{"id":62,"date":"2023-09-17T07:23:14","date_gmt":"2023-09-17T07:23:14","guid":{"rendered":"https:\/\/mathority.org\/ar\/%d8%a7%d8%b3%d8%aa%d8%ae%d8%b1%d8%a7%d8%ac-%d8%a7%d8%b3%d8%aa%d8%ae%d8%b1%d8%a7%d8%ac-%d8%aa%d9%85%d8%a7%d8%b1%d9%8a%d9%86-%d8%a7%d9%84%d8%b9%d8%a7%d9%85%d9%84-%d8%a7%d9%84%d9%85%d8%b4%d8%aa%d8%b1\/"},"modified":"2023-09-17T07:23:14","modified_gmt":"2023-09-17T07:23:14","slug":"%d8%a7%d8%b3%d8%aa%d8%ae%d8%b1%d8%a7%d8%ac-%d8%a7%d8%b3%d8%aa%d8%ae%d8%b1%d8%a7%d8%ac-%d8%aa%d9%85%d8%a7%d8%b1%d9%8a%d9%86-%d8%a7%d9%84%d8%b9%d8%a7%d9%85%d9%84-%d8%a7%d9%84%d9%85%d8%b4%d8%aa%d8%b1","status":"publish","type":"post","link":"https:\/\/mathority.org\/ar\/%d8%a7%d8%b3%d8%aa%d8%ae%d8%b1%d8%a7%d8%ac-%d8%a7%d8%b3%d8%aa%d8%ae%d8%b1%d8%a7%d8%ac-%d8%aa%d9%85%d8%a7%d8%b1%d9%8a%d9%86-%d8%a7%d9%84%d8%b9%d8%a7%d9%85%d9%84-%d8%a7%d9%84%d9%85%d8%b4%d8%aa%d8%b1\/","title":{"rendered":"\u0627\u0633\u062a\u062e\u0631\u0627\u062c \u0623\u0648 \u0625\u0632\u0627\u0644\u0629 \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643"},"content":{"rendered":"<p style=\";text-align:right;direction:rtl\">\u0646\u0634\u0631\u062d \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062d\u0629 \u0643\u064a\u0641\u064a\u0629 \u0623\u062e\u0630 (\u0623\u0648 \u0627\u0633\u062a\u062e\u0631\u0627\u062c) \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0644\u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f. \u0633\u062a\u062c\u062f \u0647\u0646\u0627 \u0627\u0644\u0623\u0646\u0648\u0627\u0639 \u0627\u0644\u0645\u062e\u062a\u0644\u0641\u0629 \u0644\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0648\u0633\u062a\u0643\u0648\u0646 \u0642\u0627\u062f\u0631\u064b\u0627 \u0639\u0644\u0649 \u0631\u0624\u064a\u0629 \u0639\u062f\u0629 \u0623\u0645\u062b\u0644\u0629 \u0644\u0643\u064a\u0641\u064a\u0629 \u062a\u062d\u0642\u064a\u0642 \u0630\u0644\u0643. \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u064a\u0645\u0643\u0646\u0643 \u0627\u0644\u062a\u062f\u0631\u0628 \u0645\u0639 \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u0627\u0644\u062a\u064a \u062a\u0645 \u062d\u0644\u0647\u0627 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-el-factor-comun\"><\/span> \u0645\u0627 \u0647\u0648 \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643\u061f <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p class=\"has-background\" style=\"background-color:#ffebee;text-align:right;direction:rtl\"> \u0641\u064a \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a\u060c <strong>\u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643<\/strong> \u0647\u0648 \u0639\u0627\u0645\u0644 \u0645\u0648\u062c\u0648\u062f \u0641\u064a \u062c\u0645\u064a\u0639 \u062d\u062f\u0648\u062f \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f\u060c \u0623\u064a \u0623\u0646 \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u064a\u062a\u0643\u0648\u0646 \u0645\u0646 \u0631\u0642\u0645 \u0623\u0648 \u062d\u0631\u0641 \u064a\u0636\u0631\u0628 \u0643\u0644 \u062d\u062f \u0645\u0646 \u0643\u062b\u064a\u0631\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0633\u0648\u0641 \u0646\u062d\u062f\u062f \u0645\u0627 \u0647\u0648 \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0644\u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \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-55851b062b232cfea5dcd03351860f67_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4x+4y\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"59\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0627\u0644\u0631\u0642\u0645 4 \u064a\u062a\u0643\u0631\u0631 \u0641\u064a \u062c\u0645\u064a\u0639 \u062d\u062f\u0648\u062f \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f:<\/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-85078c48d043da6cc82f7ccd94af281c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\color{red} \\bm{4} \\color{black} x + \\color{red} \\bm{4} \\color{black} y\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"191\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0644\u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0647\u0630\u0627 \u064a\u0633\u0627\u0648\u064a 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-0f4364038f1bfdff454201e0a039ca86_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\text{Factor com\\'un} = 4 {\\phantom{\\frac{1}{2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"139\" style=\"vertical-align: -1px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"Como-sacar-o-extraer-factor-comun\"><\/span> \u0643\u064a\u0641\u064a\u0629 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 (\u0623\u0648 \u0627\u0633\u062a\u062e\u0631\u0627\u062c) \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0645\u062c\u0631\u062f \u0623\u0646 \u0646\u0639\u0631\u0641 \u0645\u0639\u0646\u0649 \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643\u060c \u062f\u0639\u0648\u0646\u0627 \u0646\u0631\u0649 \u0643\u064a\u0641\u064a\u0629 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0645\u0646 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f.<\/p>\n<p class=\"has-background\" style=\"background-color:#ffebee;text-align:right;direction:rtl\"> \u0639\u0646\u062f\u0645\u0627 \u064a\u0643\u0648\u0646 \u0647\u0646\u0627\u0643 \u0639\u0627\u0645\u0644 \u0645\u0634\u062a\u0631\u0643 \u0628\u064a\u0646 \u062d\u062f\u064a\u0646 \u0623\u0648 \u0623\u0643\u062b\u0631 \u0645\u0646 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f\u060c <strong>\u064a\u0645\u0643\u0646 \u0623\u062e\u0630 \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 (\u0623\u0648 \u0627\u0633\u062a\u062e\u0644\u0627\u0635\u0647)<\/strong> \u0644\u062a\u062d\u0648\u064a\u0644 \u0639\u0645\u0644\u064a\u0627\u062a \u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0623\u0648 \u0627\u0644\u0637\u0631\u062d \u0644\u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0625\u0644\u0649 \u0636\u0631\u0628.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0642\u062f \u064a\u0628\u062f\u0648 \u0647\u0630\u0627 \u0635\u0639\u0628\u064b\u0627 \u0628\u0639\u0636 \u0627\u0644\u0634\u064a\u0621 \u0641\u064a \u0627\u0644\u0643\u062a\u0627\u0628\u0629\u060c \u0644\u0630\u0644\u0643 \u062f\u0639\u0648\u0646\u0627 \u0646\u0631\u0649 \u0643\u064a\u0641\u064a\u0629 \u0627\u0633\u062a\u062e\u0631\u0627\u062c \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0645\u0646 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0628\u0645\u062b\u0627\u0644: <\/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\/extraire-ou-supprimer-le-facteur-commun-dun-polynome.png\" alt=\"\u0627\u0633\u062a\u062e\u0631\u0627\u062c \u0623\u0648 \u0625\u0632\u0627\u0644\u0629 \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0645\u0646 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f\" class=\"wp-image-1497\" width=\"155\" height=\"156\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0643\u0645\u0627 \u062a\u0631\u0648\u0646 \u0641\u064a \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0627\u0644\u0631\u0642\u0645 5 \u064a\u062a\u0643\u0631\u0631 \u0641\u064a \u0623\u062d\u0627\u062f\u064a\u0629 \u0627\u0644\u062d\u062f 5x \u0648\u0641\u064a \u0623\u062d\u0627\u062f\u064a\u0629 \u0627\u0644\u062d\u062f 5y\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0644\u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0647\u0648 5. \u0644\u0630\u0644\u0643 \u0628\u0645\u062c\u0631\u062f \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u062a\u062d\u0648\u064a\u0644 \u0645\u062c\u0645\u0648\u0639 \u0623\u062d\u0627\u062f\u064a\u0627\u062a \u0627\u0644\u062d\u062f \u0641\u064a \u0645\u0646\u062a\u062c.