{"id":335,"date":"2023-07-06T06:31:47","date_gmt":"2023-07-06T06:31:47","guid":{"rendered":"https:\/\/mathority.org\/ar\/%d9%85%d9%83%d8%b9%d8%a8-%d8%b0%d9%88-%d8%a7%d9%84%d8%ad%d8%af%d9%8a%d9%86\/"},"modified":"2023-07-06T06:31:47","modified_gmt":"2023-07-06T06:31:47","slug":"%d9%85%d9%83%d8%b9%d8%a8-%d8%b0%d9%88-%d8%a7%d9%84%d8%ad%d8%af%d9%8a%d9%86","status":"publish","type":"post","link":"https:\/\/mathority.org\/ar\/%d9%85%d9%83%d8%b9%d8%a8-%d8%b0%d9%88-%d8%a7%d9%84%d8%ad%d8%af%d9%8a%d9%86\/","title":{"rendered":"\u0645\u0643\u0639\u0628 \u0630\u0648 \u0627\u0644\u062d\u062f\u064a\u0646"},"content":{"rendered":"<p style=\";text-align:right;direction:rtl\">\u0633\u062a\u062c\u062f \u0647\u0646\u0627 \u0634\u0631\u062d\u064b\u0627 \u0644\u062d\u0644 \u0627\u0644\u0645\u0646\u062a\u062c \u0627\u0644\u0628\u0627\u0631\u0632 \u0644\u0644\u0645\u0643\u0639\u0628 \u0630\u064a \u0627\u0644\u062d\u062f\u064a\u0646 (\u0627\u0644\u0635\u064a\u063a\u0629)\u060c \u0625\u0645\u0627 (a+b) <sup>3<\/sup> \u0623\u0648 (ab) <sup>3<\/sup> . \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0631\u0624\u064a\u0629 \u0627\u0644\u0623\u0645\u062b\u0644\u0629 \u0648\u0627\u0644\u062a\u062f\u0631\u064a\u0628\u0627\u062a \u0627\u0644\u062a\u064a \u062a\u0645 \u062d\u0644\u0647\u0627 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0645\u0646 \u0630\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646 \u0625\u0644\u0649 \u0627\u0644\u0645\u0643\u0639\u0628. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-un-binomio-al-cubo\"><\/span> \u0645\u0627 \u0647\u0648 \u0630\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646 \u0645\u0643\u0639\u0628\u061f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0630\u0627\u062a <strong>\u0627\u0644\u062d\u062f\u064a\u0646 \u0627\u0644\u0645\u0643\u0639\u0628<\/strong> \u0647\u064a \u0643\u062b\u064a\u0631\u0629 \u062d\u062f\u0648\u062f \u0645\u0643\u0648\u0646\u0629 \u0645\u0646 \u062d\u062f\u064a\u0646 \u0645\u0631\u0641\u0648\u0639\u062a\u064a\u0646 \u0644\u0644\u0642\u0648\u0629 3. \u0648\u0628\u0646\u0627\u0621\u064b \u0639\u0644\u0649 \u0630\u0644\u0643\u060c \u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u0643\u0648\u0646 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0627\u0644\u062c\u0628\u0631\u064a \u0630\u0648 \u0627\u0644\u062d\u062f\u064a\u0646 \u0627\u0644\u0645\u0643\u0639\u0628 \u0647\u0648 <strong>(a+b) <sup>3<\/sup><\/strong> \u0623\u0648 <strong>(ab) <sup>3<\/sup><\/strong> \u0627\u0639\u062a\u0645\u0627\u062f\u064b\u0627 \u0639\u0644\u0649 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0646\u0627 \u0646\u0636\u064a\u0641 \u0623\u0648 \u0646\u0637\u0631\u062d \u0623\u062d\u0627\u062f\u064a\u0627\u062a \u0627\u0644\u062d\u062f \u0627\u0644\u062e\u0627\u0635\u0629 \u0628\u0647\u0627.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0630\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646 \u0627\u0644\u0645\u0643\u0639\u0628 \u0647\u064a \u0625\u062d\u062f\u0649 \u0627\u0644\u0647\u0648\u064a\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). \u0628\u062a\u0639\u0628\u064a\u0631 \u0623\u062f\u0642\u060c \u0641\u0647\u0648 \u064a\u062a\u0648\u0627\u0641\u0642 \u0645\u0639 \u0625\u062d\u062f\u0649 <strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ar\/\u0627\u0644\u0647\u0648\u064a\u0627\u062a-\u0627\u0644\u0645\u0646\u062a\u062c\u0627\u062a-\u0627\u0644\u0645\u0633\u0627\u0648\u0627\u0629-\u0627\u0644\u0628\u0627\u0631\u0632\u0629-\u062a\u0645\u0627\u0631\u064a\u0646-\u0645\u062d\u0644\u0648\u0644\u0629\/\">\u0627\u0644\u0647\u0648\u064a\u0627\u062a \u0627\u0644\u0628\u0627\u0631\u0632\u0629 \u0644\u0644\u0645\u0643\u0639\u0628<\/a><\/span><\/strong> (\u0623\u0648 \u0627\u0644\u0645\u0643\u0639\u0628). <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"Formula-del-binomio-al-cubo\"><\/span> \u0635\u064a\u063a\u0629 \u0645\u0643\u0639\u0628 \u0630\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0643\u0645\u0627 \u0631\u0623\u064a\u0646\u0627 \u0641\u064a \u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u0645\u0643\u0639\u0628 \u0630\u064a \u0627\u0644\u062d\u062f\u064a\u0646\u060c \u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u0645\u0646 \u0627\u0644\u0647\u0648\u064a\u0629 \u0627\u0644\u0628\u0627\u0631\u0632\u0629 \u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u062a\u0643\u0648\u0646 \u0645\u0646 \u0627\u0644\u062c\u0645\u0639 \u0623\u0648 \u0627\u0644\u0637\u0631\u062d. \u0648\u0644\u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0627\u0644\u0635\u064a\u063a\u0629 \u062a\u062e\u062a\u0644\u0641 \u0642\u0644\u064a\u0644\u0627 \u0627\u0639\u062a\u0645\u0627\u062f\u0627 \u0639\u0644\u0649 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0630\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646 \u0645\u0648\u062c\u0628\u0629 \u0623\u0648 \u0630\u0627\u062a \u062d\u062f\u064a\u0646 \u0633\u0627\u0644\u0628\u0629\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0633\u0646\u0631\u0649 \u0643\u0644 \u062d\u0627\u0644\u0629 \u0639\u0644\u0649 \u062d\u062f\u0629.