{"id":329,"date":"2023-07-06T04:01:11","date_gmt":"2023-07-06T04:01:11","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e7%ab%8b%e6%96%b9%e5%92%8c\/"},"modified":"2023-07-06T04:01:11","modified_gmt":"2023-07-06T04:01:11","slug":"%e7%ab%8b%e6%96%b9%e5%92%8c","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e7%ab%8b%e6%96%b9%e5%92%8c\/","title":{"rendered":"\u7acb\u65b9\u548c"},"content":{"rendered":"<p>\u5728\u6b64\u9875\u9762\u4e0a\uff0c\u60a8\u5c06\u627e\u5230\u7acb\u65b9\u548c\u516c\u5f0f\u4ee5\u53ca\u5982\u4f55\u56e0\u5f0f\u5206\u89e3\u7acb\u65b9\u548c\u7684\u8bf4\u660e\u3002\u6b64\u5916\uff0c\u60a8\u5c06\u80fd\u591f\u770b\u5230\u51e0\u4e2a\u793a\u4f8b\u4ee5\u53ca\u5df2\u89e3\u51b3\u7684\u7acb\u65b9\u548c\u7ec3\u4e60\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-la-suma-de-cubos\"><\/span>\u7acb\u65b9\u4e4b\u548c\u662f\u591a\u5c11\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u7acb\u65b9\u548c<\/strong>\u662f\u4e00\u4e2a\u4e8c\u9879\u5f0f\uff08\u53ea\u6709\u4e24\u4e2a\u5355\u9879\u5f0f\u7684\u591a\u9879\u5f0f\uff09\uff0c\u5176\u4e24\u9879\u5747\u4e3a\u6b63\uff0c\u800c\u4e14\u5b83\u4eec\u7684\u7acb\u65b9\u6839\u662f\u7cbe\u786e\u7684\u3002\u56e0\u6b64\uff0c\u7acb\u65b9\u548c\u7684\u4ee3\u6570\u8868\u8fbe\u5f0f\u4e3a<strong>a <sup>3<\/sup> +b <sup>3<\/sup><\/strong> \u3002<\/p>\n<p>\u6b64\u5916\uff0c\u5b8c\u7f8e\u7acb\u65b9\u4e4b\u548c\u5bf9\u5e94\u4e8e\u4e00\u4e2a\u663e\u7740\u7684\u4e58\u79ef\uff08\u6216\u663e\u7740\u7684\u6052\u7b49\u5f0f\uff09\uff0c\u8fd9\u610f\u5473\u7740\u6709\u4e00\u4e2a\u516c\u5f0f\u53ef\u4ee5\u76f4\u63a5\u89e3\u51b3\u5b83\uff0c\u800c\u65e0\u9700\u8fdb\u884c\u5927\u91cf\u8ba1\u7b97\u3002\u63a5\u4e0b\u6765\u6211\u4eec\u5c06\u770b\u770b\u5b83\u662f\u5982\u4f55\u5b8c\u6210\u7684\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Formula-de-la-suma-de-cubos\"><\/span>\u7acb\u65b9\u548c\u516c\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e86\u89e3\u4e86\u7acb\u65b9\u548c\u7684\u6570\u5b66\u5b9a\u4e49\u540e\uff0c\u73b0\u5728\u8ba9\u6211\u4eec\u770b\u770b\u7acb\u65b9\u548c\u7684\u516c\u5f0f\u662f\u4ec0\u4e48\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/formule-de-la-somme-des-cubes.png\" alt=\"\u7acb\u65b9\u548c\u516c\u5f0f\" class=\"wp-image-2663\" width=\"306\" height=\"307\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u56e0\u6b64\uff0c\u4e24\u9879\u7684\u4e09\u6b21\u65b9\u4e4b\u548c\u7b49\u4e8e\u8fd9\u4e24\u9879\u4e4b\u548c\u4e58\u4ee5\u7b2c\u4e00\u9879\u7684\u5e73\u65b9\uff0c\u51cf\u53bb\u8fd9\u4e24\u4e2a\u91cf\u7684\u4e58\u79ef\uff0c\u518d\u52a0\u4e0a\u7b2c\u4e8c\u9879\u7684\u5e73\u65b9\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u5f53\u6211\u4eec\u5e94\u7528\u5b8c\u7f8e\u7acb\u65b9\u548c\u7684\u516c\u5f0f\u65f6\uff0c\u6211\u4eec\u5b9e\u9645\u4e0a\u662f\u5728\u5bf9\u591a\u9879\u5f0f\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3\uff0c\u56e0\u4e3a\u6211\u4eec\u5c06\u591a\u9879\u5f0f\u7684\u8868\u8fbe\u5f0f\u8f6c\u6362\u4e3a\u4e24\u4e2a\u56e0\u5f0f\u7684\u4e58\u79ef\u3002\u5982\u679c\u60a8\u4ecd\u7136\u4e0d\u786e\u5b9a\u5bf9\u591a\u9879\u5f0f\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3\u610f\u5473\u7740\u4ec0\u4e48\uff0c\u6211\u4eec\u5efa\u8bae\u60a8\u5728\u7ee7\u7eed\u4e4b\u524d\u4e86\u89e3\u5982\u4f55<a href=\"https:\/\/mathority.org\/cn\"><strong><span style=\"text-decoration: underline;\">\u5bf9\u591a\u9879\u5f0f\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3<\/span><\/strong><\/a>\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplos-de-factorizaciones-de-sumas-de-cubos\"><\/span>\u56e0\u5f0f\u5206\u89e3\u7acb\u65b9\u548c\u7684\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e3a\u4e86\u5b8c\u6210\u5bf9\u5b8c\u7f8e\u7acb\u65b9\u548c\u7684\u6982\u5ff5\u7684\u7406\u89e3\uff0c\u6211\u4eec\u5c06\u770b\u5230\u51e0\u4e2a\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u5206\u89e3\u7acb\u65b9\u548c\u7684\u793a\u4f8b\uff1a<\/p>\n<h3 