<\/p>\n<p class=\"has-background\" style=\"background-color:#fffde7;text-align:right;direction:rtl\"> \u0648\u0644\u0627 \u062a\u0646\u0633 \u0648\u0636\u0639 \u0627\u0644\u0642\u0648\u0633\u064a\u0646 \u0639\u0646\u062f \u0627\u0633\u062a\u062e\u0631\u0627\u062c \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643\u060c \u0644\u0623\u0646 \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u064a\u062c\u0628 \u0623\u0646 \u064a\u0636\u0627\u0639\u0641 \u062c\u0645\u064a\u0639 \u0627\u0644\u0625\u0636\u0627\u0641\u0627\u062a.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0625\u0632\u0627\u0644\u0629 \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0647\u064a \u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629 <strong>\u0644\u062e\u0627\u0635\u064a\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639<\/strong> \u060c \u0623\u064a \u0623\u0646\u0646\u0627 \u0641\u064a \u0627\u0644\u0648\u0627\u0642\u0639 \u0646\u0637\u0628\u0642 \u062e\u0627\u0635\u064a\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0641\u064a \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0627\u0644\u0645\u0639\u0627\u0643\u0633. \u0644\u0630\u0644\u0643\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u062f\u0627\u0626\u0645\u064b\u0627 \u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 \u0623\u0646\u0646\u0627 \u0627\u0633\u062a\u062e\u0631\u062c\u0646\u0627 \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0628\u0634\u0643\u0644 \u0635\u062d\u064a\u062d \u0639\u0646 \u0637\u0631\u064a\u0642 \u0625\u062c\u0631\u0627\u0621 \u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629:<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0627 \u062d\u0635\u0644\u0646\u0627\u060c \u0628\u062a\u0637\u0628\u064a\u0642 \u062e\u0627\u0635\u064a\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639\u060c \u0639\u0644\u0649 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0646\u0641\u0633\u0647\u0627 \u0645\u0646 \u0627\u0644\u0628\u062f\u0627\u064a\u0629\u060c \u0641\u0647\u0630\u0627 \u064a\u0639\u0646\u064a \u0623\u0646\u0646\u0627 \u062d\u0635\u0644\u0646\u0627 \u0639\u0644\u0649 \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0628\u0634\u0643\u0644 \u0635\u062d\u064a\u062d.<\/li>\n<li style=\";text-align:right;direction:rtl\"> \u0648\u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u0639\u0646\u062f\u0645\u0627 \u062a\u0643\u0648\u0646 \u0646\u062a\u064a\u062c\u0629 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u062e\u0627\u0635\u064a\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0643\u062b\u064a\u0631\u0629 \u062d\u062f\u0648\u062f \u0623\u062e\u0631\u0649 \u062a\u062e\u062a\u0644\u0641 \u0639\u0646 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0623\u0635\u0644\u064a\u0629\u060c \u0641\u0647\u0630\u0627 \u064a\u0639\u0646\u064a \u0623\u0646\u0646\u0627 \u0627\u0631\u062a\u0643\u0628\u0646\u0627 \u062e\u0637\u0623 \u0641\u064a \u0639\u0645\u0644\u064a\u0629 \u0627\u0633\u062a\u062e\u0631\u0627\u062c \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643. <\/li>\n<\/ul>\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\/propriete-distributive-du-facteur-commun.jpg\" alt=\"\u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0648\u0645\u0644\u0643\u064a\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639\" class=\"wp-image-1502\" width=\"317\" height=\"197\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"Ejemplos-de-sacar-o-extraer-factor-comun\"><\/span> \u0623\u0645\u062b\u0644\u0629 \u0639\u0644\u0649 \u0623\u062e\u0630 (\u0623\u0648 \u0627\u0633\u062a\u062e\u0644\u0627\u0635) \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0646\u062a\u0631\u0643\u0643\u0645 \u0645\u0639 \u0627\u0644\u0645\u0632\u064a\u062f \u0645\u0646 \u0627\u0644\u0623\u0645\u062b\u0644\u0629 \u0644\u0644\u0627\u0646\u062a\u0647\u0627\u0621 \u0645\u0646 \u0641\u0647\u0645 \u0645\u0641\u0647\u0648\u0645 \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643:<\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0645\u062b\u0627\u0644 1<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0643\u0645\u0627 \u062a\u0631\u0649 \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u064a\u0645\u0643\u0646 \u0627\u0633\u062a\u062e\u0631\u0627\u062c \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0645\u0646 \u0623\u0643\u062b\u0631 \u0645\u0646 \u062d\u062f\u064a\u0646 \u0641\u064a \u0646\u0641\u0633 \u0627\u0644\u0648\u0642\u062a: <\/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\/calculateur-de-facteur-commun.jpg\" alt=\"\u062d\u0627\u0633\u0628\u0629 \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643\" class=\"wp-image-1509\" width=\"231\" height=\"145\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0645\u062b\u0627\u0644 2<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u0645\u0643\u0646\u0643 \u0623\u064a\u0636\u064b\u0627 \u0627\u0633\u062a\u062e\u0631\u0627\u062c \u0639\u0627\u0645\u0644 \u0645\u0634\u062a\u0631\u0643 \u0645\u0646 \u0627\u0644\u0645\u062a\u063a\u064a\u0631\u0627\u062a (\u0623\u0648 \u0627\u0644\u062d\u0631\u0648\u0641): <\/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\/extrait-du-facteur-commun-dans-les-expressions-algebriques.jpg\" alt=\"\u0627\u0633\u062a\u062e\u0631\u0627\u062c \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0641\u064a \u0627\u0644\u062a\u0639\u0627\u0628\u064a\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629\" class=\"wp-image-1512\" width=\"199\" height=\"145\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629\u060c \u064a\u0642\u0648\u0645 \u0627\u0644\u062d\u0631\u0641 x \u0628\u0636\u0631\u0628 \u062d\u062f\u064a \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f\u060c \u0644\u0630\u0627 \u064a\u0645\u0643\u0646\u0646\u0627 \u062a\u0628\u0633\u064a\u0637 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0627\u0644\u062c\u0628\u0631\u064a \u0628\u0623\u062e\u0630 \u0627\u0644\u0645\u062a\u063a\u064a\u0631 x \u0643\u0639\u0627\u0645\u0644 \u0645\u0634\u062a\u0631\u0643.