{"id":68,"date":"2023-09-17T07:19:50","date_gmt":"2023-09-17T07:19:50","guid":{"rendered":"https:\/\/mathority.org\/ru\/%d0%b8%d0%b4%d0%b5%d0%b0%d0%bb%d1%8c%d0%bd%d1%8b%d0%b8-%d0%ba%d0%b2%d0%b0%d0%b4%d1%80%d0%b0%d1%82%d0%bd%d1%8b%d0%b8-%d1%82%d1%80%d0%b5%d1%85%d1%87%d0%bb%d0%b5%d0%bd\/"},"modified":"2023-09-17T07:19:50","modified_gmt":"2023-09-17T07:19:50","slug":"%d0%b8%d0%b4%d0%b5%d0%b0%d0%bb%d1%8c%d0%bd%d1%8b%d0%b8-%d0%ba%d0%b2%d0%b0%d0%b4%d1%80%d0%b0%d1%82%d0%bd%d1%8b%d0%b8-%d1%82%d1%80%d0%b5%d1%85%d1%87%d0%bb%d0%b5%d0%bd","status":"publish","type":"post","link":"https:\/\/mathority.org\/ru\/%d0%b8%d0%b4%d0%b5%d0%b0%d0%bb%d1%8c%d0%bd%d1%8b%d0%b8-%d0%ba%d0%b2%d0%b0%d0%b4%d1%80%d0%b0%d1%82%d0%bd%d1%8b%d0%b8-%d1%82%d1%80%d0%b5%d1%85%d1%87%d0%bb%d0%b5%d0%bd\/","title":{"rendered":"\u0421\u043e\u0432\u0435\u0440\u0448\u0435\u043d\u043d\u044b\u0439 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u044b\u0439 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d"},"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\u0438\u043c, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0438\u0434\u0435\u0430\u043b\u044c\u043d\u044b\u0439 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u044b\u0439 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d \u0438 \u043a\u0430\u043a \u043e\u043d \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u044b\u0432\u0430\u0435\u0442\u0441\u044f. \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 \u0441 \u043f\u043e\u0448\u0430\u0433\u043e\u0432\u044b\u043c\u0438 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f\u043c\u0438 \u0434\u043b\u044f \u0438\u0434\u0435\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u043e\u0433\u043e \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u0430. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-un-trinomio-cuadrado-perfecto\"><\/span> \u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0438\u0434\u0435\u0430\u043b\u044c\u043d\u044b\u0439 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u044b\u0439 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u041e\u0447\u0435\u0432\u0438\u0434\u043d\u043e, \u0447\u0442\u043e \u043f\u0440\u0435\u0436\u0434\u0435 \u0447\u0435\u043c \u043f\u043e\u043d\u044f\u0442\u044c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0438\u0434\u0435\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u043e\u0433\u043e \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u0430, \u0432\u0430\u043c \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\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\u044b<\/span><\/strong>  , \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u044f \u0440\u0435\u043a\u043e\u043c\u0435\u043d\u0434\u0443\u044e \u0432\u0437\u0433\u043b\u044f\u043d\u0443\u0442\u044c \u043d\u0430 \u044d\u0442\u0443 \u0441\u0432\u044f\u0437\u0430\u043d\u043d\u0443\u044e \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0443 (\u0433\u0434\u0435 \u044d\u0442\u043e \u043f\u043e\u0434\u0440\u043e\u0431\u043d\u043e \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u043e), \u043f\u0440\u0435\u0436\u0434\u0435 \u0447\u0435\u043c \u043f\u0440\u043e\u0434\u043e\u043b\u0436\u0438\u0442\u044c.<\/p>\n<p> \u0418\u0442\u0430\u043a, \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u0438\u0434\u0435\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u043e\u0433\u043e \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u0430 \u0432\u044b\u0433\u043b\u044f\u0434\u0438\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c:<\/p>\n<p> \u0412 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0435 <strong>\u0438\u0434\u0435\u0430\u043b\u044c\u043d\u044b\u0439 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u044b\u0439 \u0442\u0440\u0451\u0445\u0447\u043b\u0435\u043d<\/strong> , \u0442\u0430\u043a\u0436\u0435 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0439 \u043a\u0430\u043a <strong>TCP<\/strong> , \u2014 \u044d\u0442\u043e \u0442\u0440\u0451\u0445\u0447\u043b\u0435\u043d, \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u044b\u0439 \u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435\u043c \u0432 \u043a\u0432\u0430\u0434\u0440\u0430\u0442 \u0431\u0438\u043d\u043e\u043c\u0430.