, \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u043d\u0443\u0436\u043d\u043e \u0437\u043d\u0430\u0442\u044c, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d . \u042f \u043e\u0441\u0442\u0430\u0432\u043b\u044f\u044e \u0432\u0430\u043c \u044d\u0442\u0443 \u0441\u0441\u044b\u043b\u043a\u0443 \u043d\u0430 \u0441\u043b\u0443\u0447\u0430\u0439, \u0435\u0441\u043b\u0438 \u0432\u044b \u0437\u0430\u0445\u043e\u0442\u0438\u0442\u0435 \u043f\u0440\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ru\/%d1%82%d1%80%d0%b5%d1%85%d1%87%d0%bb%d0%b5%d0%bd-%d0%b2-%d0%ba%d0%b2%d0%b0%d0%b4%d1%80%d0%b0%d1%82%d0%b5\/\"> <span class=\"screen-reader-text\">\u0422\u0440\u0435\u0445\u0447\u043b\u0435\u043d \u0432 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0435<\/span> \u0427\u0438\u0442\u0430\u0442\u044c \u0434\u0430\u043b\u0435\u0435 &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[10],"tags":[],"class_list":["post-347","post","type-post","status-publish","format-standard","hentry","category-10"],"yoast_head":"<!-- This site is optimized 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\u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u044b \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u043f\u0440\u0438\u043c\u0435\u0440\u043e\u0432 \u0438 \u043f\u043e\u043f\u0440\u0430\u043a\u0442\u0438\u043a\u043e\u0432\u0430\u0442\u044c\u0441\u044f \u0432 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f\u0445, \u0440\u0435\u0448\u0430\u0435\u043c\u044b\u0445 \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u043e\u0432 \u0432 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0435. \u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u0430 \u041b\u043e\u0433\u0438\u0447\u0435\u0441\u043a\u0438, \u0447\u0442\u043e\u0431\u044b \u043f\u043e\u043d\u044f\u0442\u044c \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u0430, \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u043d\u0443\u0436\u043d\u043e \u0437\u043d\u0430\u0442\u044c, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d . \u042f \u043e\u0441\u0442\u0430\u0432\u043b\u044f\u044e \u0432\u0430\u043c \u044d\u0442\u0443 \u0441\u0441\u044b\u043b\u043a\u0443 \u043d\u0430 \u0441\u043b\u0443\u0447\u0430\u0439, \u0435\u0441\u043b\u0438 \u0432\u044b \u0437\u0430\u0445\u043e\u0442\u0438\u0442\u0435 \u043f\u0440\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c &hellip; \u0422\u0440\u0435\u0445\u0447\u043b\u0435\u043d \u0432 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0435 \u0427\u0438\u0442\u0430\u0442\u044c \u0434\u0430\u043b\u0435\u0435 &raquo;","og_url":"https:\/\/mathority.org\/ru\/\u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d-\u0432-\u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0435\/","article_published_time":"2023-07-06T02:26:23+00:00","og_image":[{"url":"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/carre-dun-trinome.png"}],"author":"Mathority \u041a\u043e\u043c\u0430\u043d\u0434\u0430","twitter_card":"summary_large_image","twitter_misc":{"\u041d\u0430\u043f\u0438\u0441\u0430\u043d\u043e \u0430\u0432\u0442\u043e\u0440\u043e\u043c":"Mathority \u041a\u043e\u043c\u0430\u043d\u0434\u0430"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/mathority.org\/ru\/%d1%82%d1%80%d0%b5%d1%85%d1%87%d0%bb%d0%b5%d0%bd-%d0%b2-%d0%ba%d0%b2%d0%b0%d0%b4%d1%80%d0%b0%d1%82%d0%b5\/#article","isPartOf":{"@id":"https:\/\/mathority.org\/ru\/%d1%82%d1%80%d0%b5%d1%85%d1%87%d0%bb%d0%b5%d0%bd-%d0%b2-%d0%ba%d0%b2%d0%b0%d0%b4%d1%80%d0%b0%d1%82%d0%b5\/"},"author":{"name":"Mathority 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