{"id":331,"date":"2023-07-06T07:19:13","date_gmt":"2023-07-06T07:19:13","guid":{"rendered":"https:\/\/mathority.org\/ar\/%d9%85%d8%b1%d8%a8%d8%b9-%d9%85%d8%ac%d9%85%d9%88%d8%b9-%d8%a3%d9%88-%d9%85%d8%ac%d9%85%d9%88%d8%b9-%d9%85%d8%b1%d8%a8%d8%b9\/"},"modified":"2023-07-06T07:19:13","modified_gmt":"2023-07-06T07:19:13","slug":"%d9%85%d8%b1%d8%a8%d8%b9-%d9%85%d8%ac%d9%85%d9%88%d8%b9-%d8%a3%d9%88-%d9%85%d8%ac%d9%85%d9%88%d8%b9-%d9%85%d8%b1%d8%a8%d8%b9","status":"publish","type":"post","link":"https:\/\/mathority.org\/ar\/%d9%85%d8%b1%d8%a8%d8%b9-%d9%85%d8%ac%d9%85%d9%88%d8%b9-%d8%a3%d9%88-%d9%85%d8%ac%d9%85%d9%88%d8%b9-%d9%85%d8%b1%d8%a8%d8%b9\/","title":{"rendered":"\u0645\u0631\u0628\u0639 \u0627\u0644\u0645\u062c\u0645\u0648\u0639 (\u0623\u0648 \u0627\u0644\u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a)"},"content":{"rendered":"<p style=\";text-align:right;direction:rtl\">\u0633\u062a\u062c\u062f \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062d\u0629 \u0635\u064a\u063a\u0629 \u0645\u0631\u0628\u0639 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u060c \u0623\u064a \u0627\u0644\u0647\u0648\u064a\u0629 \u0627\u0644\u0628\u0627\u0631\u0632\u0629 (a+b) <sup>2<\/sup> . \u0633\u062a\u062a\u0645\u0643\u0646 \u0623\u064a\u0636\u064b\u0627 \u0645\u0646 \u0631\u0624\u064a\u0629 \u0623\u0645\u062b\u0644\u0629 \u0648\u062a\u0645\u0627\u0631\u064a\u0646 \u0645\u062d\u0644\u0648\u0644\u0629 \u0644\u0644\u0645\u062c\u0627\u0645\u064a\u0639 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a\u0629. \u0648\u0627\u0644\u0623\u0643\u062b\u0631 \u0645\u0646 \u0630\u0644\u0643\u060c \u0633\u0648\u0641 \u062a\u0643\u062a\u0634\u0641 \u0627\u0644\u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0647\u0646\u062f\u0633\u064a\u0629 \u0627\u0644\u0645\u062e\u0628\u0623\u0629 \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0645\u0646\u062a\u062c \u0627\u0644\u0631\u0627\u0626\u0639. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-el-cuadrado-de-una-suma\"><\/span> \u0645\u0627 \u0647\u0648 \u0645\u0631\u0628\u0639 \u0627\u0644\u0645\u0628\u0644\u063a\u061f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u0639\u062f <strong>\u0645\u0631\u0628\u0639 \u0627\u0644\u0645\u062c\u0645\u0648\u0639<\/strong> \u0623\u062d\u062f \u0627\u0644\u0645\u062a\u0637\u0627\u0628\u0642\u0627\u062a \u0627\u0644\u0628\u0627\u0631\u0632\u0629 (\u0623\u0648 \u0627\u0644\u0645\u0646\u062a\u062c\u0627\u062a \u0627\u0644\u0628\u0627\u0631\u0632\u0629)\u060c \u0644\u0630\u0627 \u0641\u0647\u064a \u0642\u0627\u0639\u062f\u0629 \u0631\u064a\u0627\u0636\u064a\u0629 \u062a\u0633\u0645\u062d \u0644\u0643 \u0628\u062d\u0633\u0627\u0628 \u0642\u0648\u0629 \u0630\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646 \u0628\u0633\u0631\u0639\u0629 \u0645\u0639 \u062d\u062f\u064a\u0646 \u0645\u0648\u062c\u0628\u064a\u0646 \u0645\u0631\u0628\u0639\u064a\u0646.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0641\u0625\u0646 \u0645\u0631\u0628\u0639 \u0627\u0644\u0645\u062c\u0645\u0648\u0639 \u064a\u062a\u0643\u0648\u0646 \u0645\u0646 \u062d\u062f\u064a\u0646 \u0645\u062e\u062a\u0644\u0641\u064a\u0646 \u0645\u0636\u0627\u0641\u064a\u0646 \u0645\u0639\u064b\u0627 \u0648\u0645\u0631\u0628\u0639\u064a\u0646\u060c \u0623\u064a \u0623\u0646 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0627\u0644\u062c\u0628\u0631\u064a \u0644\u0645\u0631\u0628\u0639 \u0627\u0644\u0645\u062c\u0645\u0648\u0639 \u0647\u0648 <strong>(a+b) <sup>2<\/sup><\/strong> .<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"Formula-del-cuadrado-de-una-suma\"><\/span> \u0635\u064a\u063a\u0629 \u0644\u0645\u0631\u0628\u0639 \u0627\u0644\u0645\u0628\u0644\u063a<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0627\u0644\u0646\u0638\u0631 \u0625\u0644\u0649 \u0627\u0644\u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u0631\u064a\u0627\u0636\u064a \u0644\u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u0627\u0644\u0631\u0627\u0626\u0639 \u0645\u0646 \u0627\u0644\u0647\u0648\u064a\u0629\u060c \u0633\u0646\u0631\u0649 \u0627\u0644\u0622\u0646 \u0645\u0627 \u0647\u064a <strong>\u0635\u064a\u063a\u0629 \u0645\u0631\u0628\u0639 \u0627\u0644\u0645\u062c\u0645\u0648\u0639<\/strong> : <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/formule-pour-le-carre-dune-somme.png\" alt=\"\u0635\u064a\u063a\u0629 \u0644\u0645\u0631\u0628\u0639 \u0627\u0644\u0645\u0628\u0644\u063a\" class=\"wp-image-2339\" width=\"269\" height=\"270\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u062d\u064a\u062b \u064a\u0643\u0648\u0646 \u0645\u0631\u0628\u0639 \u0627\u0644\u0645\u062c\u0645\u0648\u0639 \u064a\u0633\u0627\u0648\u064a \u0645\u0631\u0628\u0639 \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u0648\u0644\u060c \u0645\u0636\u0627\u0641\u064b\u0627 \u0625\u0644\u064a\u0647 \u0636\u0639\u0641 \u062d\u0627\u0635\u0644 \u0636\u0631\u0628 \u0627\u0644\u0623\u0648\u0644 \u0641\u064a \u0627\u0644\u062b\u0627\u0646\u064a\u060c \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0645\u0631\u0628\u0639 \u0627\u0644\u062b\u0627\u0646\u064a.