<\/p>\n<p> \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0438\u0434\u0435\u0430\u043b\u044c\u043d\u044b\u0439 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u044b\u0439 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d \u0441\u043e\u0441\u0442\u043e\u0438\u0442 \u0438\u0437 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u0441 \u0434\u0432\u0443\u043c\u044f \u0442\u043e\u0447\u043d\u044b\u043c\u0438 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430\u043c\u0438 \u0438 \u0435\u0449\u0435 \u043e\u0434\u043d\u0438\u043c \u0447\u043b\u0435\u043d\u043e\u043c, \u043a\u043e\u0442\u043e\u0440\u044b\u0439 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0441\u043e\u0431\u043e\u0439 \u0434\u0432\u043e\u0439\u043d\u043e\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u043e\u0441\u043d\u043e\u0432\u0430\u043d\u0438\u0439 \u044d\u0442\u0438\u0445 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043e\u0432. <\/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\/trinome-carre-parfait.png\" alt=\"\u0438\u0434\u0435\u0430\u043b\u044c\u043d\u044b\u0439 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u044b\u0439 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\" class=\"wp-image-2553\" width=\"299\" height=\"300\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u041a\u0430\u043a \u0432\u0438\u0434\u043d\u043e \u0438\u0437 \u0434\u0432\u0443\u0445 \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u043d\u044b\u0445 \u0432\u044b\u0448\u0435 \u0444\u043e\u0440\u043c\u0443\u043b, \u0438\u0434\u0435\u0430\u043b\u044c\u043d\u044b\u0439 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u044b\u0439 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d \u043f\u043e\u043b\u0443\u0447\u0430\u0435\u0442\u0441\u044f \u0438\u0437 \u0434\u0432\u0443\u0445 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0445 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432 (\u0438\u043b\u0438 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0445 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0439), \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043e\u043d \u0442\u0430\u043a \u0432\u0430\u0436\u0435\u043d. \u0412 \u0447\u0430\u0441\u0442\u043d\u043e\u0441\u0442\u0438, \u0438\u0434\u0435\u0430\u043b\u044c\u043d\u044b\u0439 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u044b\u0439 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d \u043d\u0430\u0445\u043e\u0434\u0438\u0442\u0441\u044f \u043f\u0440\u0438 \u0440\u0435\u0448\u0435\u043d\u0438\u0438 <strong><span style=\"text-decoration: underline;\">\u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u044f<\/span><\/strong>  \u0438\u043b\u0438  <strong><span style=\"text-decoration: underline;\">\u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u044f<\/span><\/strong>  . <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplos-de-trinomio-cuadrado-perfecto\"><\/span> \u041f\u0440\u0438\u043c\u0435\u0440\u044b \u0438\u0434\u0435\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u043e\u0433\u043e \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\u0432\u0435\u0440\u0448\u0438\u0442\u044c \u043f\u043e\u043d\u0438\u043c\u0430\u043d\u0438\u0435 \u043a\u043e\u043d\u0446\u0435\u043f\u0446\u0438\u0438 \u0438\u0434\u0435\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u043e\u0433\u043e \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u0430, \u043c\u044b \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c \u043e\u0431\u044a\u044f\u0441\u043d\u0438\u043c \u0434\u0432\u0430 \u043f\u0440\u0438\u043c\u0435\u0440\u0430:<\/p>\n<h3 class=\"wp-block-heading\"> \u041f\u0440\u0438\u043c\u0435\u0440 1<\/h3>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7b1e801a4cc4d2bf8c8691b286cba38a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+6x+9\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"89\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p> \u042d\u0442\u043e\u0442 \u043f\u0440\u0438\u043c\u0435\u0440 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0441\u043e\u0431\u043e\u0439 \u0438\u0434\u0435\u0430\u043b\u044c\u043d\u044b\u0439 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u044b\u0439 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0432 \u0435\u0433\u043e \u0430\u043b\u0433\u0435\u0431\u0440\u0430\u0438\u0447\u0435\u0441\u043a\u043e\u043c \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0438 \u0438\u043c\u0435\u044e\u0442\u0441\u044f \u0434\u0432\u0430 \u0441\u043e\u0432\u0435\u0440\u0448\u0435\u043d\u043d\u044b\u0445 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 (\u0442. \u0435. \u043e\u043d\u0438 \u0438\u043c\u0435\u044e\u0442 \u0442\u043e\u0447\u043d\u044b\u0439 