<\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0645\u062b\u0627\u0644 3<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u0648\u0644 \u0628\u0647 \u0627\u0644\u0645\u062a\u063a\u064a\u0631 x \u0645\u0631\u0641\u0648\u0639 \u0644\u0644\u0623\u0633 3 \u0648\u0641\u064a \u0627\u0644\u062d\u062f \u0627\u0644\u062b\u0627\u0646\u064a x \u0645\u0631\u0641\u0648\u0639 \u0644\u0644\u0623\u0633 2\u060c \u0644\u0630\u0627 \u0641\u0625\u0646 \u0643\u0644\u0627 \u0627\u0644\u062d\u062f\u064a\u0646 \u064a\u062d\u062a\u0648\u064a \u0639\u0644\u0649 \u0639\u0644\u0627\u0645\u062a\u064a x. \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0644\u064a\u0633 \u0645\u062c\u0631\u062f x\u060c \u0628\u0644 x <sup>2<\/sup> : <\/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\/algebre-facteur-commun-de-x-au-carre.jpg\" alt=\"\u062c\u0628\u0631 \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0644\u0640 x \u062a\u0631\u0628\u064a\u0639\" class=\"wp-image-1515\" width=\"190\" height=\"143\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u0644\u0627\u062d\u0638 \u0623\u0646\u0647 <strong>\u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0644\u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u064a\u062a\u0637\u0627\u0628\u0642 \u062a\u0645\u0627\u0645\u064b\u0627 \u0645\u0639 \u0627\u0644\u062d\u062f\u060c \u0641\u0639\u0646\u062f\u0645\u0627 \u0646\u0633\u062a\u062e\u0631\u062c \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643\u060c \u064a\u062c\u0628 \u0623\u0646 \u0646\u0636\u0639 1 \u0641\u064a \u0645\u0643\u0627\u0646\u0647<\/strong> . \u0648\u0625\u0644\u0627 \u0641\u0625\u0646\u0646\u0627 \u0625\u0630\u0627 \u0644\u0645 \u0646\u0636\u0639 \u0634\u064a\u0626\u0627 \u0641\u064a \u0645\u0643\u0627\u0646\u0647\u060c \u0641\u0644\u0646 \u0646\u062d\u0635\u0644 \u0639\u0644\u0649 \u062a\u0639\u0628\u064a\u0631 \u0645\u0643\u0627\u0641\u0626. <\/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\/comment-extraire-ou-extraire-le-facteur-commun.jpg\" alt=\"\u0643\u064a\u0641\u064a\u0629 \u0627\u0633\u062a\u062e\u0631\u0627\u062c \u0623\u0648 \u0625\u064a\u062c\u0627\u062f \u0639\u0627\u0645\u0644 \u0645\u0634\u062a\u0631\u0643\" class=\"wp-image-1516\" width=\"284\" height=\"230\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0645\u062b\u0627\u0644 4<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0628\u0639\u0636 \u0627\u0644\u0623\u062d\u064a\u0627\u0646 \u0644\u0627 \u064a\u0643\u0648\u0646 \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0648\u0627\u0636\u062d\u064b\u0627 \u062c\u062f\u064b\u0627 \u0648\u0644\u0627 \u064a\u0643\u0648\u0646 \u0645\u0631\u0626\u064a\u064b\u0627 \u0628\u0634\u0643\u0644 \u0645\u0628\u0627\u0634\u0631\u060c \u0628\u0644 \u0647\u0648 <strong>\u0645\u0642\u0633\u0648\u0645 \u0639\u0644\u0649 \u0645\u0639\u0627\u0645\u0644\u0627\u062a<\/strong> \u0623\u062d\u0627\u062f\u064a\u0627\u062a \u0627\u0644\u062d\u062f. \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0641\u064a \u0627\u0644\u0645\u062b\u0627\u0644 \u0627\u0644\u062a\u0627\u0644\u064a \u0647\u0648 3\u060c \u062d\u064a\u062b \u0623\u0646 \u0627\u0644\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0639\u0627\u0645\u0644\u064a \u0644\u0644\u0639\u062f\u062f\u064a\u0646 6 \u06489 \u064a\u062d\u062a\u0648\u064a \u0639\u0644\u0649 3: <\/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\/le-plus-grand-facteur-commun.jpg\" alt=\"\u0627\u0644\u062d\u062f \u0627\u0644\u0623\u0642\u0635\u0649 \u0644\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643\" class=\"wp-image-1521\" width=\"235\" height=\"149\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u064a\u0633\u0645\u0649 \u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u0645\u0646 \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0641\u064a \u0628\u0639\u0636 \u0643\u062a\u0628 \u0627\u0644\u062c\u0628\u0631 <em>\u0628\u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0627\u0644\u0623\u0642\u0635\u0649<\/em> \u060c \u062d\u064a\u062b \u0623\u0646 \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0647\u0648 \u0641\u064a \u0646\u0641\u0633 \u0627\u0644\u0648\u0642\u062a \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0627\u0644\u0623\u0643\u0628\u0631 (GCD) \u0644\u0645\u0639\u0627\u0645\u0644\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0627 \u0648\u0635\u0644\u062a \u0625\u0644\u0649 \u0647\u0630\u0627 \u0627\u0644\u062d\u062f\u060c \u0641\u0647\u0630\u0627 \u064a\u0639\u0646\u064a \u0623\u0646\u0643 \u0631\u0628\u0645\u0627 \u062a\u0639\u0631\u0641 \u0628\u0627\u0644\u0641\u0639\u0644 \u0643\u064a\u0641\u064a\u0629 \u0625\u064a\u062c\u0627\u062f \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0644\u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f\u060c \u0648\u0647\u0648 \u0627\u0644\u0643\u0645\u0627\u0644. \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u0623\u0644\u0645 \u062a\u062a\u0633\u0627\u0621\u0644 <span style=\"text-decoration: underline;\">\u0645\u0627 \u0647\u0648 \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643\u061f<\/span> \u062d\u0633\u0646\u064b\u0627\u060c \u0623\u062d\u062f \u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0647\u0648 \u0623\u0646\u0647 \u064a\u062a\u0645 \u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0647 \u0644\u062a\u062d\u0644\u064a\u0644 \u0643\u062b\u064a\u0631\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f. \u0625\u0630\u0627 \u0643\u0646\u062a \u0644\u0627 \u062a\u0632\u0627\u0644 \u0644\u0627 \u062a\u0639\u0631\u0641 \u0645\u0627 \u0647\u0648\u060c \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0631\u0627\u0628\u0637 \u064a\u0645\u0643\u0646\u0643 \u0623\u0646 \u062a\u0631\u0649 \u0645\u0627 \u0647\u0648 <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<\/span><\/strong><\/a> \u0648\u0633\u0628\u0628 \u0623\u0647\u0645\u064a\u0629 \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0644\u0625\u062c\u0631\u0627\u0621 \u0647\u0630\u0647 \u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u0645\u062a\u0639\u062f\u062f\u0629 \u0627\u0644\u062d\u062f\u0648\u062f. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"Factor-comun-en-fracciones\"><\/span> \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0644\u0644\u0643\u0633\u0648\u0631<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0645\u0641\u064a\u062f \u062c\u062f\u064b\u0627 \u0623\u064a\u0636\u064b\u0627 \u0644\u062a\u0628\u0633\u064a\u0637 \u0627\u0644\u062d\u062f\u0648\u062f \u0625\u0644\u0649 \u0643\u0633\u0648\u0631 \u0630\u0627\u062a \u0643\u062b\u064a\u0631\u0627\u062a \u062d\u062f\u0648\u062f \u0641\u064a \u0627\u0644\u0628\u0633\u0637 \u0648\u0627\u0644\u0645\u0642\u0627\u0645.