<\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"Cubo-de-una-suma\"><\/span> \u0645\u0643\u0639\u0628 \u0645\u0646 \u0627\u0644\u0645\u0628\u0644\u063a<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0639\u0646\u062f\u0645\u0627 \u064a\u0643\u0648\u0646 \u0627\u0644\u0645\u062c\u0645\u0648\u0639 \u0645\u0643\u0639\u0628\u064b\u0627\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u062d\u0633\u0627\u0628\u0647 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0635\u064a\u063a\u0629 \u0645\u0643\u0639\u0628 \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\/binome-dune-somme-ou-somme-au-cube-formule.png\" alt=\"\u0630\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646 \u0645\u0646 \u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u0628\u0644\u063a \u0627\u0644\u0645\u0643\u0639\u0628\" class=\"wp-image-2810\" width=\"286\" height=\"286\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u062d\u064a\u062b \u064a\u0643\u0648\u0646 \u0645\u0643\u0639\u0628 \u0630\u0648 \u0627\u0644\u062d\u062f\u064a\u0646 (\u0627\u0644\u062c\u0645\u0639) \u064a\u0633\u0627\u0648\u064a \u0645\u0643\u0639\u0628 \u0627\u0644\u0623\u0648\u0644\u060c \u0632\u0627\u0626\u062f \u062b\u0644\u0627\u062b\u064a \u0645\u0631\u0628\u0639 \u0627\u0644\u0623\u0648\u0644 \u0641\u064a \u0627\u0644\u062b\u0627\u0646\u064a\u060c \u0632\u0627\u0626\u062f \u062b\u0644\u0627\u062b\u064a \u0627\u0644\u0623\u0648\u0644 \u0641\u064a \u0645\u0631\u0628\u0639 \u0627\u0644\u062b\u0627\u0646\u064a\u060c \u0632\u0627\u0626\u062f \u0645\u0643\u0639\u0628 \u0627\u0644\u062b\u0627\u0646\u064a.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0647\u0646\u0627\u0643 \u0637\u0631\u064a\u0642\u0629 \u0623\u062e\u0631\u0649 \u0644\u062d\u0633\u0627\u0628 \u0645\u0643\u0639\u0628 \u0630\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646 \u0648\u0647\u064a \u0630\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646 \u0644\u0646\u064a\u0648\u062a\u0646 (\u0623\u0648 \u0646\u0638\u0631\u064a\u0629 \u0630\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646). \u0646\u062a\u0631\u0643 \u0644\u0643\u0645 \u0627\u0644\u0631\u0627\u0628\u0637 \u0627\u0644\u062a\u0627\u0644\u064a \u0645\u0639 \u0634\u0631\u062d \u0647\u0630\u0647 \u0627\u0644\u0646\u0638\u0631\u064a\u0629 \u0644\u0623\u0646\u0647 \u0645\u0646 \u0627\u0644\u0645\u0641\u064a\u062f \u062c\u062f\u0627\u064b \u0645\u0639\u0631\u0641\u0629 \u0647\u0630\u0647 \u0627\u0644\u0635\u064a\u063a\u0629\u060c \u0641\u0647\u064a \u0644\u0627 \u062a\u0635\u0644\u062d \u0641\u0642\u0637 \u0644\u0642\u0648\u0649 \u0630\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646 \u0645\u0646 \u0627\u0644\u062f\u0631\u062c\u0629 \u0627\u0644\u062b\u0627\u0644\u062b\u0629\u060c \u0628\u0644 \u0623\u064a\u0636\u0627\u064b \u0644\u0644\u0623\u0633\u0633 \u0627\u0644\u0623\u0639\u0644\u0649. \u0644\u0630\u0627 \u0627\u0646\u0642\u0631 \u0639\u0644\u0649 \u0647\u0630\u0627 \u0627\u0644\u0631\u0627\u0628\u0637 \u0644\u062a\u0643\u062a\u0634\u0641 \u0648\u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0627\u0644\u062a\u062f\u0631\u0628 \u0639\u0644\u0649 <strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ar\/\u0635\u064a\u063a\u0629-\u0630\u0627\u062a-\u0627\u0644\u062d\u062f\u064a\u0646-\u0627\u0654\u0648-\u0646\u0638\u0631\u064a\u0629-\u0630\u0627\u062a-\u0627\u0644\u062d\u062f\u064a\u0646-\u0644\u0646\u064a\u0648\u062a\u0646-\u0648\u062a\u0645\u0627\u0631\u064a\u0646-\u0645\u062d\u0644\u0648\u0644\u0629\/\">\u062d\u0644 \u062a\u0645\u0627\u0631\u064a\u0646 \u0646\u064a\u0648\u062a\u0646 \u0630\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646<\/a><\/span><\/strong> .<\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"Cubo-de-una-diferencia\"><\/span> \u0645\u0643\u0639\u0628 \u0627\u0644\u0641\u0631\u0642<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u0625\u0630\u0627 \u0643\u0627\u0646 \u0644\u062f\u064a\u0646\u0627 \u0641\u0631\u0642 (\u0623\u0648 \u0637\u0631\u062d) \u0645\u0631\u0641\u0648\u0639 \u0625\u0644\u0649 \u0627\u0644\u0645\u0643\u0639\u0628 \u0628\u062f\u0644\u0627\u064b \u0645\u0646 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u060c \u0641\u0625\u0646 \u0635\u064a\u063a\u0629 \u0630\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646 \u0625\u0644\u0649 \u0627\u0644\u0645\u0643\u0639\u0628 \u062a\u062a\u063a\u064a\u0631 \u0641\u064a \u0625\u0634\u0627\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0632\u0648\u062c\u064a\u0629: <\/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\/binome-dune-soustraction-de-difference-de-la-formule-du-cube.png\" alt=\"\u0630\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646 \u0644\u0644\u0641\u0631\u0642 \u0623\u0648 \u0627\u0644\u0637\u0631\u062d \u0641\u064a \u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u0643\u0639\u0628\" class=\"wp-image-2811\" width=\"286\" height=\"286\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0644\u0643\u060c \u0645\u0643\u0639\u0628 \u0630\u0648 \u0627\u0644\u062d\u062f\u064a\u0646 (\u0627\u0644\u0637\u0631\u062d) \u064a\u0633\u0627\u0648\u064a \u0645\u0643\u0639\u0628 \u0627\u0644\u0623\u0648\u0644\u060c \u0646\u0627\u0642\u0635 \u062b\u0644\u0627\u062b\u0629 \u0623\u0636\u0639\u0627\u0641 \u0645\u0631\u0628\u0639 \u0627\u0644\u0623\u0648\u0644 \u0639\u0644\u0649 \u0627\u0644\u062b\u0627\u0646\u064a\u060c \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u062b\u0644\u0627\u062b\u0629 \u0623\u0636\u0639\u0627\u0641 \u0627\u0644\u0623\u0648\u0644 \u0625\u0644\u0649 \u0645\u0631\u0628\u0639 \u0627\u0644\u062b\u0627\u0646\u064a\u060c \u0646\u0627\u0642\u0635 \u0645\u0643\u0639\u0628 \u0627\u0644\u062b\u0627\u0646\u064a.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0641\u0625\u0646 \u0627\u0644\u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u0648\u062d\u064a\u062f\u0629 \u0627\u0644\u062a\u064a \u062a\u062e\u062a\u0644\u0641 \u0628\u0647\u0627 \u0635\u064a\u063a \u0645\u0643\u0639\u0628 \u0627\u0644\u0645\u062c\u0645\u0648\u0639 \u0648\u0645\u0643\u0639\u0628 \u0627\u0644\u0641\u0631\u0642 \u0647\u064a \u0641\u064a \u0639\u0644\u0627\u0645\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646 \u0627\u0644\u062b\u0627\u0646\u064a \u0648\u0627\u0644\u0631\u0627\u0628\u0639\u060c \u062d\u064a\u062b \u0623\u0646\u0647 \u0641\u064a \u0630\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646 \u064a\u0643\u0648\u0646 \u0643\u0644 \u0634\u064a\u0621 \u0645\u0648\u062c\u0628\u064b\u0627\u060c \u0648\u0639\u0644\u0649 \u0627\u0644\u0639\u0643\u0633 \u0645\u0646 \u0630\u0644\u0643\u060c \u0641\u064a \u0630\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646 \u0644\u0644\u0637\u0631\u062d \u0643\u0644\u0627\u0647\u0645\u0627 \u0633\u0644\u0628\u064a.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0642\u062f \u0631\u0623\u064a\u0646\u0627 \u0644\u0644\u062a\u0648 \u0645\u0627 \u0647\u0648 \u0645\u062c\u0645\u0648\u0639 \u0630\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646 \u0648\u0627\u0644\u0641\u0631\u0642 \u0628\u064a\u0646 \u0627\u0644\u062d\u062f\u064a\u0646. \u062d\u0633\u0646\u064b\u0627\u060c \u064a\u062c\u0628 \u0623\u0646 \u062a\u0639\u0644\u0645 \u0623\u0646 <strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ar\/\u0635\u064a\u063a\u0629-\u0644\u0645\u0646\u062a\u062c-\u0627\u0644\u0645\u0628\u0644\u063a-\u0628\u0627\u0644\u0641\u0631\u0642\/\">\u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0641\u0631\u0642<\/a><\/span><\/strong> \u0628\u064a\u0646 \u062d\u062f\u064a\u0646 \u0647\u0648 \u0623\u064a\u0636\u064b\u0627 \u0647\u0648\u064a\u0629 \u0631\u0627\u0626\u0639\u0629\u060c \u0648\u0641\u064a \u0627\u0644\u0648\u0627\u0642\u0639\u060c \u0641\u0647\u0648 \u062c\u0632\u0621 \u0645\u0646 \u0627\u0644\u062b\u0644\u0627\u062b\u0629 \u0627\u0644\u0623\u0648\u0627\u0626\u0644 (\u0627\u0644\u0623\u0643\u062b\u0631 \u0623\u0647\u0645\u064a\u0629). \u064a\u0645\u0643\u0646\u0643 \u0645\u0639\u0631\u0641\u0629 \u0645\u0627 \u0647\u064a \u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u062c\u0645\u0648\u0639 \u0645\u0636\u0631\u0648\u0628\u064b\u0627 \u0641\u064a \u0627\u0644\u0641\u0631\u0642 \u0648\u0643\u064a\u0641\u064a\u0629 \u062a\u0637\u0628\u064a\u0642\u0647\u0627 \u0639\u0644\u0649 \u0627\u0644\u0635\u0641\u062d\u0629 \u0627\u0644\u0645\u0631\u062a\u0628\u0637\u0629. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"Ejemplos-de-binomios-al-cubo\"><\/span> \u0623\u0645\u062b\u0644\u0629 \u0639\u0644\u0649 \u0630\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646 \u0645\u0643\u0639\u0628\u0629<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0622\u0646 \u0628\u0639\u062f \u0623\u0646 \u0639\u0631\u0641\u0646\u0627 \u0635\u064a\u063a\u0629 \u0645\u0643\u0639\u0628 \u0627\u0644\u0645\u062c\u0645\u0648\u0639 \u0648\u0635\u064a\u063a\u0629 \u0645\u0643\u0639\u0628 \u0627\u0644\u0641\u0631\u0642\u060c \u0633\u0646\u0631\u0649 \u0645\u062b\u0627\u0644\u0627\u064b \u0644\u062d\u0644 \u0643\u0644 \u0646\u0648\u0639 \u0645\u0646 \u0627\u0644\u0645\u0643\u0639\u0628\u0627\u062a \u0630\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646 \u0644\u0625\u0646\u0647\u0627\u0621 \u0641\u0647\u0645 \u0627\u0644\u0645\u0641\u0647\u0648\u0645. <\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"Ejemplo-del-cubo-de-una-suma\"><\/span> \u0645\u062b\u0627\u0644 \u0639\u0644\u0649 \u0645\u0643\u0639\u0628 \u0627\u0644\u0645\u0628\u0644\u063a<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u062d\u0644 \u0630\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646 \u0644\u0644\u0645\u0643\u0639\u0628 \u0627\u0644\u062a\u0627\u0644\u064a \u0628\u062a\u0637\u0628\u064a\u0642 \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-9b6665bb45814802bf3d7dbb8b68c771_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x+2)^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"61\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0645\u0633\u0623\u0644\u0629\u060c \u0644\u062f\u064a\u0646\u0627 \u0630\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646 \u062d\u062f\u0627\u0647\u0627 \u0645\u0648\u062c\u0628\u0627\u0646. \u0644\u0630\u0644\u0643 \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u062a\u0637\u0628\u064a\u0642 \u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u0628\u0644\u063a \u0627\u0644\u0645\u0643\u0639\u0628:<\/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-536cf8075ed9dc1e16eb5da114b79756_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)^3 = a^3+3a^2b+3ab^2 +b^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"247\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0646\u062d\u0646 \u0627\u0644\u0622\u0646 \u0628\u062d\u0627\u062c\u0629 \u0625\u0644\u0649 \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0642\u064a\u0645\u0629 \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> \u062a\u062a\u0648\u0627\u0641\u0642 \u0645\u0639 \u0627\u0644\u0645\u062a\u063a\u064a\u0631<\/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> \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> \u0647\u0648 \u0631\u0642\u0645 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-909b3b4a2f976c165f160a6765b3ed9d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left. \\begin{array}{l} (a+b)^3\\\\[2ex] (x+2)^3 \\end{array} \\color{red} \\right\\} \\quad \\color{red}\\bm{\\longrightarrow}\\quad  \\color{black} \\begin{array}{c} a=x \\\\[2ex] b=2 \\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\"> \u0648\u0644\u0630\u0644\u0643\u060c \u0641\u0625\u0646\u0646\u0627 \u0646\u062d\u0633\u0628 \u0630\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646 \u0645\u0643\u0639\u0628 \u0639\u0646 \u0637\u0631\u064a\u0642 \u0627\u0633\u062a\u0628\u062f\u0627\u0644 \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> \u0641\u064a \u0627\u0644\u0635\u064a\u063a\u0629: <\/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\/exemple-dun-binome-somme-et-difference-au-cube.jpg\" alt=\"\u0645\u062b\u0627\u0644 \u0639\u0644\u0649 \u0627\u0644\u062c\u0645\u0639 \u0648\u0627\u0644\u0641\u0631\u0642 \u0627\u0644\u0645\u0643\u0639\u0628 \u0630\u0648 \u0627\u0644\u062d\u062f\u064a\u0646\" class=\"wp-image-2468\" width=\"419\" height=\"168\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"Ejemplo-del-cubo-de-una-diferencia\"><\/span> \u0645\u062b\u0627\u0644 \u0639\u0644\u0649 \u0645\u0643\u0639\u0628 \u0627\u0644\u0641\u0631\u0642<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0627\u062d\u0633\u0628 \u0630\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646 \u0627\u0644\u0645\u0643\u0639\u0628\u064a\u0646 (\u0627\u0644\u0641\u0631\u0642) \u0627\u0644\u062a\u0627\u0644\u064a \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u0642\u0627\u0628\u0644\u0629 \u0644\u0647\u0627:<\/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-fb0dbc34da8cea6a7d6622c9a3c5faba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(3x-2)^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"70\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u062a\u0645\u0631\u064a\u0646\u060c \u0644\u062f\u064a\u0646\u0627 \u0632\u0648\u062c \u064a\u062d\u062a\u0648\u064a \u0639\u0644\u0649 \u0639\u0646\u0635\u0631 \u0625\u064a\u062c\u0627\u0628\u064a \u0648\u0639\u0646\u0635\u0631 \u0633\u0644\u0628\u064a. \u0644\u0630\u0644\u0643 \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0635\u064a\u063a\u0629 \u0627\u0644\u0641\u0631\u0642 \u0627\u0644\u0645\u0643\u0639\u0628:<\/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-746a96ec30fac619eedf62054c377fe5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a-b)^3 = a^3-3a^2b+3ab^2 -b^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"247\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0644\u0630\u0644\u0643 \u0641\u0645\u0646 \u0627\u0644\u0636\u0631\u0648\u0631\u064a \u062a\u062d\u062f\u064a\u062f \u0642\u064a\u0645\u0629 \u0627\u0644\u0645\u062c\u0647\u0648\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> \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 \u0623\u062d\u0627\u062f\u064a \u0627\u0644\u062d\u062f 3x \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> \u0647\u0648 \u0627\u0644\u0645\u0635\u0637\u0644\u062d \u0627\u0644\u0645\u0633\u062a\u0642\u0644 \u0630\u0648 \u0627\u0644\u062d\u062f\u064a\u0646\u060c \u0623\u064a 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-a792ec6dead8466ec6a2cb2a43d9fab4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left. \\begin{array}{l} (a-b)^3\\\\[2ex] (3x-2)^3 \\end{array} \\color{red} \\right\\} \\quad \\color{red}\\bm{\\longrightarrow}\\quad  \\color{black} \\begin{array}{c} a=3x \\\\[2ex] b=2 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"313\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0627\u062d\u0638 \u0623\u0646 \u0627\u0644\u0645\u0639\u0644\u0645\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-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> \u0628\u0628\u0633\u0627\u0637\u0629 \u064a\u0633\u0627\u0648\u064a 2\u060c \u0628\u062f\u0648\u0646 \u0625\u0634\u0627\u0631\u0629 \u0627\u0644\u0631\u0642\u0645 \u0627\u0644\u0633\u0627\u0644\u0628\u0629. \u0645\u0646 \u0627\u0644\u0645\u0647\u0645 \u0623\u0646 \u062a\u0636\u0639 \u0630\u0644\u0643 \u0641\u064a \u0627\u0644\u0627\u0639\u062a\u0628\u0627\u0631 \u0644\u062a\u0637\u0628\u064a\u0642 \u0627\u0644\u0635\u064a\u063a\u0629 \u0628\u0634\u0643\u0644 \u0635\u062d\u064a\u062d.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0642\u0645\u0646\u0627 \u0628\u062d\u0644 \u0645\u0643\u0639\u0628 \u0630\u064a \u0627\u0644\u062d\u062f\u064a\u0646 \u0628\u0648\u0636\u0639 \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> \u0641\u064a \u0627\u0644\u0635\u064a\u063a\u0629: <\/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\/binome-cube-negatif-parfait.jpg\" alt=\"\u0645\u0643\u0639\u0628 \u0645\u062b\u0627\u0644\u064a \u0633\u0644\u0628\u064a \u0630\u0648 \u0627\u0644\u062d\u062f\u064a\u0646\" class=\"wp-image-2476\" width=\"501\" height=\"169\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"Demostracion-de-la-formula-del-binomio-al-cubo\"><\/span> \u0625\u062b\u0628\u0627\u062a \u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u0643\u0639\u0628 \u0630\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0639\u062f \u0630\u0644\u0643\u060c \u0633\u0648\u0641 \u0646\u0648\u0636\u062d \u0635\u064a\u063a\u0629 \u0630\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646 \u0627\u0644\u0645\u0643\u0639\u0628\u0629. \u0639\u0644\u0649 \u0627\u0644\u0631\u063a\u0645 \u0645\u0646 \u0623\u0646\u0647 \u0644\u064a\u0633 \u0645\u0646 \u0627\u0644\u0636\u0631\u0648\u0631\u064a \u0645\u0639\u0631\u0641\u0629 \u0630\u0644\u0643\u060c \u0625\u0644\u0627 \u0623\u0646\u0647 \u0645\u0646 \u0627\u0644\u062c\u064a\u062f \u062f\u0627\u0626\u0645\u064b\u0627 \u0641\u0647\u0645 \u0627\u0644\u062c\u0628\u0631 \u0627\u0644\u0643\u0627\u0645\u0646 \u0648\u0631\u0627\u0621 \u0623\u064a \u0635\u064a\u063a\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u0646 \u0630\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646 \u0627\u0644\u0645\u0643\u0639\u0628 \u0627\u0644\u0645\u0648\u062c\u0628:<\/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-380239d5f1b18e11f3b6b0931a4f14d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"59\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u0645\u0643\u0646 \u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0623\u0639\u0644\u0627\u0647 \u0631\u064a\u0627\u0636\u064a\u0627 \u0625\u0644\u0649 \u0645\u0646\u062a\u062c \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> \u0628\u0645\u0631\u0628\u0639\u0647\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-d89c1125bf18f5ec3b34a3bc8e4de45b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)^3=(a+b)\\cdot (a+b)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"208\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0627\u0644\u0632\u0648\u062c<\/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\u0631\u0641\u0648\u0639\u0629 \u0625\u0644\u0649 2 \u0641\u0647\u064a \u0645\u062a\u0637\u0627\u0628\u0642\u0629 \u0631\u0627\u0626\u0639\u0629\u060c \u0644\u0630\u0644\u0643 \u064a\u0645\u0643\u0646\u0646\u0627 \u062d\u0644\u0647\u0627 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 <a href=\"https:\/\/mathority.org\/ar\/\u0645\u0631\u0628\u0639-\u0645\u062c\u0645\u0648\u0639-\u0627\u0654\u0648-\u0645\u062c\u0645\u0648\u0639-\u0645\u0631\u0628\u0639\/\"><strong><span style=\"text-decoration: underline;\">\u0635\u064a\u063a\u0629 \u0645\u0631\u0628\u0639 \u0627\u0644\u0645\u062c\u0645\u0648\u0639<\/span><\/strong><\/a> :<\/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-4b1c6920425dd90a9526a1eaccf056b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)\\cdot (a+b)^2=(a+b)\\cdot (a^2+2ab+b^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"328\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0622\u0646 \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-06771ecbb13542eae2a68477f849d729_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} (a+b)\\cdot (a^2+2ab+b^2) &amp; = a\\cdot a^2 +a\\cdot 2ab + a\\cdot b^2+b\\cdot a^2 +b\\cdot 2ab +b \\cdot b^2 \\\\[2ex] &amp; = a^3+2a^2b+ab^2+ba^2+2ab^2+b^3 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"62\" width=\"555\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0639\u0644\u064a\u0646\u0627 \u0641\u0642\u0637 \u062a\u062c\u0645\u064a\u0639 \u0627\u0644\u0645\u0635\u0637\u0644\u062d\u0627\u062a \u0627\u0644\u062a\u064a \u062a\u0628\u062f\u0648 \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-27d0da0e0e3ce760508c47f425fd1d68_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^3+2a^2b+ab^2+ba^2+2ab^2+b^3 = a^3+3a^2b+3ab^2+b^3\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"445\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 \u0635\u064a\u063a\u0629 \u0630\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646 \u0627\u0644\u0645\u0643\u0639\u0628:<\/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-536cf8075ed9dc1e16eb5da114b79756_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)^3 = a^3+3a^2b+3ab^2 +b^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"247\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u0646\u0637\u0642\u064a\u064b\u0627\u060c \u0644\u0627\u0633\u062a\u0646\u062a\u0627\u062c \u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u0643\u0639\u0628 \u0627\u0644\u0633\u0627\u0644\u0628\u0629 \u0630\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646\u060c \u0627\u062a\u0628\u0639 \u0646\u0641\u0633 \u0627\u0644\u062e\u0637\u0648\u0627\u062a \u0627\u0644\u062a\u064a \u0642\u0645\u0646\u0627 \u0628\u0647\u0627 \u0644\u0644\u062a\u0648 \u0648\u0644\u0643\u0646 \u0628\u062f\u0621\u064b\u0627 \u0645\u0646 \u0627\u0644\u062d\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-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> \u0639\u0644\u0627\u0645\u0629 \u062a\u063a\u064a\u0631\u062a.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u064a\u0645\u0643\u0646 \u0623\u064a\u0636\u064b\u0627 \u0625\u062b\u0628\u0627\u062a \u0635\u064a\u063a\u0629 \u0630\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646 \u0627\u0644\u0645\u0643\u0639\u0628 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 <a href=\"https:\/\/mathority.org\/ar\/\u062a\u0631\u062a\u0627\u0644\u064a\u0627-\u0627\u0654\u0648-\u0645\u062b\u0644\u062b-\u0628\u0627\u0633\u0643\u0627\u0644\/\"><strong><span style=\"text-decoration: underline;\">\u0645\u062b\u0644\u062b \u0628\u0627\u0633\u0643\u0627\u0644 (\u0623\u0648 \u062a\u0627\u0631\u062a\u0627\u0644\u064a\u0627)<\/span><\/strong><\/a> . \u0648\u0641\u064a \u062d\u0627\u0644 \u0643\u0646\u062a \u0644\u0627 \u062a\u0639\u0631\u0641 \u0645\u0627 \u0647\u064a \u0647\u0630\u0647 \u0627\u0644\u062e\u062f\u0639\u0629 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629\u060c \u0646\u062a\u0631\u0643 \u0644\u0643 \u0647\u0630\u0627 \u0627\u0644\u0631\u0627\u0628\u0637 \u062d\u064a\u062b \u064a\u062a\u0645 \u0634\u0631\u062d\u0647\u0627 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629. \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u0648\u0641 \u062a\u0643\u0648\u0646 \u0642\u0627\u062f\u0631\u0627 \u0639\u0644\u0649 \u0631\u0624\u064a\u0629 \u062c\u0645\u064a\u0639 \u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0627\u0644\u0645\u0648\u062c\u0648\u062f\u0629 \u0641\u064a\u0647 \u0648\u0627\u0644\u062a\u0627\u0631\u064a\u062e \u0627\u0644\u062e\u0627\u0635 \u0644\u0647\u0630\u0627 \u0627\u0644\u0645\u062b\u0644\u062b \u0627\u0644\u062c\u0628\u0631\u0649 \u0627\u0644\u0645\u0645\u064a\u0632 \u0644\u0644\u063a\u0627\u064a\u0629. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"Ejercicios-resueltos-de-binomios-al-cubo\"><\/span> \u062d\u0644 \u0645\u0633\u0627\u0626\u0644 \u0627\u0644\u0645\u0643\u0639\u0628 \u0630\u064a \u0627\u0644\u062d\u062f\u064a\u0646<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u062d\u062a\u0649 \u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0627\u0644\u062a\u062f\u0631\u0628 \u0639\u0644\u0649 \u0627\u0644\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u062a\u064a \u0631\u0623\u064a\u0646\u0627\u0647\u0627 \u0644\u0644\u062a\u0648 \u062d\u0648\u0644 \u062d\u0633\u0627\u0628 \u0630\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646 \u0644\u0644\u0642\u0648\u0629 3\u060c \u0642\u0645\u0646\u0627 \u0628\u0625\u0639\u062f\u0627\u062f \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\u0648\u0644 \u0630\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646 \u0625\u0644\u0649 \u0627\u0644\u0645\u0643\u0639\u0628.