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u044b\u0439 \u043a\u043e\u0440\u0435\u043d\u044c), \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\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-76e092d71026e8d64e9e3fc6857554cc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"17\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0438 9 \u044d\u043a\u0432\u0438\u0432\u0430\u043b\u0435\u043d\u0442\u043d\u044b<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0438 3, \u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u043d\u044b\u0435 \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0435\u043d\u043d\u043e \u0432 \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u0434\u0432\u043e\u0439\u043a\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-8bf33d0bd55e20552fca7aa83cfb2aff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x)^2 = x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"71\" 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-0b43202294911c3ca13c5b689e92bbcc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(3)^2 = 9\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"62\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0418 \u0435\u0449\u0435, \u043f\u043e\u0441\u043b\u0435\u0434\u043d\u0438\u0439 \u043e\u0441\u0442\u0430\u0432\u0448\u0438\u0439\u0441\u044f \u0447\u043b\u0435\u043d \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-7c74faf95634edd5ba7ba54895c9aea3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(6x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"31\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0415\u0433\u043e \u043f\u043e\u043b\u0443\u0447\u0430\u044e\u0442 \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0435\u043c \u043e\u0441\u043d\u043e\u0432\u0430\u043d\u0438\u0439 \u0434\u0432\u0443\u0445 \u043f\u0440\u0435\u0434\u044b\u0434\u0443\u0449\u0438\u0445 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043e\u0432 \u0432\u043c\u0435\u0441\u0442\u0435 \u0438 \u043d\u0430 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-96afb151877bff6626333e94ae128d28_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2\\cdot x \\cdot 3 = 6x\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"96\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0432\u0441\u044f \u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u0430\u044f \u0438\u0434\u0435\u043d\u0442\u0438\u0447\u043d\u043e\u0441\u0442\u044c \u0432 \u044d\u0442\u043e\u043c \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0438 \u0431\u0443\u0434\u0435\u0442 \u0442\u0430\u043a\u043e\u0439:<\/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-4d0bc4a13d074a1a857517e78a61177d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x+3)^2 =x^2+6x+9\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"174\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"> \u041f\u0440\u0438\u043c\u0435\u0440 2<\/h3>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6211ea82c428a6fd5c1086f8cc698e7c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"16x^2-40x+25\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"123\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p> \u042d\u0442\u043e\u0442 \u0434\u0440\u0443\u0433\u043e\u0439 \u043f\u0440\u0438\u043c\u0435\u0440 \u0442\u0430\u043a\u0436\u0435 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0438\u0434\u0435\u0430\u043b\u044c\u043d\u044b\u043c \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u044b\u043c \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u043e\u043c, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0441\u043e\u0431\u043b\u044e\u0434\u0435\u043d\u044b 3 \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u044b\u0445 \u0443\u0441\u043b\u043e\u0432\u0438\u044f: \u0434\u0432\u0430 \u0447\u043b\u0435\u043d\u0430 \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0442 \u0434\u0432\u0443\u043c \u0438\u0434\u0435\u0430\u043b\u044c\u043d\u044b\u043c \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430\u043c, \u0430 \u0434\u0440\u0443\u0433\u043e\u0439 \u0447\u043b\u0435\u043d \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u043e\u043c \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u044f \u043e\u0441\u043d\u043e\u0432\u0430\u043d\u0438\u0439 \u044d\u0442\u0438\u0445 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043e\u0432 \u0434\u0440\u0443\u0433 \u043d\u0430 \u0434\u0440\u0443\u0433\u0430 \u0438 \u043d\u0430 