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0645\u0639\u0631\u0641\u0629 \u0643\u064a\u0641\u064a\u0629 \u0627\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643\u060c \u062f\u0639\u0648\u0646\u0627 \u0646\u0628\u0633\u0637 \u0627\u0644\u0643\u0633\u0631 \u0627\u0644\u062a\u0627\u0644\u064a \u0643\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-926e853d2437425b652f2c47844cf056_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{2x^2+4}{14x+8y}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"68\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u0648\u0644 \u0645\u0627 \u0639\u0644\u064a\u0646\u0627 \u0641\u0639\u0644\u0647 \u0647\u0648 \u0625\u064a\u062c\u0627\u062f \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0628\u064a\u0646 \u0628\u0633\u0637 \u0643\u062b\u064a\u0631 \u0627\u0644\u062d\u062f\u0648\u062f \u0648\u0645\u0642\u0627\u0645 \u0643\u062b\u064a\u0631 \u0627\u0644\u062d\u062f\u0648\u062f. \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629\u060c \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0628\u064a\u0646 \u0643\u062b\u064a\u0631\u062a\u064a \u0627\u0644\u062d\u062f\u0648\u062f \u0647\u0648 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-8dc50e00c20a758293d8d2dc74fb8f7c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{\\color{red} \\bm{2} \\color{black}\\cdot x^2+\\color{red} \\bm{2} \\color{black}\\cdot 2 }{\\color{red} \\bm{2} \\color{black}\\cdot 7x+\\color{red} \\bm{2} \\color{black} \\cdot 4y}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"235\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0622\u0646 \u062f\u0639\u0648\u0646\u0627 \u0646\u0633\u062a\u062e\u0631\u062c \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0628\u064a\u0646 \u0643\u062b\u064a\u0631\u062a\u064a \u0627\u0644\u062d\u062f\u0648\u062f:<\/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-e66d7e737e76389a6294c4ececffbbd0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{\\color{red} \\bm{2} \\color{black}\\left(x^2+2\\right)}{\\color{red} \\bm{2} \\color{black}\\left(7x+4y\\right)}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"151\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0645\u062c\u0631\u062f \u062d\u0635\u0648\u0644\u0646\u0627 \u0639\u0644\u0649 \u0639\u0627\u0645\u0644 \u0645\u0634\u062a\u0631\u0643 \u0644\u0643\u0644\u0627 \u0643\u062b\u064a\u0631\u062a\u064a \u0627\u0644\u062d\u062f\u0648\u062f\u060c <strong>\u0646\u062d\u062a\u0627\u062c \u0625\u0644\u0649 \u0625\u0632\u0627\u0644\u0629 \u0627\u0644\u0639\u0648\u0627\u0645\u0644 \u0627\u0644\u0645\u062a\u0643\u0631\u0631\u0629 \u0641\u064a \u0627\u0644\u0628\u0633\u0637 \u0648\u0627\u0644\u0645\u0642\u0627\u0645<\/strong> :<\/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-5bcc4a8a84c802f1510baebfc8f4f126_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{\\cancel{2}\\left(x^2+2\\right)}{ \\cancel{2}\\left(7x+4y\\right)}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"85\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0627\u0644\u062e\u062a\u0627\u0645\u060c \u0627\u0644\u0643\u0633\u0631 \u0627\u0644\u0645\u0628\u0633\u0637 \u0647\u0648: <\/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-f035f7e96fe7afd4c93cef5a93c249f3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{x^2+2}{7x+4y}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"59\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"Factor-comun-por-agrupacion\"><\/span> \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u062d\u0633\u0628 \u0627\u0644\u062a\u062c\u0645\u064a\u0639<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0625\u062d\u062f\u0649 \u0637\u0631\u0642 \u062a\u0642\u0644\u064a\u0644 \u062d\u062f\u0648\u062f \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0647\u064a \u0627\u0633\u062a\u062e\u062f\u0627\u0645 <strong>\u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0639\u0646 \u0637\u0631\u064a\u0642 \u062a\u062c\u0645\u064a\u0639 \u0627\u0644\u062d\u062f\u0648\u062f<\/strong> \u060c \u0648\u0627\u0644\u062a\u064a \u062a\u0633\u0645\u0649 \u0623\u064a\u0636\u064b\u0627 \u0627\u0633\u062a\u062e\u0631\u0627\u062c \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0627\u0644\u0645\u0632\u062f\u0648\u062c. \u0643\u0645\u0627 \u064a\u0648\u062d\u064a \u0627\u0633\u0645\u0647\u0627\u060c \u064a\u062a\u0643\u0648\u0646 \u0647\u0630\u0627 \u0627\u0644\u0625\u062c\u0631\u0627\u0621 \u0645\u0646 \u062a\u0628\u0633\u064a\u0637 \u062a\u0639\u0628\u064a\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0639\u0646 \u0637\u0631\u064a\u0642 \u062a\u062c\u0645\u064a\u0639 \u062d\u062f\u0648\u062f\u0647\u0627 \u0645\u0631\u062a\u064a\u0646.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0647\u0630\u0647 \u0627\u0644\u0637\u0631\u064a\u0642\u0629 \u0645\u0639\u0642\u062f\u0629 \u0628\u0639\u0636 \u0627\u0644\u0634\u064a\u0621\u060c \u0644\u0630\u0644\u0643 \u062f\u0639\u0648\u0646\u0627 \u0646\u0631\u0649 \u0643\u064a\u0641 \u064a\u062a\u0645 \u062a\u0637\u0628\u064a\u0642\u0647\u0627 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0645\u0639 \u0643\u062b\u064a\u0631 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062a\u0627\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-fb6a8ed826038a265d2b21c9d086a8ee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+2x+5x+10\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"139\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0646\u062d\u062a\u0627\u062c \u0623\u0648\u0644\u0627\u064b \u0625\u0644\u0649 \u062a\u062d\u062f\u064a\u062f \u0639\u0627\u0645\u0644\u064a\u0646 \u0645\u0634\u062a\u0631\u0643\u064a\u0646 \u0645\u062e\u062a\u0644\u0641\u064a\u0646\u060c \u0644\u0630\u0644\u0643 \u0646\u0642\u0648\u0645 \u0628\u0641\u0635\u0644 \u0643\u062b\u064a\u0631 \u0627\u0644\u062d\u062f\u0648\u062f \u0625\u0644\u0649 \u0642\u0633\u0645\u064a\u0646:<\/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-d9dfcd08553e61ba0be3791c055bd0ef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x^2+2x)+(5x+10)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"164\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629\u060c \u0627\u0644\u0639\u0646\u0635\u0631\u0627\u0646 x <sup>2<\/sup> \u06482x \u0644\u062f\u064a\u0647\u0645\u0627 \u0627\u0644\u062d\u0631\u0641 x \u0643\u0639\u0627\u0645\u0644 \u0645\u0634\u062a\u0631\u0643\u060c \u0648\u0627\u0644\u0645\u0635\u0637\u0644\u062d\u0627\u0646 5x \u064810 \u0644\u0647\u0645\u0627 5 \u0643\u0639\u0627\u0645\u0644 \u0645\u0634\u062a\u0631\u0643 (\u0646\u0638\u0631\u064b\u0627 \u0644\u0623\u0646 10 \u0645\u0646 \u0645\u0636\u0627\u0639\u0641\u0627\u062a \u0627\u0644\u0631\u0642\u0645 5). \u0644\u0630\u0644\u0643 \u0644\u062f\u064a\u0646\u0627 \u0647\u0630\u064a\u0646 \u0627\u0644\u0639\u0627\u0645\u0644\u064a\u0646 \u0627\u0644\u0645\u0634\u062a\u0631\u0643\u064a\u0646:<\/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-96393c2563ce4dcedade0d979a6ce9c1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x\\cdot x+2\\cdot x)+(5\\cdot x+5\\cdot 2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"218\" 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-859b9fdc443c61344efe64ea1c561565_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x(x+2)+5(x+2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"149\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0628\u0645\u0627 \u0623\u0646 \u0646\u0627\u062a\u062c\u064a \u0643\u062b\u064a\u0631\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0645\u062a\u0628\u0642\u064a\u064a\u0646 \u0644\u0647\u0645\u0627 \u0627\u0644\u0639\u0627\u0645\u0644 (x+2)\u060c \u0641\u064a\u0645\u0643\u0646\u0646\u0627 \u062a\u0628\u0633\u064a\u0637 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0639\u0644\u0649 \u0627\u0644\u0646\u062d\u0648 \u0627\u0644\u062a\u0627\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-730e68f7964706bfd88cdf23c0c7376f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x+2)\\cdot (x+5)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"120\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0643\u0645\u0627 \u062a\u0631\u0648\u0646\u060c \u0647\u0630\u0647 \u0627\u0644\u0637\u0631\u064a\u0642\u0629 \u0644\u064a\u0633\u062a \u0633\u0647\u0644\u0629 \u0639\u0644\u0649 \u0627\u0644\u0625\u0637\u0644\u0627\u0642. \u0644\u0630\u0644\u0643 \u0644\u0627 \u062a\u062a\u0631\u062f\u062f \u0641\u064a \u0637\u0631\u062d \u0623\u064a \u0623\u0633\u0626\u0644\u0629 \u0644\u062f\u064a\u0643 \u0641\u064a \u0627\u0644\u062a\u0639\u0644\u064a\u0642\u0627\u062a\u060c \u0648\u0633\u0648\u0641 \u0646\u0642\u0648\u0645 \u0628\u0627\u0644\u0631\u062f \u0639\u0644\u064a\u0647\u0627 \u0641\u064a \u0623\u0642\u0631\u0628 \u0648\u0642\u062a \u0645\u0645\u0643\u0646. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"Ejercicios-resueltos-paso-a-paso-de-factor-comun\"><\/span> \u062a\u0645\u0627\u0631\u064a\u0646 \u0627\u0644\u0639\u0648\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643\u0629 \u062a\u0645 \u062d\u0644\u0647\u0627 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0646\u062a\u0631\u0643 \u0644\u0643 \u0627\u0644\u0639\u062f\u064a\u062f \u0645\u0646 \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \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 \u0639\u0644\u0649 \u0627\u0633\u062a\u062e\u0631\u0627\u062c \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0645\u0646 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f.<\/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\"> \u0627\u0633\u062a\u062e\u0631\u062c \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0645\u0646 \u0643\u062b\u064a\u0631\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f \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-d0ebbf8633cd83e917eef6b61be195f5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 6a+6b\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"83\" 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-8e6c228a58b589aea75d96ac06489ce8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ 3x^2+8x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"93\" 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-6b2f716764369b8748180f11c2088405_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ 2x-4\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"75\" 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-4fe0000a9ab02d158e8e5c238614f2a1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ -5x^4+x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"113\" 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\"> <strong>\u0623)<\/strong> \u062c\u0645\u064a\u0639 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062a\u064a \u062a\u0634\u0643\u0644 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0623\u0648\u0644\u0649 \u0644\u0647\u0627 6\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0644\u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0647\u0648 6:<\/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-dcfc02b18324ae47e4f6161c02ed10a8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"6a+6b = 6\\cdot a + 6 \\cdot b = \\bm{6\\cdot (a+b)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"259\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> <strong>\u0628)<\/strong> \u0641\u064a \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062b\u0627\u0646\u064a\u0629\u060c \u062c\u0645\u064a\u0639 \u0639\u0646\u0627\u0635\u0631\u0647\u0627 \u062a\u062d\u062a\u0648\u064a \u0639\u0644\u0649 \u062d\u0631\u0641 \u0648\u0627\u062d\u062f \u0639\u0644\u0649 \u0627\u0644\u0623\u0642\u0644 x. \u0647\u0646\u0627 \u0647\u0648 \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0644\u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f:<\/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-d5397f749d2af52e3d25f47ac6763236_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3x^2+8x = 3x \\cdot x+8\\cdot x= \\bm{x\\cdot (3x+8)}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"296\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> <strong>\u062c)<\/strong> \u0645\u0646 \u0627\u0644\u0648\u0627\u0636\u062d \u0623\u0646 \u0623\u062d\u0627\u062f\u064a\u0629 \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u0648\u0644\u0649 \u0645\u0646 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0644\u0647\u0627 2\u060c \u0648\u0648\u062d\u064a\u062f\u0629 \u0627\u0644\u062d\u062f \u0627\u0644\u062b\u0627\u0646\u064a\u0629 \u0647\u064a \u0645\u0636\u0627\u0639\u0641 2. \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0644\u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0647\u0648 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-403fd331c25d97df08b1a6e265b874f7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x-4= 2\\cdot x - 2\\cdot 2 =\\bm{2\\cdot (x-2)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"256\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> <strong>\u062f)<\/strong> \u0641\u064a \u0643\u062b\u064a\u0631 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0623\u062e\u064a\u0631 \u062a\u0643\u0648\u0646 \u062c\u0645\u064a\u0639 \u0627\u0644\u0645\u062a\u063a\u064a\u0631\u0627\u062a \u0645\u0631\u0628\u0639\u0629 \u0639\u0644\u0649 \u0627\u0644\u0623\u0642\u0644. \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0647\u0648 x <sup>2<\/sup> :<\/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-9f5b04e6c70d455f570dea79a1caf289_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-5x^4+x^2= -5x^2\\cdot x^2 +1 \\cdot x^2 = \\bm{x^2\\cdot (-5x^2+1)}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"373\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u062a\u0630\u0643\u0631 \u0623\u0646\u0647 \u0639\u0646\u062f\u0645\u0627 \u064a\u0643\u0648\u0646 \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0645\u0637\u0627\u0628\u0642\u064b\u0627 \u0644\u0644\u062d\u062f\u060c \u064a\u062c\u0628 \u0648\u0636\u0639 1 \u0645\u0643\u0627\u0646\u0647.