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0627 \u0644\u0627 \u062a\u0646\u0633 \u0623\u0646 \u062a\u062e\u0628\u0631\u0646\u0627 \u0628\u0631\u0623\u064a\u0643 \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0634\u0631\u062d! \u0648\u064a\u0645\u0643\u0646\u0643 \u0623\u064a\u0636\u064b\u0627 \u0623\u0646 \u062a\u0633\u0623\u0644\u0646\u0627 \u0623\u064a \u0623\u0633\u0626\u0644\u0629 \u062a\u0637\u0631\u0623! \ud83d\udc4d\ud83d\udc4d\ud83d\udc4d<\/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\"> \u0623\u0648\u062c\u062f \u0627\u0644\u062b\u0646\u0627\u0626\u064a\u0627\u062a \u0627\u0644\u0645\u0643\u0639\u0628\u0629 \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-ca75501df4056045f750323893bee27c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ (x+4)^3\" 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-f1ae5aad30adde91e86d6bb696b6adc4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\left(x^2-5\\right)^3\" 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-debc2fbed1f43204a1d3b191ce697175_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\left(2x-1\\right)^3\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"99\" 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-641ad931932e2d32742c712339a76903_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ (5x+2)^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"97\" 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\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u062c\u0645\u064a\u0639 \u0627\u0644\u0647\u0648\u064a\u0627\u062a \u0627\u0644\u0628\u0627\u0631\u0632\u0629 \u0644\u0644\u0645\u0633\u0623\u0644\u0629\u060c \u0645\u0627 \u0639\u0644\u064a\u0643 \u0633\u0648\u0649 \u062a\u0637\u0628\u064a\u0642 \u0627\u0644\u0635\u064a\u063a\u0629 \u0630\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646 \u0639\u0644\u0649 \u0627\u0644\u0645\u0643\u0639\u0628\u060c \u0627\u0639\u062a\u0645\u0627\u062f\u064b\u0627 \u0639\u0644\u0649 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0625\u0636\u0627\u0641\u0629 \u0623\u0648 \u0637\u0631\u062d\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-536cf8075ed9dc1e16eb5da114b79756_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)^3 = a^3+3a^2b+3ab^2 +b^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"247\" 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-5a9a96bd2d1f115178fbbcf19c8047c7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a-b)^3 = a^3-3a^2b+3ab^2-b^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"247\" 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-14695fb807e2df89352fdd1c1dced2ee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\begin{aligned}(x+4)^3&amp; =x^3+3\\cdot x^2\\cdot 4 +3\\cdot x\\cdot 4^2+4^3\\\\[2ex] &amp; =x^3+3\\cdot x^2\\cdot 4 +3\\cdot x\\cdot 16+64 \\\\[2ex] &amp; = \\bm{x^3+12x^2+48x+64}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"342\" 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-5be0d584351feb0bef5572ca5c9e159a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\begin{aligned}\\left(x^2-5\\right)^3&amp; =\\left(x^2\\right)^3-3\\cdot \\left(x^2\\right)^2\\cdot 5 +3\\cdot x^2\\cdot 5^2-5^3\\\\[2ex] &amp; =x^6-3\\cdot x^4\\cdot 5 +3\\cdot x^2\\cdot 25-125 \\\\[2ex] &amp; = \\bm{x^6-15x^4+75x^2-125}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"110\" width=\"404\" 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-f44f9c3283dad97321644c6e559f64ff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\begin{aligned}\\left(2x-1\\right)^3&amp; =\\left(2x\\right)^3-3\\cdot \\left(2x\\right)^2\\cdot 1 +3\\cdot 2x\\cdot 1^2-1^3\\\\[2ex] &amp; =8x^3-3\\cdot 4x^2\\cdot 1 +3\\cdot 2x\\cdot 1-1 \\\\[2ex] &amp; = \\bm{8x^3-12x^2+6x-1}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"401\" 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-156e7619e4d6ef129f04250af8197d2e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ \\begin{aligned}(5x+2)^3&amp; =(5x)^3+3\\cdot \\left(5x\\right)^2\\cdot 2 +3\\cdot 5x\\cdot 2^2+2^3\\\\[2ex] &amp; =125x^3+3\\cdot 25x^2\\cdot 2 +3\\cdot 5x\\cdot 4+8 \\\\[2ex] &amp; = \\bm{125x^3+150x^2+60x+8}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"402\" 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\u062f\u062f \u0627\u0644\u062b\u0646\u0627\u0626\u064a\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0644\u0645\u0643\u0639\u0628 \u0627\u0644\u0643\u0645\u064a\u062a\u064a\u0646 \u0645\u0646 \u062e\u0644\u0627\u0644 \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-fa956af1cab818af1f22653b384dfc21_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\left(4x^2-y^5\\right)^3\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"118\" 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-3a6734ab696568f02b53cc593ce70939_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\left(6x^3+2y^4\\right)^3\" 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-02817aca9c2bc6ddaf621c52a024719d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\displaystyle \\left(\\frac{9}{2}x^2-\\frac{4}{3}x\\right)^3\" 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 \u0641\u064a \u0627\u0644\u062a\u0645\u0631\u064a\u0646\u060c \u064a\u062c\u0628 \u0639\u0644\u064a\u0643 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0635\u064a\u063a\u0629 \u0627\u0644\u062c\u0645\u0639 \u0648\u0627\u0644\u0637\u0631\u062d \u0627\u0644\u0645\u0643\u0639\u0628: <\/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-536cf8075ed9dc1e16eb5da114b79756_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)^3 = a^3+3a^2b+3ab^2 +b^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"247\" 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-5a9a96bd2d1f115178fbbcf19c8047c7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a-b)^3 = a^3-3a^2b+3ab^2-b^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"247\" 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-386169975ac336c1732a91ebd6d0830c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\begin{aligned}\\left(4x^2-y^5\\right)^3&amp; =\\left(4x^2\\right)^3-3\\cdot \\left(4x^2\\right)^2\\cdot y^5 +3\\cdot 4x^2\\cdot \\left(y^5\\right)^2-\\left(y^5\\right)^3\\\\[2ex] &amp; =64x^6-3\\cdot 16x^4\\cdot y^5 +3\\cdot 4x^2\\cdot y^{10}-y^{15} \\\\[2ex] &amp; = \\bm{64x^6-48x^4y^5+12x^2y^{10}-y^{15}}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"112\" width=\"505\" 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-27c153bf59237b782cc697203d5f235a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\begin{aligned}\\left(6x^3+2y^4\\right)^3&amp; =\\left(6x^3\\right)^3+3\\cdot \\left(6x^3\\right)^2\\cdot 2y^4 +3\\cdot 6x^3\\cdot \\left(2y^4\\right)^2+\\left(2y^4\\right)^3\\\\[2ex] &amp; =216x^9+3\\cdot 36x^6\\cdot 2y^4 +3\\cdot 6x^3\\cdot 4y^8+8y^{12} \\\\[2ex] &amp; = \\bm{216x^9+216x^6y^4 +72x^3y^8+8y^{12}}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"112\" width=\"540\" 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 \u0627\u0644\u0623\u062e\u064a\u0631\u0629 \u0630\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646 \u0627\u0644\u0645\u0643\u0639\u0628\u064a\u0646 \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 \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-54262e17cdee07e9f36eb92f3b8b5727_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\displaystyle \\begin{aligned}\\left(\\frac{9}{2}x^2-\\frac{4}{3}x\\right)^3 &amp; =\\left(\\frac{9}{2}x^2\\right)^3-3\\cdot \\left(\\frac{9}{2}x^2\\right)^2\\cdot \\frac{4}{3}x +3\\cdot \\frac{9}{2}x^2\\cdot \\left(\\frac{4}{3}x\\right)^2-\\left(\\frac{4}{3}x\\right)^3\\\\[3ex] &amp; =\\frac{9^3}{2^3}x^6-3\\cdot \\frac{9^2}{2^2}x^4\\cdot \\frac{4}{3}x +3\\cdot \\frac{9}{2}x^2\\cdot \\frac{4^2}{3^2}x^2-\\frac{4^3}{3^3}x^3 \\\\[3ex] &amp;= \\frac{729}{8}x^6-3\\cdot \\frac{81}{4}x^4\\cdot \\frac{4}{3}x +3\\cdot \\frac{9}{2}x^2\\cdot \\frac{16}{9}x^2-\\frac{64}{27}x^3 \\\\[3ex] &amp;= \\frac{729}{8}x^6-3\\cdot \\frac{324}{12}x^5 +3\\cdot \\frac{144}{18}x^4-\\frac{64}{27}x^3 \\\\[3ex] &amp;= \\frac{729}{8}x^6-3\\cdot 27x^5 +3\\cdot 8x^4-\\frac{64}{27}x^3 \\\\[3ex] &amp; = \\mathbf{\\frac{729}{8}}\\bm{x^6-81x^5 +24x^4-}\\mathbf{\\frac{64}{27}}\\bm{x^3}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"375\" width=\"589\" 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<div 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\u0627\u0644\u0645\u0643\u0639\u0628. \u0645\u0627 \u0647\u0648 \u0630\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646 \u0645\u0643\u0639\u0628\u061f \u0630\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646 \u0627\u0644\u0645\u0643\u0639\u0628 \u0647\u064a \u0643\u062b\u064a\u0631\u0629 \u062d\u062f\u0648\u062f \u0645\u0643\u0648\u0646\u0629 \u0645\u0646 \u062d\u062f\u064a\u0646 \u0645\u0631\u0641\u0648\u0639\u062a\u064a\u0646 \u0644\u0644\u0642\u0648\u0629 3. \u0648\u0628\u0646\u0627\u0621\u064b \u0639\u0644\u0649 \u0630\u0644\u0643\u060c &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ar\/%d9%85%d9%83%d8%b9%d8%a8-%d8%b0%d9%88-%d8%a7%d9%84%d8%ad%d8%af%d9%8a%d9%86\/\"> <span class=\"screen-reader-text\">\u0645\u0643\u0639\u0628 \u0630\u0648 \u0627\u0644\u062d\u062f\u064a\u0646<\/span> \u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0645\u0632\u064a\u062f 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