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0644\u062d\u0644 \u0645\u062c\u0645\u0648\u0639 \u0645\u0631\u0628\u0639\u060c \u0644\u0627 \u064a\u0643\u0641\u064a \u0631\u0641\u0639 \u0643\u0644 \u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0627\u062b\u0646\u064a\u0646\u060c \u0648\u0644\u0643\u0646 \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u064a\u062c\u0628 \u0636\u0631\u0628 \u0627\u0644\u062c\u0645\u0639\u064a\u0646 \u0645\u0639\u064b\u0627 \u0648\u0641\u064a 2.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u0646 \u0627\u0644\u0645\u0647\u0645 \u0623\u0646 \u062a\u062a\u0630\u0643\u0631 \u0630\u0644\u0643\u060c \u0644\u0623\u0646 \u0627\u0644\u062e\u0637\u0623 \u0627\u0644\u0634\u0627\u0626\u0639 \u062c\u062f\u064b\u0627 \u0639\u0646\u062f \u0625\u0636\u0627\u0641\u0629 \u0627\u0644\u0645\u0631\u0628\u0639\u0627\u062a \u0647\u0648 \u0646\u0633\u064a\u0627\u0646 \u062d\u0627\u0635\u0644 \u0627\u0644\u0636\u0631\u0628 \u0628\u064a\u0646 \u0627\u0644\u062d\u062f\u064a\u0646 \u0648\u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u0631\u0628\u0639\u0627\u062a \u0641\u0642\u0637: <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/polynomes-au-carre-dune-somme.jpg\" alt=\"\u0645\u0631\u0628\u0639 \u0645\u062c\u0645\u0648\u0639 \u0643\u062b\u064a\u0631\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f\" class=\"wp-image-2342\" width=\"246\" height=\"68\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u062a\u0630\u0643\u0631 \u0623\u0644\u0627 \u062a\u062a\u0631\u0643 \u0623\u064a \u0645\u0635\u0637\u0644\u062d\u0627\u062a \u062e\u0627\u0631\u062c \u0627\u0644\u0635\u064a\u063a\u0629!<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u062a\u0630\u0643\u0631 \u0623\u0646 \u0635\u064a\u063a\u0629 \u0627\u0644\u0637\u0631\u062d \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a (\u0623\u0648 \u0645\u0631\u0628\u0639 \u0627\u0644\u0637\u0631\u062d) \u062a\u0634\u0628\u0647 \u0625\u0644\u0649 \u062d\u062f \u0643\u0628\u064a\u0631 \u062a\u0644\u0643 \u0627\u0644\u062a\u064a \u0631\u0623\u064a\u0646\u0627\u0647\u0627 \u0644\u0644\u062a\u0648\u060c \u0648\u0644\u0643\u0646 \u0628\u0647\u0627 \u0627\u062e\u062a\u0644\u0627\u0641 \u064a\u063a\u064a\u0631 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u062a\u0645\u0627\u0645\u064b\u0627. \u0625\u0630\u0627 \u0644\u0645 \u062a\u0643\u0646 \u0645\u062a\u0623\u0643\u062f\u064b\u0627 \u0645\u0646 \u0634\u0643\u0644 \u0630\u0644\u0643\u060c \u064a\u0645\u0643\u0646\u0643 \u0627\u0644\u062a\u062d\u0642\u0642 \u0647\u0646\u0627 \u0645\u0646 \u0635\u064a\u063a\u0629 <strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ar\/\u0645\u0631\u0628\u0639-\u0627\u0644\u0641\u0631\u0642-\u0627\u0654\u0648-\u0627\u0644\u0637\u0631\u062d\/\">\u0627\u0644\u0637\u0631\u062d \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a\u0629<\/a><\/span><\/strong> \u0648\u0643\u064a\u0641\u064a\u0629 \u062a\u0637\u0628\u064a\u0642\u0647\u0627. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"Ejemplos-de-cuadrados-de-sumas\"><\/span> \u0623\u0645\u062b\u0644\u0629 \u0639\u0644\u0649 \u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0645\u0631\u0628\u0639\u0627\u062a<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a\u0645\u0627 \u064a\u0644\u064a \u0627\u0644\u0639\u062f\u064a\u062f \u0645\u0646 \u0627\u0644\u0623\u0645\u062b\u0644\u0629 \u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u062d\u062a\u0649 \u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0645\u0639\u0631\u0641\u0629 \u0643\u064a\u0641\u064a\u0629 \u062a\u0631\u0628\u064a\u0639 \u0627\u0644\u0645\u0628\u0644\u063a:<\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0645\u062b\u0627\u0644 1<\/h3>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0627\u062d\u0633\u0628 \u0627\u0644\u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u062a\u0627\u0644\u064a \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0635\u064a\u063a\u0629:<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9a9b2aa575ef7fa83e8bb98cbb385ac8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x+5)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"61\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a \u0647\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e3c7bb69fbb939444db4e075615462f4_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 style=\";text-align:right;direction:rtl\"> \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u0623\u0648\u0644\u0627 \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0645\u0639\u0644\u0645\u0627\u062a<\/p>\n<p style=\";text-align:right;direction:rtl\">\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> \u0648<\/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> \u0645\u0646 \u0627\u0644\u0635\u064a\u063a\u0629. \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629\u060c<\/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> \u064a\u0645\u062b\u0644<\/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> \u0645\u0646 \u0627\u0644\u0632\u0648\u062c \u0648<\/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> \u062a\u062a\u0648\u0627\u0641\u0642 \u0645\u0639 \u0631\u0642\u0645 5:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5ba75b0f34f956985ea0163011a03acf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left. \\begin{array}{l} (a+b)^2\\\\[2ex] (x+5)^2 \\end{array} \\color{red} \\right\\} \\quad \\color{red}\\bm{\\longrightarrow}\\quad  \\color{black} \\begin{array}{c} a=x \\\\[2ex] b=5 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"295\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u062d\u0633\u0646\u064b\u0627\u060c \u0628\u0645\u0627 \u0623\u0646\u0646\u0627 \u0646\u0639\u0631\u0641 \u0627\u0644\u0622\u0646 \u0642\u064a\u0645<\/p>\n<p style=\";text-align:right;direction:rtl\">\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> \u0648\u0628\u0646\u0627\u0621\u0627 \u0639\u0644\u0649<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a521efcd0a946cd643aebe98b5b41a3c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b,\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"12\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u064a\u0645\u0643\u0646\u0646\u0627 \u062a\u0637\u0628\u064a\u0642 \u0627\u0644\u0635\u064a\u063a\u0629 \u0644\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0646\u062a\u064a\u062c\u0629 \u0645\u0631\u0628\u0639 \u0627\u0644\u0645\u062c\u0645\u0648\u0639: <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/produits-notables-au-carre-dune-somme.jpg\" alt=\"\u0645\u0631\u0628\u0639 \u0645\u0646 \u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0645\u0646\u062a\u062c\u0627\u062a \u0627\u0644\u0628\u0627\u0631\u0632\u0629\" class=\"wp-image-2349\" width=\"284\" height=\"164\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0645\u062b\u0627\u0644 2<\/h3>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u062d\u0644 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0627\u0644\u062a\u0627\u0644\u064a \u0644\u0645\u0631\u0628\u0639 \u0627\u0644\u0645\u062c\u0645\u0648\u0639:<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-12067275e14b98d59e004045606f26fb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(3x+4)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"70\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0635\u064a\u063a\u0629 \u0645\u0631\u0628\u0639 \u0627\u0644\u0645\u062c\u0645\u0648\u0639 \u0647\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e3c7bb69fbb939444db4e075615462f4_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 style=\";text-align:right;direction:rtl\"> \u062d\u062a\u0649 \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0645\u0634\u0643\u0644\u0629<\/p>\n<p style=\";text-align:right;direction:rtl\">\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> \u0647\u0648 \u0623\u062d\u0627\u062f\u064a \u0627\u0644\u062d\u062f<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bcea841b93e6d1c6150bf94b4036ab3c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3x\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"19\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0648\u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c<\/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> \u0647\u0648 \u0627\u0644\u0645\u0635\u0637\u0644\u062d \u0627\u0644\u0645\u0633\u062a\u0642\u0644 4:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-89bb3514fbd79ba368588655e152e9cc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c} a=3x \\\\[2ex] b=4 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"50\" width=\"52\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0623\u062e\u064a\u0631\u0627\u060c \u0628\u0645\u062c\u0631\u062f \u0623\u0646 \u062d\u062f\u062f\u0646\u0627 \u0642\u064a\u0645<\/p>\n<p style=\";text-align:right;direction:rtl\">\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> \u0648\u0628\u0646\u0627\u0621\u0627 \u0639\u0644\u0649<\/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> \u060c \u0646\u0637\u0628\u0642 \u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a \u0644\u062d\u0644 \u0627\u0644\u0645\u0646\u062a\u062c \u0627\u0644\u0628\u0627\u0631\u0632: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ed0d9fcdbeeac2247b68789dd0268f37_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} (3x+4)^2 &amp; =(3x)^2+2 \\cdot 3x\\cdot 4+4^2 \\\\[2ex] &amp; =9x^2+24x+16 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"62\" width=\"256\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"Demostracion-de-la-formula-del-cuadrado-de-una-suma\"><\/span> \u0625\u062b\u0628\u0627\u062a \u0635\u064a\u063a\u0629 \u0645\u0631\u0628\u0639 \u0627\u0644\u0645\u0628\u0644\u063a<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u062b\u0645 \u0633\u0648\u0641 \u0646\u0633\u062a\u0646\u062a\u062c \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u062a\u064a \u0631\u0623\u064a\u0646\u0627\u0647\u0627 \u0644\u0644\u062a\u0648 \u0645\u0646 \u0645\u0631\u0628\u0639 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u060c \u062d\u062a\u0649 \u062a\u0641\u0647\u0645 \u0645\u0646 \u0623\u064a\u0646 \u0623\u062a\u062a.