<\/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\"> \u062e\u0630 \u0628\u0639\u064a\u0646 \u0627\u0644\u0627\u0639\u062a\u0628\u0627\u0631 \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0644\u0645\u062a\u0639\u062f\u062f\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f \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-6e62899cc63709635736efb76c383ec0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 8x^2 + 10y^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"109\" 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-9c467706436dd57e76ccd016cd70110a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ 5x^3-2x^2+4x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"141\" 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-16d9856d9e0d050d484ce1def25a9757_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ 25x^5+15x^3-20\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"158\" 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-a03f69699de681226d47227124a68a5d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\  9x^4-3x^3-21x^2-6x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"199\" 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\"> <strong>\u0623)<\/strong> \u062c\u0645\u064a\u0639 \u0645\u0639\u0627\u0645\u0644\u0627\u062a \u0627\u0644\u0639\u0646\u0627\u0635\u0631 \u0627\u0644\u062a\u064a \u062a\u0634\u0643\u0644 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0623\u0648\u0644\u0649 \u0647\u064a \u0645\u0636\u0627\u0639\u0641\u0627\u062a \u0627\u0644\u0639\u062f\u062f 2\u060c \u0644\u0630\u0644\u0643 \u0628\u0627\u0633\u062a\u062e\u0631\u0627\u062c \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u062a\u0635\u0628\u062d \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f:<\/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-7862ee57cf098358e43d3b669e0cb54d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l} 8x^2 + 10y^3  = \\\\[2ex] = 2\\cdot 4x^2 +2\\cdot 5y^3 = \\\\[2ex] = \\bm{2\\left(4x^2+5y^3\\right)} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"154\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> <strong>\u0628)<\/strong> \u0641\u064a \u062c\u0645\u064a\u0639 \u062d\u062f\u0648\u062f \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u064a\u0648\u062c\u062f x \u0648\u0627\u062d\u062f \u0639\u0644\u0649 \u0627\u0644\u0623\u0642\u0644\u060c \u0648\u0628\u0627\u0644\u062a\u0627\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-39551a1ffc0b98f8b9c037fdcc793b01_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}5x^3-2x^2+4x = \\\\[2ex] = 5x^2\\cdot x-2x\\cdot x+4\\cdot x= \\\\[2ex] =\\bm{x\\left(5x^2-2x+4\\right)}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"203\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> <strong>\u062c)<\/strong> \u0627\u0644\u0642\u0627\u0633\u0645 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0627\u0644\u0623\u0643\u0628\u0631 \u0644\u0645\u0639\u0627\u0645\u0644\u0627\u062a \u062c\u0645\u064a\u0639 \u062d\u062f\u0648\u062f \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0647\u0648 5\u060c \u0628\u062d\u064a\u062b \u064a\u0643\u0648\u0646 \u0627\u0644\u0642\u0627\u0633\u0645 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0644\u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0645\u0630\u0643\u0648\u0631\u0629 \u0647\u0648 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-fe8cc019c3511734ff278f68c44066df_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}25x^5+15x^3-20 = \\\\[2ex] =5\\cdot 5x^5+5\\cdot 3x^3-5\\cdot 4 = \\\\[2ex] = \\bm{5\\left(5x^5+3x^3-4\\right)}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"207\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> <strong>\u062f)<\/strong> \u062c\u0645\u064a\u0639 \u0627\u0644\u062d\u062f\u0648\u062f \u0641\u064a \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0644\u0647\u0627 x \u0648\u0627\u062d\u062f \u0639\u0644\u0649 \u0627\u0644\u0623\u0642\u0644\u060c \u0639\u0644\u0627\u0648\u0629 \u0639\u0644\u0649 \u0630\u0644\u0643\u060c \u062c\u0645\u064a\u0639 \u0627\u0644\u0645\u0639\u0627\u0645\u0644\u0627\u062a \u0647\u064a \u0645\u0636\u0627\u0639\u0641\u0627\u062a 3. \u0644\u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0644\u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0647\u0648 3x: <\/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-fb70701f39b1050eec730f1591671293_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}9x^4-3x^3-21x^2-6x = \\\\[2ex] = 3x^3\\cdot 3x-x^2\\cdot 3x-7x\\cdot 3x-2\\cdot 3x= \\\\[2ex] = \\bm{3x\\left(3x^3-x^2-7x-2 \\right)}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"301\" 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\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0644\u0643\u0644 \u0645\u0646 \u0643\u062b\u064a\u0631\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0648\u0627\u0637\u0631\u062d\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-1d40bfaef04f667f19afd89bed2c5c6b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 4a^2b^5+7a^4b^3-10a^6b^4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"202\" 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-be1557edebbdaa17ea43aa69cf14a8c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ 16x^4y^7z+8x^2y^2z^2+ 24x^3y^5\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"243\" 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-d493a7783ca2a21e55e60bcf2af7748d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ 6ab^2c^4-6ab^2c+12a^3b^2c\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"217\" 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-d2cc5c9bbb43ac4387ad806fefc4d643_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\  18x^2y+10xy-5xy^3+4z\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"227\" 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\"> <strong>\u0623)<\/strong> \u062c\u0645\u064a\u0639 \u0623\u062d\u0627\u062f\u064a\u0627\u062a \u0627\u0644\u062d\u062f \u062a\u062d\u062a\u0648\u064a \u0639\u0644\u0649 \u0627\u0644\u062d\u0631\u0641 \u0639\u0644\u0649 \u0627\u0644\u0623\u0642\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-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> \u062a\u0631\u0628\u064a\u0639 \u0648\u0627\u0644\u062d\u0631\u0641<\/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\u0643\u0639\u0628\u0629\u060c \u0641\u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0647\u0648<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f369f018d950bc237c46322c9b05d60b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^2b^3:\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"41\" 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-b622844f35f4bd4411c545c352331943_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l} 4a^2b^5+7a^4b^3-10a^6b^4 = \\\\[2ex] = 4b^2\\cdot a^2b^3+7a^2\\cdot a^2b^3-10a^4b\\cdot a^2b^3 = \\\\[2ex] = \\bm{a^2b^3\\left(4b^2+7a^2-10a^4b\\right)} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"308\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> <strong>\u0628)<\/strong> \u062c\u0645\u064a\u0639 \u0645\u0639\u0627\u0645\u0644\u0627\u062a \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0647\u064a \u0645\u0636\u0627\u0639\u0641\u0627\u062a 8\u060c \u0639\u0644\u0627\u0648\u0629 \u0639\u0644\u0649 \u0630\u0644\u0643\u060c \u0641\u0647\u064a \u062a\u062d\u062a\u0648\u064a \u0639\u0644\u0649 \u0627\u0644\u0623\u0642\u0644 \u0639\u0644\u0649 x <sup>2<\/sup> \u0648y <sup>2<\/sup> \u0643\u0623\u062c\u0632\u0627\u0621 \u062d\u0631\u0641\u064a\u0629. \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0644\u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0647\u0648 8x <sup>2<\/sup> y <sup>2<\/sup> .