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-f90e6e2af62292eed9f4abcff9b82065_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(4x)^2 = 16x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"98\" 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-1818354159095d6f8aec5f0d296d75ab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(5)^2 = 25\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"70\" 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-c22c56e139fa671e2b3afa466e878ac3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2\\cdot 4x \\cdot 5 =40x\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"114\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0412 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u0438\u0434\u0435\u0430\u043b\u044c\u043d\u044b\u0439 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u044b\u0439 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d \u0438\u043c\u0435\u0435\u0442 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u043c\u043e\u043d\u043e\u043c, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043e\u043d \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0440\u0430\u0437\u0432\u0438\u0442\u0438\u044e \u0437\u0430\u043c\u0435\u0442\u043d\u043e\u0433\u043e \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u0430 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\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-d269d77a8917ed4e62d32585cccdaf67_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(4x-5)^2 = 16x^2-40x+25\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"217\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Como-factorizar-un-trinomio-cuadrado-perfecto\"><\/span> \u041a\u0430\u043a \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u043e\u0432\u0430\u0442\u044c \u0438\u0434\u0435\u0430\u043b\u044c\u043d\u044b\u0439 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u044b\u0439 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0412 \u0430\u043b\u0433\u0435\u0431\u0440\u0435 \u043e\u0447\u0435\u043d\u044c \u0440\u0430\u0441\u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0435\u043d\u043d\u043e\u0439 \u043f\u0440\u043e\u0431\u043b\u0435\u043c\u043e\u0439 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u044f \u0441\u043e\u0432\u0435\u0440\u0448\u0435\u043d\u043d\u043e\u0433\u043e \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u043e\u0433\u043e \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u0430 (PCT). \u0415\u0441\u043b\u0438 \u0432\u044b \u043d\u0435 \u0437\u043d\u0430\u0435\u0442\u0435, \u0447\u0442\u043e \u044d\u0442\u043e \u0437\u043d\u0430\u0447\u0438\u0442, \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u044f \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442 \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u0435 \u0435\u0433\u043e \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044f \u0432 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u043c\u043d\u043e\u0436\u0438\u0442\u0435\u043b\u0435\u0439.<\/p>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0447\u0442\u043e\u0431\u044b \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u043e\u0432\u0430\u0442\u044c \u044d\u0442\u043e\u0442 \u0442\u0438\u043f \u0430\u043b\u0433\u0435\u0431\u0440\u0430\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u0430, \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0441\u043e\u0431\u043b\u044e\u0434\u0430\u0442\u044c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u043f\u0440\u0430\u0432\u0438\u043b\u0430:<\/p>\n<ol style=\"color:#ff5733; font-weight: bold;\">\n<li style=\"margin-bottom:10px\"> <span style=\"color:#000000;font-weight: normal;\">\u0422\u0440\u0435\u0445\u0447\u043b\u0435\u043d \u0434\u043e\u043b\u0436\u0435\u043d \u0438\u043c\u0435\u0442\u044c \u0434\u0432\u0430 \u043f\u043e\u043b\u043d\u044b\u0445 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u043c\u044b \u0431\u0443\u0434\u0435\u043c \u043d\u0430\u0437\u044b\u0432\u0430\u0442\u044c\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-062e6b90a0da4787460d4a5d0845624c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"16\" style=\"vertical-align: 0px;\"><\/p>\n<p><\/span> \u0418<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c3a795dbae63ac6ae2905fa73468f6dc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b^2.