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0628\u062f\u0621 \u0645\u0646 \u0630\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646 \u0627\u0644\u0645\u0648\u062c\u0628\u0629 \u0645\u0631\u0641\u0648\u0639\u0629 \u0625\u0644\u0649 2:<\/p>\n<p style=\";text-align:right;direction:rtl\">\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>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u0646 \u0627\u0644\u0648\u0627\u0636\u062d \u0623\u0646 \u0627\u0644\u0642\u0648\u0629 \u0627\u0644\u0645\u0630\u0643\u0648\u0631\u0629 \u0623\u0639\u0644\u0627\u0647 \u062a\u0639\u0627\u062f\u0644 \u0627\u0644\u0639\u0627\u0645\u0644<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2cfde4aacc08aae1ed70fe5f7b2f74de_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"51\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0645\u0636\u0631\u0648\u0628\u0627 \u0641\u064a \u0646\u0641\u0633\u0647:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7b2df207ac593eaf04ac60ac40b89a7b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)^2=(a+b)\\cdot (a+b)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"200\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0644\u0643\u060c \u0646\u0636\u0631\u0628 \u0627\u0644\u0642\u0648\u0633\u064a\u0646 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u062e\u0627\u0635\u064a\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1c871c4ad6546c817128379acbef78c8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} (a+b)\\cdot (a+b) &amp; = a\\cdot a +a\\cdot b +b\\cdot a +b\\cdot b \\\\[2ex] &amp;=a^2+ab+ba+b^2 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"60\" width=\"325\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0645\u0646 \u0627\u0644\u0645\u0635\u0637\u0644\u062d\u0627\u062a \u0627\u0644\u0646\u0627\u062a\u062c\u0629\u060c \u0646\u0642\u0648\u0645 \u0628\u062a\u062c\u0645\u064a\u0639 \u0627\u0644\u0645\u0635\u0637\u0644\u062d\u0627\u062a \u0627\u0644\u0645\u062a\u0634\u0627\u0628\u0647\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b645fb320040c599e077b3e5bdc4b407_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^2+ab+ba+b^2 = a^2+2ab+b^2\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"256\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0642\u062f \u0648\u0635\u0644\u0646\u0627 \u0628\u0627\u0644\u0641\u0639\u0644 \u0625\u0644\u0649 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0643\u062b\u064a\u0631 \u0627\u0644\u062d\u062f\u0648\u062f \u0644\u0644\u0635\u064a\u063a\u0629\u060c \u0641\u062b\u0628\u062a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-66c4071b50f376018a8ac9b6f3f9f5fb_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 style=\";text-align:right;direction:rtl\"> \u0639\u0644\u0649 \u0627\u0644\u0631\u063a\u0645 \u0645\u0646 \u0623\u0646\u0647 \u0642\u062f \u064a\u0643\u0648\u0646 \u0645\u0646 \u0627\u0644\u0635\u0639\u0628 \u062a\u0635\u062f\u064a\u0642 \u0630\u0644\u0643\u060c \u0625\u0644\u0627 \u0623\u0646 \u0645\u0631\u0628\u0639 \u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u062c\u0645\u0648\u0639 \u064a\u0639\u0645\u0644 \u0623\u064a\u0636\u064b\u0627 \u0639\u0644\u0649 <a href=\"https:\/\/mathority.org\/ar\"><strong><span style=\"text-decoration: underline;\">\u062a\u062d\u0644\u064a\u0644 \u0643\u062b\u064a\u0631\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a\u0629<\/span><\/strong><\/a> . \u0641\u064a \u062d\u0627\u0644 \u0643\u0646\u062a \u0644\u0627 \u062a\u0639\u0631\u0641 \u0645\u0627 \u0647\u0648\u060c \u0641\u0625\u0646 \u062a\u062d\u0644\u064a\u0644 \u0643\u062b\u064a\u0631\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f \u0647\u0648 \u0625\u062c\u0631\u0627\u0621 \u064a\u0633\u062a\u062e\u062f\u0645 \u063a\u0627\u0644\u0628\u064b\u0627 \u0641\u064a \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0644\u062a\u0628\u0633\u064a\u0637 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0639\u0646 \u0643\u062b\u064a\u0631\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f. \u0627\u0643\u062a\u0634\u0641 \u0643\u064a\u0641 \u064a\u062a\u0645 \u0630\u0644\u0643 \u0645\u0646 \u062e\u0644\u0627\u0644 \u0627\u0644\u0646\u0642\u0631 \u0639\u0644\u0649 \u0627\u0644\u0631\u0627\u0628\u0637 \u0623\u0639\u0644\u0627\u0647. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"Interpretacion-geometrica-del-cuadrado-de-una-suma\"><\/span> \u0627\u0644\u062a\u0641\u0633\u064a\u0631 \u0627\u0644\u0647\u0646\u062f\u0633\u064a \u0644\u0645\u0631\u0628\u0639 \u0627\u0644\u0645\u062c\u0645\u0648\u0639<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0642\u062f \u0631\u0623\u064a\u0646\u0627 \u062d\u062a\u0649 \u0627\u0644\u0622\u0646 \u0643\u064a\u0641 \u064a\u062a\u0645 \u062d\u0633\u0627\u0628 \u0645\u0631\u0628\u0639 \u0627\u0644\u0645\u062c\u0645\u0648\u0639 \u0631\u064a\u0627\u0636\u064a\u064b\u0627\u060c \u0648\u0644\u0643\u0646 \u064a\u0645\u0643\u0646 \u0623\u064a\u0636\u064b\u0627 \u062a\u0641\u0633\u064a\u0631 \u0647\u0630\u0627 \u0627\u0644\u0645\u0646\u062a\u062c \u0627\u0644\u0631\u0627\u0626\u0639 \u0647\u0646\u062f\u0633\u064a\u064b\u0627.