<\/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-2d7018f427d800f6db67335a4d4f238b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}16x^4y^7z+8x^2y^2z^2+ 24x^3y^5 = \\\\[2ex] = 2x^2y^5z \\cdot 8x^2y^2 +z^2\\cdot 8x^2y^2+ 3xy^3\\cdot 8x^2y^2= \\\\[2ex] =\\bm{8x^2y^2\\left(2x^2y^5z+z^2+3xy^3\\right)}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"355\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> <strong>\u062c)<\/strong> \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629\u060c \u064a\u062a\u0637\u0627\u0628\u0642 \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0645\u0639 \u0642\u064a\u0645\u0629 \u0623\u062d\u0627\u062f\u064a\u0629 \u0627\u0644\u062d\u062f \u0627\u0644\u0648\u0633\u064a\u0637\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-57647d998c69941eadc01ee28cf3e5cf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(6ab^2c\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"54\" style=\"vertical-align: -7px;\"><\/p>\n<p> \u060c \u0644\u0623\u0646 \u0645\u0639\u0627\u0645\u0644\u0627\u062a \u0648\u062d\u064a\u062f\u0627\u062a \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u062e\u0631\u0649 \u0647\u064a \u0645\u0636\u0627\u0639\u0641\u0627\u062a<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b5c3e12330dabaeec7413281aba0f134_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"6\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0648\u0639\u0644\u0649 \u0627\u0644\u0627\u0637\u0644\u0627\u0642 \u0627\u0644\u062c\u0645\u064a\u0639<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4302e041ad21bfe7a384223fd3d35f1c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"ab^2c:\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"41\" 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-76f91563726822a51c7bfe88aa461e6d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}6ab^2c^4-6ab^2c+12a^3b^2c = \\\\[2ex] =c^3\\cdot 6ab^2c -1\\cdot 6ab^2c+2a^2 \\cdot 6ab^2c = \\\\[2ex] = \\bm{6ab^2c\\left(c^3-1+2a^2\\right)}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"292\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> <strong>\u062f)<\/strong> \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629 \u0628\u0627\u0644\u0630\u0627\u062a\u060c \u0644\u064a\u0633 \u0644\u062f\u0649 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0639\u0627\u0645\u0644 \u0645\u0634\u062a\u0631\u0643\u060c \u062d\u064a\u062b \u0644\u0627 \u064a\u0648\u062c\u062f \u0639\u0627\u0645\u0644 \u0645\u062a\u0643\u0631\u0631 \u0641\u064a \u062c\u0645\u064a\u0639 \u062d\u062f\u0648\u062f \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f. \u0644\u0630\u0644\u0643\u060c \u0644\u0627 \u064a\u0645\u0643\u0646 \u062a\u0628\u0633\u064a\u0637 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0645\u062a\u0639\u062f\u062f \u0627\u0644\u062d\u062f\u0648\u062f \u062c\u0628\u0631\u064a\u064b\u0627. <\/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-3c58c3237bfa4a57d2e87d36b1eebab0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"18x^2y+10xy-5xy^3+4z\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"200\" style=\"vertical-align: -4px;\"><\/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 4<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0633\u0651\u0637 \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0628\u0623\u062e\u0630 \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643: <\/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-73e11e8ebb8c064d2981506461d693c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\cfrac{10x^2+30}{5x-20}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"103\" style=\"vertical-align: -12px;\"><\/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-401feeca45cc41913c5e9f64d2821535_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\cfrac{16x^2-8}{24x-32}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"95\" style=\"vertical-align: -12px;\"><\/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-b4354346c86ff374869cc9a6029bbcdc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\cfrac{49x^3+7x}{35x^2-14}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"105\" style=\"vertical-align: -12px;\"><\/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-4221a799a5650e5afdab728cb2797be9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\  \\cfrac{8x^4+16x^3-4x^2}{12x^2+20x}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"161\" style=\"vertical-align: -14px;\"><\/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\"> \u0625\u062c\u0631\u0627\u0621 \u062a\u0628\u0633\u064a\u0637 \u0627\u0644\u0643\u0633\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u060c \u0623\u064a \u0627\u0644\u0643\u0633\u0631 \u0645\u062a\u0639\u062f\u062f \u0627\u0644\u062d\u062f\u0648\u062f\u060c \u0647\u0648 \u0627\u0633\u062a\u062e\u0631\u0627\u062c \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0645\u0646 \u0628\u0633\u0637 \u0648\u0645\u0642\u0627\u0645 \u0627\u0644\u0643\u0633\u0631\u060c \u062b\u0645 \u062d\u0630\u0641 \u0627\u0644\u0639\u0648\u0627\u0645\u0644 \u0627\u0644\u062a\u064a \u062a\u062a\u0643\u0631\u0631 \u0623\u0639\u0644\u0627\u0647 \u0648\u0623\u062f\u0646\u0627\u0647. \u062a\u062d\u062a \u0627\u0644\u0643\u0633\u0631. \u0644\u0630\u0627: <\/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-6ce28a7207aa3bccea5a8afae54c8ad5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\quad \\begin{array}{l} \\cfrac{10x^2+30}{5x-20}=  \\cfrac{5\\cdot 2x^2 +5\\cdot 6}{5\\cdot x-5\\cdot 4} = \\\\[4ex] = \\cfrac{5(2x^2+6)}{5(x-4)}= \\cfrac{\\cancel{5}(2x^2+6)}{\\cancel{5}(x-4)} = \\\\[4ex] = \\cfrac{\\bm{2x^2+6}}{\\bm{x-4}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"173\" width=\"276\" 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-a6024cf2af6c13d0d27f7e5d3e675362_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\quad \\begin{array}{l} \\cfrac{16x^2-8}{24x-32} = \\cfrac{8 \\cdot 2x^2+8 \\cdot (-1)}{8 \\cdot 3x-8 \\cdot 4} =\\\\[4ex] = \\cfrac{8(2x^2-1)}{8(3x-4)}= \\cfrac{\\cancel{8}(2x^2-1)}{\\cancel{8}(3x-4)} =\\\\[4ex] = \\cfrac{\\bm{2x^2-1}}{\\bm{3x-4}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"173\" width=\"292\" 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-5678b7c6d631a693a86fad40aa79d030_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\quad \\begin{array}{l}\\cfrac{49x^3+7x}{35x^2-14}=\\cfrac{7x\\cdot 7x^2+7x\\cdot 1}{7 \\cdot 5x^2+7\\cdot (-2)} =\\\\[4ex] = \\cfrac{7x(7x^2+1)}{7(5x^2-2)}= \\cfrac{\\cancel{7}x(7x^2+1)}{\\cancel{7}(5x^2-2)}=\\\\[4ex] = \\cfrac{\\bm{x(7x^2+1)}}{\\bm{5x^2-2}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"173\" width=\"301\" 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-82199184b3594c18db6888c58fa0bdfc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\quad \\begin{array}{l} \\cfrac{8x^4+16x^3-4x^2}{12x^2+20x}=\\cfrac{4x^2\\cdot 2x^2+4x^2\\cdot 4x+4x^2\\cdot (-1)}{4x\\cdot 3x+4x\\cdot 5}=\\\\[4ex] = \\cfrac{4x^2(2x^2+4x-1)}{4x(3x+5)}= \\cfrac{\\cancel{4}x^{\\cancel{2}}(2x^2+4x-1)}{\\cancel{4}\\cancel{x}(3x+5)}=\\\\[4ex] = \\cfrac{\\bm{x(2x^2+4x-1)}}{\\bm{3x+5}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"175\" width=\"474\" 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 5<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u062e\u0630 \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0644\u0644\u062a\u0639\u0628\u064a\u0631\u0627\u062a \u0645\u062a\u0639\u062f\u062f\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \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-8e5c91e0867615671956c23daf199f56_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\cfrac{7}{3}x^2+ \\cfrac{8}{3}x-\\cfrac{2}{3}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"130\" style=\"vertical-align: -12px;\"><\/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-861358103d4265a73b6bf2c12a5c315d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\sqrt{12x^3+16}\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"115\" 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-592bb1e112ee966a6c8266f8453176d5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ x^2+4x-3x-12\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"163\" 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-6ea1c6302c0ee60f46718b42a2741bf3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\  \\cfrac{3}{4}x^2+ \\cfrac{1}{2}x-\\cfrac{5}{6}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"130\" style=\"vertical-align: -12px;\"><\/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\"> <strong>\u0623)<\/strong> \u062c\u0645\u064a\u0639 \u062d\u062f\u0648\u062f \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u064a\u0645\u0643\u0646 \u062a\u062d\u0644\u064a\u0644\u0647\u0627 \u0625\u0644\u0649 \u0627\u0644\u062b\u0627\u0644\u062b\u060c \u0648\u0628\u0627\u0644\u062a\u0627\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-66174ecc5c7264ae95507f632d1f2630_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l} \\cfrac{7}{3}x^2+ \\cfrac{8}{3}x-\\cfrac{2}{3}= \\\\[3ex] = \\cfrac{1}{3}\\cdot 7x^2+ \\cfrac{1}{3}\\cdot 8x-\\cfrac{1}{3}\\cdot 2 = \\\\[3ex] = \\mathbf{\\cfrac{1}{3}}\\bm{\\left(7x^2+8x-2\\right)} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"156\" width=\"205\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> <strong>\u0628)<\/strong> \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0644\u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u062f\u0627\u062e\u0644 \u0627\u0644\u062c\u0630\u0631 \u0647\u0648 4\u060c \u0644\u0643\u0646 \u064a\u0645\u0643\u0646\u0646\u0627 \u0628\u0639\u062f \u0630\u0644\u0643 \u0625\u062e\u0631\u0627\u062c \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0639\u0646 \u0637\u0631\u064a\u0642 \u062d\u0633\u0627\u0628 \u062c\u0630\u0631\u0647 \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-3a362644fe5b22fefc962f164db26f5e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}\\sqrt{12x^3+16}= \\\\[2ex] =\\sqrt{4\\cdot 3x^3+4\\cdot 4}= \\\\[2ex]=\\sqrt{4\\left(3x^3+4\\right)}= \\\\[2ex] =\\bm{2\\sqrt{3x^3+4}}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"133\" width=\"152\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> <strong>\u062c)<\/strong> \u0641\u064a \u0643\u062b\u064a\u0631 \u0627\u0644\u062d\u062f\u0648\u062f \u0647\u0630\u0627 \u064a\u0645\u0643\u0646\u0646\u0627 \u062a\u0637\u0628\u064a\u0642 \u0639\u0645\u0644\u064a\u0629 \u0627\u0633\u062a\u062e\u0631\u0627\u062c \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0639\u0646 \u0637\u0631\u064a\u0642 \u0627\u0644\u062a\u062c\u0645\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-fd43d5f40797c39b0401769ff392d9e5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}x^2+4x-3x-12= \\\\[2ex] =x(x+4)-3(x+4) = \\\\[2ex] = \\bm{(x+4)(x-3)}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"95\" width=\"186\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> <strong>\u062f)<\/strong> \u062c\u0645\u064a\u0639 \u0627\u0644\u0645\u0639\u0627\u0645\u0644\u0627\u062a \u0627\u0644\u0643\u0633\u0631\u064a\u0629 \u0644\u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0647\u064a \u0645\u0636\u0627\u0639\u0641\u0627\u062a \u0627\u0644\u0646\u0635\u0641\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0644\u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0647\u0648 \u00bd. <\/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-a35ab3db2e1f1197d6652e6d4d0a8a8a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}\\displaystyle \\frac{3}{4}x^2+ \\frac{1}{2}x-\\frac{5}{6}= \\\\[4ex] \\displaystyle = \\frac{1}{2}\\cdot\\frac{3}{2}x^2+ \\frac{1}{2}\\cdot x-\\frac{1}{2}\\cdot\\frac{5}{3}= \\\\[4ex] \\displaystyle = \\mathbf{\\frac{1}{2}}\\bm{\\left(}\\mathbf{\\frac{3}{2}}\\bm{x^2+x-}\\mathbf{\\frac{5}{3}} \\bm{\\right)}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"166\" width=\"210\" 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<p style=\";text-align:right;direction:rtl\"> \ud83d\udc47\ud83d\udc47\ud83d\udc47 \u0645\u0627 \u0631\u0623\u064a\u0643 \u0641\u064a \u0627\u0644\u0634\u0631\u062d\u061f \u0647\u0644 \u0623\u062d\u0628\u0628\u062a\u0647\u0627\u061f \u0648\u062a\u0630\u0643\u0631 \u0623\u064a\u0636\u064b\u0627 \u0623\u0646\u0647 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0644\u062f\u064a\u0643 \u0623\u064a \u0623\u0633\u0626\u0644\u0629 \u062d\u0648\u0644 \u0643\u064a\u0641\u064a\u0629 \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0644\u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0623\u0648 \u0625\u0630\u0627 \u0644\u0645 \u062a\u0641\u0647\u0645 \u0623\u062d\u062f \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646\u060c \u064a\u0645\u0643\u0646\u0643 \u062f\u0627\u0626\u0645\u064b\u0627 \u0637\u0631\u062d\u0647\u0627 \u0639\u0644\u064a\u0646\u0627 \u0641\u064a \u0627\u0644\u062a\u0639\u0644\u064a\u0642\u0627\u062a\u060c \u0648\u0633\u0646\u0642\u0648\u0645 \u0628\u0627\u0644\u0631\u062f \u0639\u0644\u064a\u0643. \ud83d\udc47\ud83d\udc47\ud83d\udc47<\/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>\u0646\u0634\u0631\u062d \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062d\u0629 \u0643\u064a\u0641\u064a\u0629 \u0623\u062e\u0630 (\u0623\u0648 \u0627\u0633\u062a\u062e\u0631\u0627\u062c) \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0644\u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f. \u0633\u062a\u062c\u062f \u0647\u0646\u0627 \u0627\u0644\u0623\u0646\u0648\u0627\u0639 \u0627\u0644\u0645\u062e\u062a\u0644\u0641\u0629 \u0644\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0648\u0633\u062a\u0643\u0648\u0646 \u0642\u0627\u062f\u0631\u064b\u0627 \u0639\u0644\u0649 \u0631\u0624\u064a\u0629 \u0639\u062f\u0629 \u0623\u0645\u062b\u0644\u0629 \u0644\u0643\u064a\u0641\u064a\u0629 \u062a\u062d\u0642\u064a\u0642 \u0630\u0644\u0643. \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u064a\u0645\u0643\u0646\u0643 \u0627\u0644\u062a\u062f\u0631\u0628 \u0645\u0639 \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u0627\u0644\u062a\u064a \u062a\u0645 \u062d\u0644\u0647\u0627 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629. \u0645\u0627 \u0647\u0648 \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643\u061f \u0641\u064a \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a\u060c \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 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