\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"19\" style=\"vertical-align: 0px;\"><\/p>\n<\/li>\n<li style=\"margin-bottom:10px\"> <span style=\"color:#000000;font-weight: normal;\">\u0422\u0440\u0435\u0442\u0438\u0439 \u043e\u0441\u0442\u0430\u0432\u0448\u0438\u0439\u0441\u044f \u0447\u043b\u0435\u043d \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u0430 \u0434\u043e\u043b\u0436\u0435\u043d \u0431\u044b\u0442\u044c \u0440\u0430\u0432\u0435\u043d \u0434\u0432\u043e\u0439\u043d\u043e\u043c\u0443 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044e \u043e\u0441\u043d\u043e\u0432\u0430\u043d\u0438\u0439 \u0434\u0432\u0443\u0445 \u043f\u043e\u043b\u043d\u044b\u0445 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043e\u0432, \u0447\u0442\u043e \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0438 \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044e\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f954fff3b2e11e573917f813e2072c36_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2\\cdot a \\cdot b.\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"56\" style=\"vertical-align: 0px;\"><\/p>\n<p><\/span><\/li>\n<li> <span style=\"color:#000000;font-weight: normal;\">\u0424\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u043e\u0432\u0430\u043d\u043d\u044b\u0439 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d \u0431\u0443\u0434\u0435\u0442\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ef98ef741811c17cd99e75e5f848ea69_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"59\" style=\"vertical-align: -5px;\"><\/p>\n<p><\/span> \u0435\u0441\u043b\u0438 \u0432\u0441\u0435 \u0447\u043b\u0435\u043d\u044b \u0438\u0434\u0435\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u043e\u0433\u043e \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u0430 \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u044b, \u0432 \u043f\u0440\u043e\u0442\u0438\u0432\u043d\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435, \u0435\u0441\u043b\u0438 \u0434\u0432\u043e\u0439\u043d\u043e\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u043e\u0441\u043d\u043e\u0432\u0430\u043d\u0438\u0439 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043e\u0432 \u0438\u043c\u0435\u0435\u0442 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0437\u043d\u0430\u043a, \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u043e\u0432\u0430\u043d\u043d\u044b\u0439 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d \u0431\u0443\u0434\u0435\u0442 \u0440\u0430\u0432\u0435\u043d<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9a0944763685ffb33e248d09356088f1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a-b)^2.\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"63\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<\/ol>\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\u0440\u043e\u0446\u0435\u0434\u0443\u0440\u044b, \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c \u0440\u0435\u0448\u0438\u043c \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435:<\/p>\n<ul>\n<li> \u0420\u0430\u0437\u043b\u043e\u0436\u0438\u0442\u0435 \u043d\u0430 \u043c\u043d\u043e\u0436\u0438\u0442\u0435\u043b\u0438 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0439 \u0438\u0434\u0435\u0430\u043b\u044c\u043d\u044b\u0439 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u044b\u0439 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d:<\/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-7e8d50aa915906e1db203351b7980485_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2-12x+36\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"107\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p> \u041f\u0435\u0440\u0432\u043e\u0435, \u0447\u0442\u043e \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0441\u0434\u0435\u043b\u0430\u0442\u044c, \u044d\u0442\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c, \u0435\u0441\u0442\u044c \u043b\u0438 \u0432 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u0435 \u0434\u0432\u0430 \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u0430, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u0442\u043e\u0447\u043d\u044b\u043c\u0438 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430\u043c\u0438, \u0438\u043b\u0438, \u0434\u0440\u0443\u0433\u0438\u043c\u0438 \u0441\u043b\u043e\u0432\u0430\u043c\u0438, \u043d\u0435 \u0434\u0430\u0435\u0442 \u043b\u0438 \u0435\u0433\u043e \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u044b\u0439 \u043a\u043e\u0440\u0435\u043d\u044c \u0434\u0435\u0441\u044f\u0442\u0438\u0447\u043d\u043e\u0435 \u0447\u0438\u0441\u043b\u043e. \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-76e092d71026e8d64e9e3fc6857554cc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"17\" style=\"vertical-align: 0px;\"><\/p>\n<p> &#8212; \u043a\u0432\u0430\u0434\u0440\u0430\u0442 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0430 36 \u2014 \u044d\u0442\u043e \u043a\u0432\u0430\u0434\u0440\u0430\u0442 6:<\/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-3f4b410d5d5d88f8baad849771198e12_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sqrt{x^2} = x\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"65\" style=\"vertical-align: -1px;\"><\/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-608b0e90846f8362a70324654d4db63c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sqrt{36} = 6\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"64\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d \u0438\u043c\u0435\u0435\u0442 \u0434\u0432\u0430 \u043f\u043e\u043b\u043d\u044b\u0445 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430.<\/p>\n<p> \u0412\u043e-\u0432\u0442\u043e\u0440\u044b\u0445, \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u043f\u0440\u043e\u0432\u0435\u0440\u0438\u0442\u044c, \u044d\u043a\u0432\u0438\u0432\u0430\u043b\u0435\u043d\u0442\u0435\u043d \u043b\u0438 \u043f\u0440\u043e\u043c\u0435\u0436\u0443\u0442\u043e\u0447\u043d\u044b\u0439 \u0447\u043b\u0435\u043d \u0434\u0432\u043e\u0439\u043d\u043e\u043c\u0443 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044e \u0434\u0432\u0443\u0445 \u043a\u043e\u0440\u043d\u0435\u0439, \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u043d\u043e\u043c\u0443 \u043d\u0430 \u043f\u0440\u0435\u0434\u044b\u0434\u0443\u0449\u0435\u043c \u0448\u0430\u0433\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-71d97c4b717e330721cd1cf0682b8c97_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2 \\cdot x \\cdot 6 = 12x\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"105\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u042d\u0442\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u0442\u0430\u043a\u0436\u0435 \u0441\u043e\u0431\u043b\u044e\u0434\u0430\u0435\u0442\u0441\u044f.<\/p>\n<p> \u0422\u043e\u0433\u0434\u0430 \u0432\u0441\u0435 \u0443\u0441\u043b\u043e\u0432\u0438\u044f \u0441\u043e\u0431\u043b\u044e\u0434\u0435\u043d\u044b. \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u043e\u0432\u0430\u043d\u043d\u044b\u0439 \u0441\u043e\u0432\u0435\u0440\u0448\u0435\u043d\u043d\u043e \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u044b\u0439 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d \u2014 \u044d\u0442\u043e \u0431\u0438\u043d\u043e\u043c, \u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u043d\u044b\u0439 \u0434\u0432\u0443\u043c\u044f \u043d\u0430\u0439\u0434\u0435\u043d\u043d\u044b\u043c\u0438 \u043a\u043e\u0440\u043d\u044f\u043c\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-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0438 \u0447\u0438\u0441\u043b\u043e 6) \u0432 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\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-dc977b1e7c6ea74eb9ea936a143726ce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2-12x+36=(x-6)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"192\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0422\u0430\u043a \u043a\u0430\u043a \u043f\u0440\u043e\u043c\u0435\u0436\u0443\u0442\u043e\u0447\u043d\u044b\u0439 \u0447\u043b\u0435\u043d \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0439, \u0442\u043e \u0432 \u0441\u043a\u043e\u0431\u043a\u0430\u0445 \u0442\u043e\u0436\u0435 \u043d\u0430\u0434\u043e \u043f\u043e\u0441\u0442\u0430\u0432\u0438\u0442\u044c \u0437\u043d\u0430\u043a \u043c\u0438\u043d\u0443\u0441. \u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u0435\u0441\u043b\u0438 \u0431\u044b \u043e\u043d\u043e \u0431\u044b\u043b\u043e \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u043c, \u043d\u0430\u043c \u043f\u0440\u0438\u0448\u043b\u043e\u0441\u044c \u0431\u044b \u0434\u043e\u0431\u0430\u0432\u0438\u0442\u044c \u0441\u0443\u043c\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-1f434b54a39dd1e4a96ca539157b6940_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+12x+36=(x+6)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"192\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0421 \u043b\u043e\u0433\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u0442\u043e\u0447\u043a\u0438 \u0437\u0440\u0435\u043d\u0438\u044f \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u044f \u2014 \u044d\u0442\u043e \u0441\u043b\u043e\u0436\u043d\u0430\u044f \u043f\u0440\u043e\u0446\u0435\u0434\u0443\u0440\u0430, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0432 \u0434\u043e\u043f\u043e\u043b\u043d\u0435\u043d\u0438\u0435 \u043a \u043f\u043e\u043f\u044b\u0442\u043a\u0430\u043c \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u043d\u043e\u0435 \u043d\u0438\u0436\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 \u044f \u0440\u0435\u043a\u043e\u043c\u0435\u043d\u0434\u0443\u044e \u0432\u0437\u0433\u043b\u044f\u043d\u0443\u0442\u044c \u043d\u0430 \u044d\u0442\u0438  <strong><span style=\"text-decoration: underline;\">\u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u0438 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432<\/span><\/strong>  . \u041f\u043e \u044d\u0442\u043e\u0439 \u0441\u0441\u044b\u043b\u043a\u0435 \u043c\u044b \u0442\u0430\u043a\u0436\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u043c \u043c\u0435\u0442\u043e\u0434, \u043a\u043e\u0442\u043e\u0440\u044b\u0439 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f \u043d\u0435 \u0442\u043e\u043b\u044c\u043a\u043e \u0434\u043b\u044f \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u0438 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u043e\u0432, \u043d\u043e \u0438 \u0434\u043b\u044f \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432 \u043b\u044e\u0431\u043e\u0433\u043e \u0442\u0438\u043f\u0430, \u0438 \u0442\u0430\u043a \u0436\u0435 \u0431\u044b\u0441\u0442\u0440\u043e. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejercicios-resueltos-del-trinomio-cuadrado-perfecto\"><\/span> \u0420\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u0438\u0434\u0435\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u043e\u0433\u043e \u0442\u0440\u0451\u0445\u0447\u043b\u0435\u043d\u0430<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u041f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u0443\u0439\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u044b \u0432 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u044b\u0435 \u0431\u0438\u043d\u043e\u043c\u044b, \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u0432 \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0449\u0443\u044e \u0444\u043e\u0440\u043c\u0443\u043b\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-24da9e6b626358d86573fa594e257d56_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ x^2+8x+16\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"124\" 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-3ba70765846ab6cc6ae2a92f48e80f42_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ x^2-14x+49\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"132\" 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-2998c54e820c876cf4f68b9d0da3452f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ x^4-20x^2+100\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"149\" 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-cc94c15e3ac37d4317034b868e2417b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ 81x^2+90x+25\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"150\" 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-2a86aad0e5cf04dc75cb5d72f58b7e66_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{E)} \\ 64x^4-176x+121\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"166\" style=\"vertical-align: -5px;\"><\/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>\u041f\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\"> \u0427\u0442\u043e\u0431\u044b \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u0442\u044c \u0438\u0434\u0435\u0430\u043b\u044c\u043d\u044b\u0439 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u044b\u0439 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d \u0432 \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u043e\u0433\u043e \u0431\u0438\u043d\u043e\u043c\u0430, \u0432\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0444\u043e\u0440\u043c\u0443\u043b\u044b \u0434\u043b\u044f \u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0441\u0443\u043c\u043c\u044b \u0438 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438, \u0430 \u0438\u043c\u0435\u043d\u043d\u043e: <\/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-e10c023cd8ec08f93eff788766b665e3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)^2 = a^2+2ab+b^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"184\" 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-10c3b119d667d53a970a4b8ba0855d87_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a-b)^2 = a^2-2ab+b^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"184\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0415\u0449\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-f3bbb429ca019a3aba33692ba6645591_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ x^2+8x+16 = (x+4)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"209\" 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-0b824bfdd5de90db82671240d4022bcd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ x^2-14x+49 = (x-7)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"217\" 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-b27ce03b83f25ff8d201549c040d15c8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ x^4-20x^2+100 = (x^2-10)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"251\" 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-446da3b6767832c089fb77d9907ea2f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ 81x^2+90x+25 = (9x+5)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"245\" 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-2e2042bc291d956a4dda9d9bcc51eb81_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{E)} \\ 64x^4-176x+121 =\\left( 8x^2-11)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"279\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<p class=\"has-text-align-center\"> \u2b07\u2b07\u2b07 \u041d\u0435 \u0437\u0430\u0431\u044b\u0432\u0430\u0439\u0442\u0435, \u0447\u0442\u043e \u0432\u0441\u0435 \u0441\u0432\u043e\u0438 \u0432\u043e\u043f\u0440\u043e\u0441\u044b \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u043d\u0430\u043f\u0438\u0441\u0430\u0442\u044c \u043d\u0430\u043c \u043d\u0438\u0436\u0435 \u0432 \u043a\u043e\u043c\u043c\u0435\u043d\u0442\u0430\u0440\u0438\u044f\u0445! \u2b07\u2b07\u2b07<\/p>\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\u0438\u043c, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0438\u0434\u0435\u0430\u043b\u044c\u043d\u044b\u0439 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u044b\u0439 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d \u0438 \u043a\u0430\u043a \u043e\u043d \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u044b\u0432\u0430\u0435\u0442\u0441\u044f. \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 \u0441 \u043f\u043e\u0448\u0430\u0433\u043e\u0432\u044b\u043c\u0438 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f\u043c\u0438 \u0434\u043b\u044f \u0438\u0434\u0435\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u043e\u0433\u043e \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u0430. \u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0438\u0434\u0435\u0430\u043b\u044c\u043d\u044b\u0439 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u044b\u0439 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d? \u041e\u0447\u0435\u0432\u0438\u0434\u043d\u043e, \u0447\u0442\u043e \u043f\u0440\u0435\u0436\u0434\u0435 \u0447\u0435\u043c \u043f\u043e\u043d\u044f\u0442\u044c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0438\u0434\u0435\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u043e\u0433\u043e \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u0430, \u0432\u0430\u043c \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0437\u043d\u0430\u0442\u044c, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u044b , \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u044f \u0440\u0435\u043a\u043e\u043c\u0435\u043d\u0434\u0443\u044e \u0432\u0437\u0433\u043b\u044f\u043d\u0443\u0442\u044c &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ru\/%d0%b8%d0%b4%d0%b5%d0%b0%d0%bb%d1%8c%d0%bd%d1%8b%d0%b8-%d0%ba%d0%b2%d0%b0%d0%b4%d1%80%d0%b0%d1%82%d0%bd%d1%8b%d0%b8-%d1%82%d1%80%d0%b5%d1%85%d1%87%d0%bb%d0%b5%d0%bd\/\"> <span class=\"screen-reader-text\">\u0421\u043e\u0432\u0435\u0440\u0448\u0435\u043d\u043d\u044b\u0439 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u044b\u0439 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d<\/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":[21],"tags":[],"class_list":["post-68","post","type-post","status-publish","format-standard","hentry","category-21"],"yoast_head":"<!-- This site is optimized 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