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0646\u0638\u0631 \u0625\u0644\u0649 \u0627\u0644\u0645\u0631\u0628\u0639 \u0627\u0644\u062a\u0627\u0644\u064a \u0627\u0644\u0630\u064a \u0642\u064a\u0627\u0633 \u0623\u0636\u0644\u0627\u0639\u0647 <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5f03f5d7b3d514b94a628f988975c108_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a+b:\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"48\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/carre-geometrique-interpretation-d-une-somme.jpg\" alt=\"\u0627\u0644\u062a\u0641\u0633\u064a\u0631 \u0627\u0644\u0647\u0646\u062f\u0633\u064a \u0627\u0644\u0645\u0631\u0628\u0639 \u0644\u0644\u0645\u062c\u0645\u0648\u0639\" class=\"wp-image-2364\" width=\"282\" height=\"289\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u0633\u0627\u062d\u0629 \u0627\u0644\u0645\u0631\u0628\u0639 \u062a\u0633\u0627\u0648\u064a \u0637\u0648\u0644 \u0623\u062d\u062f \u0623\u0636\u0644\u0627\u0639\u0647 \u0627\u0644\u0645\u0631\u0628\u0639\u0629. \u0644\u0630\u0644\u0643\u060c \u0643\u0645\u0627 \u0647\u0648 \u0627\u0644\u062c\u0627\u0646\u0628 \u0645\u0646 \u0627\u0644\u0645\u0631\u0628\u0639 \u0627\u0644\u0633\u0627\u0628\u0642<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-45dc37f5e6c04130e5e7cdc375a9fc8d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a+b,\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"43\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0645\u0633\u0627\u062d\u062a\u0647\u0627 (\u0623\u0648 \u0633\u0637\u062d\u0647\u0627) \u062a\u0633\u0627\u0648\u064a<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b02b123bc26be5152c4a9917a6cb9539_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<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u062d\u0633\u0646\u064b\u0627\u060c \u0643\u0645\u0627 \u062a\u0631\u0648\u0646 \u0641\u064a \u0627\u0644\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0645\u0631\u0628\u0639\u060c \u0645\u0631\u0628\u0639 \u0645\u0633\u0627\u062d\u062a\u0647<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d3fbbc716a20a1a8e5fb339ee863ef14_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^2,\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"21\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0645\u0633\u062a\u0637\u064a\u0644\u0627\u062a \u0630\u0627\u062a \u0645\u0646\u0637\u0642\u062a\u064a\u0646<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a8d53cd0a9beed89b01eb3a3d6b7ff79_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"ab,\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"21\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0648\u0645\u0631\u0628\u0639 \u0622\u062e\u0631 \u0645\u0646 \u0627\u0644\u0633\u0637\u062d<\/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<p> \u0644\u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0635\u064a\u063a\u0629 \u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0645\u0631\u0628\u0639 \u062a\u062a\u062d\u0642\u0642 \u0623\u064a\u0636\u064b\u0627 \u0645\u0646 \u0648\u062c\u0647\u0629 \u0646\u0638\u0631 \u0647\u0646\u062f\u0633\u064a\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e3c7bb69fbb939444db4e075615462f4_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<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"Ejercicios-resueltos-del-cuadrado-de-una-suma\"><\/span> \u062d\u0644 \u0645\u0633\u0627\u0626\u0644 \u0645\u0631\u0628\u0639 \u0627\u0644\u0645\u062c\u0645\u0648\u0639<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u062b\u0645 \u0646\u062a\u0631\u0643\u0643 \u0645\u0639 \u0627\u0644\u0639\u062f\u064a\u062f \u0645\u0646 \u062a\u0645\u0627\u0631\u064a\u0646 \u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0645\u0631\u0628\u0639\u0627\u062a \u0627\u0644\u062a\u064a \u062a\u0645 \u062d\u0644\u0647\u0627 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u062d\u062a\u0649 \u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0627\u0644\u062a\u062f\u0631\u0628 \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0627\u0644\u0627\u0646\u062a\u0647\u0627\u0621 \u0645\u0646 \u0641\u0647\u0645 \u0627\u0644\u0645\u0641\u0647\u0648\u0645. \u064a\u0645\u0643\u0646\u0643\u0645 \u0623\u0646 \u062a\u0643\u062a\u0628\u0648\u0627 \u0644\u0646\u0627 \u062c\u0645\u064a\u0639 \u0623\u0633\u0626\u0644\u062a\u0643\u0645 \u0641\u064a \u0627\u0644\u062a\u0639\u0644\u064a\u0642\u0627\u062a\u060c \u0648\u0633\u0646\u0643\u0648\u0646 \u0633\u0639\u062f\u0627\u0621 \u0628\u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0639\u0644\u064a\u0647\u0627. \ud83d\udcad\ud83d\udcad\ud83d\udcad<\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062a\u0645\u0631\u064a\u0646 1<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u062d\u062f\u062f \u0627\u0644\u0645\u062c\u0627\u0645\u064a\u0639 \u0627\u0644\u062a\u0627\u0644\u064a\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9229e4ae2034182594cea6b72883a61e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ (x+3)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"88\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e9db6436020d25d8dde919b5db5071d7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ (2+6x)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"96\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-55d230fdf4d87dfb39f5427089c4bcd0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\left(x^2+7\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"100\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8858ec9b4957c47679e682ab433bd75d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ (5x+8y)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"106\" 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;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u062d\u0644 \u062c\u0645\u064a\u0639 \u0627\u0644\u0647\u0648\u064a\u0627\u062a \u0627\u0644\u0628\u0627\u0631\u0632\u0629 \u0644\u0644\u0645\u0634\u0643\u0644\u0629\u060c \u064a\u0643\u0641\u064a \u062a\u0637\u0628\u064a\u0642 \u0635\u064a\u063a\u0629 \u0645\u0631\u0628\u0639 \u0627\u0644\u0645\u062c\u0645\u0648\u0639: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e3c7bb69fbb939444db4e075615462f4_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 style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-571dada676a093b9b625887a09615b5c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\begin{aligned}(x+3)^2&amp; =x^2+2\\cdot x\\cdot 3 +3^2\\\\[2ex] &amp; = \\bm{x^2+6x +9}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"63\" width=\"248\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8d696f9e8ea8a9246922a0aa132d7e24_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\begin{aligned}(2+6x)^2 &amp; =2^2+2\\cdot 2\\cdot 6x +(6x)^2\\\\[2ex] &amp; = \\bm{4+24x+36x^2}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"63\" width=\"288\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-62f7ef68fc47d45958f6a10dbfe3f512_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\begin{aligned}\\left(x^2+7\\right)^2 &amp; = \\left(x^2\\right)^2+2\\cdot x^2\\cdot 7 +7^2\\\\[2ex] &amp; = \\bm{x^4+14x^2 +49}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"66\" width=\"290\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2fdf798e7d585cdbc2bbeb0417bfc62a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ \\begin{aligned}(5x+8y)^2 &amp; =(5x)^2+2\\cdot 5x\\cdot 8y +(8y)^2\\\\[2ex] &amp; = \\bm{25x^2+80xy+64y^2}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"331\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\">\u062a\u0645\u0631\u064a\u0646 2<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u062d\u0644 \u0645\u0631\u0628\u0639\u0627\u062a \u0645\u062c\u0645\u0648\u0639 \u062d\u062f\u064a\u0646 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0645\u0646 \u062e\u0644\u0627\u0644 \u062a\u0637\u0628\u064a\u0642 \u0627\u0644\u0635\u064a\u063a\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cde71610badce0bddaa952e68411ea3c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\left(4x^2+2y^3\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"127\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-097f1d298bc8e31ba41fc8163e310c6e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\displaystyle \\left(\\sqrt{2x}+\\sqrt{8x}\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"35\" width=\"146\" style=\"vertical-align: -11px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b432940794af539924a002fac6533134_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\displaystyle \\left(\\frac{4}{3}x^2+\\frac{3}{2}x\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"47\" width=\"137\" style=\"vertical-align: -17px;\"><\/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;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u062d\u0633\u0627\u0628 \u062c\u0645\u064a\u0639 \u0627\u0644\u0645\u0646\u062a\u062c\u0627\u062a \u0627\u0644\u0628\u0627\u0631\u0632\u0629 \u0644\u0644\u0645\u0634\u0643\u0644\u0629\u060c \u064a\u062c\u0628 \u0639\u0644\u064a\u0643 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e3c7bb69fbb939444db4e075615462f4_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 style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b8eaa03c68adc376819c5e12081f6d39_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\begin{aligned}\\left(4x^2+2y^3\\right)^2 &amp; =\\left(4x^2\\right)^2+2\\cdot 4x^2\\cdot 2y^3 +\\left(2y^3\\right)^2\\\\[2ex] &amp; = \\bm{16x^4+16x^2y^3+4y^6}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"68\" width=\"384\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0627\u0644\u0642\u0633\u0645 \u0628) \u0639\u0644\u064a\u0643 \u0623\u0646 \u062a\u062a\u0630\u0643\u0631 \u0623\u0646\u0647 \u0625\u0630\u0627 \u062a\u0645 \u062a\u0631\u0628\u064a\u0639 \u0627\u0644\u062c\u0630\u0631\u060c \u0641\u0633\u064a\u062a\u0645 \u062a\u0628\u0633\u064a\u0637\u0647:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a38b1df7ca331cb002253d52eb008608_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\begin{aligned}\\left(\\sqrt{2x}+\\sqrt{8x}\\right)^2 &amp; =\\left(\\sqrt{2x}\\right)^2+2\\cdot \\sqrt{2x}\\cdot \\sqrt{8x} +\\left(\\sqrt{8x}\\right)^2\\\\[2ex] &amp; =2x+2\\sqrt{2x\\cdot 8x} +8x \\\\[2ex] &amp; = 10x+2\\sqrt{16x^2} \\\\[2ex] &amp;= 10x+2\\cdot 4x = \\\\[2ex] &amp; = 10x +8x \\\\[2ex] &amp; = \\bm{18x}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"247\" width=\"443\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u062a\u0645\u062a\u0644\u0643 \u0648\u062d\u064a\u062f\u0627\u062a \u0627\u0644\u062d\u062f \u0644\u0644\u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0623\u062e\u064a\u0631 \u0645\u0631\u0628\u0639\u064b\u0627 \u0645\u0639\u0627\u0645\u0644\u0627\u062a \u0643\u0633\u0631\u064a\u0629\u060c \u0644\u0630\u0627 \u0644\u062d\u0644\u0647\u0627 \u0646\u062d\u062a\u0627\u062c \u0623\u064a\u0636\u064b\u0627 \u0625\u0644\u0649 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0643\u0633\u0648\u0631: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c50dcca740e334b34f746e71f4af826e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\displaystyle \\begin{aligned} \\left(\\frac{4}{3}x^2+\\frac{3}{2}x\\right)^2 &amp; = \\left(\\frac{4}{3}x^2\\right)^2+2\\cdot \\frac{4}{3}x^2\\cdot \\frac{3}{2}x +\\left(\\frac{3}{2}x\\right)^2\\\\[2ex] &amp; = \\frac{4^2}{3^2}x^4+2\\cdot \\frac{12}{6}x^3 +\\frac{3^2}{2^2}x^2 \\\\[2ex] &amp;= \\frac{16}{9}x^4 +2\\cdot 2x^3+\\frac{9}{4}x^2 \\\\[2ex] &amp; = \\mathbf{\\frac{16}{9}} \\bm{x^4+4x^3+}\\mathbf{\\frac{9}{4}}\\bm{x^2}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"222\" width=\"416\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\">\u0627\u0644\u062a\u0645\u0631\u064a\u0646 3<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u0648\u062c\u062f \u0627\u0644\u0642\u0648\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0628\u062a\u0637\u0628\u064a\u0642 \u0635\u064a\u063a\u0629 \u0645\u0631\u0628\u0639 \u0627\u0644\u0645\u062c\u0645\u0648\u0639 \u0648\u0628\u062f\u0648\u0646 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0622\u0644\u0629 \u0627\u0644\u062d\u0627\u0633\u0628\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-86db45137cb4792d046d171c28662c90_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"17^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"24\" style=\"vertical-align: 0px;\"><\/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;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0623\u0648\u0644\u064b\u0627\u060c \u064a\u0645\u0643\u0646 \u062a\u0642\u0633\u064a\u0645 \u0627\u0644\u0639\u062f\u062f \u0633\u0628\u0639\u0629 \u0639\u0634\u0631 \u0625\u0644\u0649 \u0645\u062c\u0645\u0648\u0639 10 \u0632\u0627\u0626\u062f 7:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-55dc7f45d8d495163afd5d22d2c612ce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"17^2=(10+7)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"117\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0644\u0643 \u0642\u0645\u0646\u0627 \u0628\u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u0642\u0648\u0629 \u0625\u0644\u0649 \u0645\u062c\u0645\u0648\u0639 \u0645\u0631\u0628\u0639. \u0644\u0630\u0644\u0643\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0644\u0622\u0646 \u062a\u0637\u0628\u064a\u0642 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u0642\u0627\u0628\u0644\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-83e35048f0ae6ae12bc2b5b3d761fb99_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}(10+7)^2 &amp; = 10^2+2\\cdot 10 \\cdot 7 +7^2 \\\\[2ex] &amp; =100+140+49\\\\[2ex] &amp; =289 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"100\" width=\"238\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u062e\u062a\u0635\u0627\u0631 \u0641\u0625\u0646 \u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u062a\u0642\u0648\u064a\u0629 \u0647\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d13bfdf83060795d27403604f251047d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"17^2=\\bm{289}\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"75\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0643\u0645\u0627 \u0631\u0623\u064a\u062a \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u062a\u0645\u0631\u064a\u0646\u060c \u0641\u0625\u0646 \u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a \u0645\u0641\u064a\u062f\u0629 \u0623\u064a\u0636\u064b\u0627 \u0644\u062d\u0633\u0627\u0628 \u0642\u0648\u0649 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0643\u0628\u064a\u0631\u0629 \u062f\u0648\u0646 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0622\u0644\u0629 \u0627\u0644\u062d\u0627\u0633\u0628\u0629. <\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"Cuadrado-de-una-suma-de-3-terminos\"><\/span> \u0645\u0631\u0628\u0639 \u0645\u062c\u0645\u0648\u0639 3 \u062d\u062f\u0648\u062f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0628\u0639\u0636 \u0627\u0644\u0623\u062d\u064a\u0627\u0646 \u0642\u062f \u0646\u062c\u062f \u0623\u0646\u0646\u0627 \u0628\u062d\u0627\u062c\u0629 \u0625\u0644\u0649 \u062d\u0644 \u0645\u0631\u0628\u0639 \u062b\u0644\u0627\u062b\u0629 \u062d\u062f\u0648\u062f \u0645\u0636\u0627\u0641\u0629\u060c \u0623\u064a (a+b+c) <sup>2<\/sup> . \u0645\u0646\u0637\u0642\u064a\u064b\u0627\u060c \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0627\u062a \u0644\u0627 \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u062a\u064a \u0634\u0631\u062d\u0646\u0627\u0647\u0627\u060c \u0644\u0623\u0646\u0647 \u062f\u0627\u062e\u0644 \u0627\u0644\u0623\u0642\u0648\u0627\u0633 \u0644\u062f\u064a\u0646\u0627 \u062b\u0644\u0627\u062b\u064a\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0628\u062f\u0644\u0627\u064b \u0645\u0646 \u0630\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646. \u0648\u0644\u0630\u0644\u0643 \u0641\u0645\u0646 \u0627\u0644\u0636\u0631\u0648\u0631\u064a \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0635\u064a\u063a\u0629 \u0645\u062e\u062a\u0644\u0641\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u0635\u064a\u063a\u0629 \u0645\u0631\u0628\u0639 \u0645\u062c\u0645\u0648\u0639 3 \u062d\u062f\u0648\u062f<\/strong> \u0647\u064a \u0643\u0645\u0627 \u064a\u0644\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-547cbf526b192d07d188c703a68f12e4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\definecolor{blauquadreejemplo}{HTML}{ff5733}  \\newtcbox{\\mymath}[1][]{%     nobeforeafter, math upper, tcbox raise base,     enhanced, colframe=blauquadreejemplo,      boxrule=1.2pt, boxsep=2.5mm,     #1} \\begin{empheq}[box={\\mymath[colback=white, shadow={2.5mm}{-2.5mm}{0mm}{blauquadreejemplo!20!white,} ]}]{equation*}     (a+b+c)^2 = a^2+2a(b+c)+b^2+2bc+c^2 \\end{empheq}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"294\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u062f\u0639\u0648\u0646\u0627 \u0646\u0631\u0649 \u0643\u064a\u0641 \u064a\u062a\u0645 \u062a\u0637\u0628\u064a\u0642 \u0647\u0630\u0647 \u0627\u0644\u0635\u064a\u063a\u0629 \u0645\u0646 \u062e\u0644\u0627\u0644 \u0645\u062b\u0627\u0644:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d0816bbe156553fc1ef5920ac2b2e09f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} (2x+3y+5)^2 &amp; = (2x)^2 + 2\\cdot 2x (3y+5)+(3y)^2+2\\cdot  3y \\cdot 5 + 5^2 \\\\[2ex] &amp; =4x^2 +4x (3y+5)+9y^2+30y +25 \\\\[2ex] &amp;=4x^2 +12xy+20x+9y^2+30y +25 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"481\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0643\u0645\u0627 \u062a\u0631\u0649\u060c \u0641\u0625\u0646 \u0625\u0636\u0627\u0641\u0629 \u0639\u0646\u0635\u0631 \u0648\u0627\u062d\u062f \u0625\u0644\u0649 \u0627\u0644\u0635\u064a\u063a\u0629 \u064a\u062c\u0639\u0644 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0623\u0643\u062b\u0631 \u062a\u0639\u0642\u064a\u062f\u064b\u0627.<\/p>\n<div id=\"ezoic-pub-ad-placeholder-176\" data-inserter-version=\"-1\" style=\";text-align:right;direction:rtl\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u0633\u062a\u062c\u062f \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062d\u0629 \u0635\u064a\u063a\u0629 \u0645\u0631\u0628\u0639 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u060c \u0623\u064a \u0627\u0644\u0647\u0648\u064a\u0629 \u0627\u0644\u0628\u0627\u0631\u0632\u0629 (a+b) 2 . \u0633\u062a\u062a\u0645\u0643\u0646 \u0623\u064a\u0636\u064b\u0627 \u0645\u0646 \u0631\u0624\u064a\u0629 \u0623\u0645\u062b\u0644\u0629 \u0648\u062a\u0645\u0627\u0631\u064a\u0646 \u0645\u062d\u0644\u0648\u0644\u0629 \u0644\u0644\u0645\u062c\u0627\u0645\u064a\u0639 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a\u0629. \u0648\u0627\u0644\u0623\u0643\u062b\u0631 \u0645\u0646 \u0630\u0644\u0643\u060c \u0633\u0648\u0641 \u062a\u0643\u062a\u0634\u0641 \u0627\u0644\u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0647\u0646\u062f\u0633\u064a\u0629 \u0627\u0644\u0645\u062e\u0628\u0623\u0629 \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0645\u0646\u062a\u062c \u0627\u0644\u0631\u0627\u0626\u0639. \u0645\u0627 \u0647\u0648 \u0645\u0631\u0628\u0639 \u0627\u0644\u0645\u0628\u0644\u063a\u061f \u064a\u0639\u062f \u0645\u0631\u0628\u0639 \u0627\u0644\u0645\u062c\u0645\u0648\u0639 \u0623\u062d\u062f \u0627\u0644\u0645\u062a\u0637\u0627\u0628\u0642\u0627\u062a \u0627\u0644\u0628\u0627\u0631\u0632\u0629 (\u0623\u0648 \u0627\u0644\u0645\u0646\u062a\u062c\u0627\u062a \u0627\u0644\u0628\u0627\u0631\u0632\u0629)\u060c \u0644\u0630\u0627 \u0641\u0647\u064a \u0642\u0627\u0639\u062f\u0629 \u0631\u064a\u0627\u0636\u064a\u0629 \u062a\u0633\u0645\u062d \u0644\u0643 \u0628\u062d\u0633\u0627\u0628 \u0642\u0648\u0629 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ar\/%d9%85%d8%b1%d8%a8%d8%b9-%d9%85%d8%ac%d9%85%d9%88%d8%b9-%d8%a3%d9%88-%d9%85%d8%ac%d9%85%d9%88%d8%b9-%d9%85%d8%b1%d8%a8%d8%b9\/\"> <span class=\"screen-reader-text\">\u0645\u0631\u0628\u0639 \u0627\u0644\u0645\u062c\u0645\u0648\u0639 (\u0623\u0648 \u0627\u0644\u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a)<\/span> \u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0645\u0632\u064a\u062f 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\u0631\u0624\u064a\u0629 \u0623\u0645\u062b\u0644\u0629 \u0648\u062a\u0645\u0627\u0631\u064a\u0646 \u0645\u062d\u0644\u0648\u0644\u0629 \u0644\u0644\u0645\u062c\u0627\u0645\u064a\u0639 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a\u0629. \u0648\u0627\u0644\u0623\u0643\u062b\u0631 \u0645\u0646 \u0630\u0644\u0643\u060c \u0633\u0648\u0641 \u062a\u0643\u062a\u0634\u0641 \u0627\u0644\u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0647\u0646\u062f\u0633\u064a\u0629 \u0627\u0644\u0645\u062e\u0628\u0623\u0629 \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0645\u0646\u062a\u062c \u0627\u0644\u0631\u0627\u0626\u0639. \u0645\u0627 \u0647\u0648 \u0645\u0631\u0628\u0639 \u0627\u0644\u0645\u0628\u0644\u063a\u061f \u064a\u0639\u062f \u0645\u0631\u0628\u0639 \u0627\u0644\u0645\u062c\u0645\u0648\u0639 \u0623\u062d\u062f \u0627\u0644\u0645\u062a\u0637\u0627\u0628\u0642\u0627\u062a \u0627\u0644\u0628\u0627\u0631\u0632\u0629 (\u0623\u0648 \u0627\u0644\u0645\u0646\u062a\u062c\u0627\u062a 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