class=\"wp-block-heading\">\u5b9e\u65bd\u4f8b1<\/h3>\n<ul>\n<li>\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u5bf9\u4ee5\u4e0b\u7acb\u65b9\u548c\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3\uff1a<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-51a33d4fd52d94afa78abd4be81cf7f3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^3+8\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"48\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p>\u4e8b\u5b9e\u4e0a\uff0c\u5b83\u662f\u7acb\u65b9\u548c\uff0c\u56e0\u4e3a\u5355\u9879\u5f0f\u7684\u7acb\u65b9\u6839<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a5e0e31e823b4d5c9a90c0d01d5e8fcb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^3\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"17\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u7cbe\u786e\u7684\uff08\u4e0d\u7ed9\u51fa\u5c0f\u6570\uff09\u5e76\u4e14\u6570\u5b57 8 \u4e5f\u662f\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1105a3d4349d8c5d3eae7b16dc079ef1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sqrt[3]{x^3} = x\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"65\" style=\"vertical-align: -1px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-71ce4de717d54a2fb6c3282de038913a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sqrt[3]{8} = 2\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"54\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4171629bd68508074adfbf81cf982b5f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^3+8=x^3+2^3\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"127\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u6211\u4eec\u53ef\u4ee5\u5e94\u7528\u7acb\u65b9\u548c\u516c\u5f0f\u5c06\u4e09\u6b21\u8868\u8fbe\u5f0f\u8f6c\u6362\u4e3a\u4e8c\u9879\u5f0f\u548c\u4e09\u9879\u5f0f\u7684\u4e58\u79ef\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-261e42482dc7545bb617e1d662dd2cc0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^3+b^3  = (a+b)(a^2-ab+b^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"236\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-62bca2a2972fa58da86d3a6dca21e62e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^3 +2^3 = (x+2)(x^2-x \\cdot 2 + 2^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"257\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u6700\u540e\uff0c\u6211\u4eec\u53ea\u9700\u8981\u89e3\u51b3\u4e58\u6cd5\u548c\u5e42\u7684\u95ee\u9898\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0993ec317132eea25d3144b4f2fe61f3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^3 +2^3 = (x+2)(x^2-2x + 4)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"236\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u5982\u679c\u6211\u4eec\u4ed4\u7ec6\u89c2\u5bdf\u6240\u83b7\u5f97\u7684\u8868\u8fbe\u5f0f\uff0c\u7531\u4e8e\u7acb\u65b9\u548c\u7684\u516c\u5f0f\uff0c\u6211\u4eec\u53ef\u4ee5\u8f7b\u677e<a href=\"https:\/\/mathority.org\/cn\/\u591a\u9879\u5f0f\u7684\u6839\/\"><strong><span style=\"text-decoration: underline;\">\u627e\u5230\u591a\u9879\u5f0f\u7684\u6839<\/span><\/strong><\/a>\u3002\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u591a\u9879\u5f0f\u7684\u6839\u4e4b\u4e00\u662f<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-86f872935a384592f05d5fdc077a0a0f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=-2.\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"61\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u7136\u800c\uff0c\u8981\u627e\u5230\u591a\u9879\u5f0f\u7684\u6240\u6709\u6839\uff08\u6216\u96f6\uff09\uff0c\u60a8\u5fc5\u987b\u9075\u5faa\u66f4\u590d\u6742\u7684\u8fc7\u7a0b\uff0c\u5728\u94fe\u63a5\u9875\u9762\u4e0a\u4e86\u89e3\u5982\u4f55\u64cd\u4f5c\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u5b9e\u65bd\u4f8b2<\/h3>\n<ul>\n<li>\u901a\u8fc7\u5e94\u7528\u5b8c\u7f8e\u7acb\u65b9\u548c\u7684\u516c\u5f0f\u5bf9\u4ee5\u4e0b\u4e8c\u9879\u5f0f\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-98f53ef4a4c3c39ecc0682c8d3df7666_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"8x^3+1\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"56\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p>\u6b64\u793a\u4f8b\u4e2d\u7684\u591a\u9879\u5f0f\u4e5f\u7531\u7acb\u65b9\u548c\u7ec4\u6210\uff0c\u56e0\u4e3a\u5355\u9879\u5f0f\u7684\u7acb\u65b9\u6839<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1f61617ac46da6980b038f6068280293_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"8x^3\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"26\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u6839\u636e\u72ec\u7acb\u9879 1 \u662f\u7cbe\u786e\u7684\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ff524d796280c6890e586ebb8a8023e2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sqrt[3]{8x^3} = 2x\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"83\" style=\"vertical-align: -1px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9f8402a5e8c6e7baa1ee3f973126c38f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sqrt[3]{1} = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"54\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a4be4848c5fb1c048ff19989f177b944_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"8x^3+1 =(2x)^3+1^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"159\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u5b8c\u5168\u7acb\u65b9\u548c\u7684\u516c\u5f0f\u6765\u7b80\u5316\u8868\u8fbe\u5f0f\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-261e42482dc7545bb617e1d662dd2cc0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^3+b^3  = (a+b)(a^2-ab+b^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"236\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-12bb382af2a96841b698c579bd102e82_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(2x)^3+1^3 = (2x+1)\\bigl((2x)^2-2x \\cdot 1 + 1^2\\bigr)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"320\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p>\u6700\u540e\uff0c\u8ba1\u7b97\u7ed3\u679c\u64cd\u4f5c\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7915cecea88607cdc34ea9c53e25654c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(2x)^3+1^3 = (2x+1)(4x^2-2x + 1\\bigr)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"276\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p>\u73b0\u5728\u60a8\u5df2\u7ecf\u4e86\u89e3\u4e86\u5982\u4f55\u6c42\u89e3\u7acb\u65b9\u4e4b\u548c\uff0c\u60a8\u53ef\u80fd\u60f3\u77e5\u9053\u5982\u4f55\u5bf9<strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/cn\/\u7acb\u65b9\u5dee\u51cf\u6cd5\/\">\u7acb\u65b9\u4e4b\u5dee<\/a><\/span><\/strong>\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3\u3002\u56e0\u4e3a\u867d\u7136\u7acb\u65b9\u5dee\u516c\u5f0f\u5f88\u76f8\u4f3c\uff0c\u4f46\u5b83\u6709\u4e00\u4e2a\u5c0f\u5c0f\u7684\u53d8\u5316\uff0c\u53ef\u4ee5\u8ba9\u6211\u4eec\u533a\u5206\u7acb\u65b9\u548c\u548c\u7acb\u65b9\u5dee\u3002\u6211\u4eec\u4e3a\u60a8\u7559\u4e0b\u6b64\u94fe\u63a5\uff0c\u4ee5\u4fbf\u60a8\u4e86\u89e3\u8fd9\u4e00\u91cd\u5927\u53d8\u5316\u7684\u7ec4\u6210\u4ee5\u53ca\u5982\u4f55\u8ba1\u7b97\u7acb\u65b9\u4f53\u7684\u51cf\u6cd5\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejercicios-resueltos-de-sumas-de-cubos\"><\/span>\u89e3\u51b3\u4e86\u7acb\u65b9\u548c\u7684\u95ee\u9898<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e601<\/h3>\n<p>\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u5bf9\u4ee5\u4e0b\u7acb\u65b9\u4f53\u7684\u52a0\u6cd5\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-64ab426c17c8571c1726998770c4b202_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^6+27x^3\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"74\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u8be5\u8868\u8fbe\u5f0f\u5bf9\u5e94\u4e8e\u7acb\u65b9\u548c\uff0c\u56e0\u4e3a\u591a\u9879\u5f0f\u7684\u4e24\u4e2a\u5143\u7d20\u7684\u7acb\u65b9\u6839\u662f\u7cbe\u786e\u7684\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4940d2f98a52cbec3af20836bd69d3b0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sqrt[3]{x^6} = x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"72\" style=\"vertical-align: -1px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c60bf4d19507d04bdae93d067a8d693d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sqrt[3]{27x^3} = 3x\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"92\" style=\"vertical-align: -1px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1e8dbe7c909416a5a330d21440a3b89a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^6+27x^3=\\bigl(x^2\\bigr)^3+(3x)^3\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"202\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u5b8c\u7f8e\u7acb\u65b9\u548c\u7684\u516c\u5f0f\u5c06\u4e09\u6b21\u8868\u8fbe\u5f0f\u5206\u89e3\u4e3a\u4e8c\u9879\u5f0f\u548c\u4e09\u9879\u5f0f\u7684\u4e58\u79ef\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-261e42482dc7545bb617e1d662dd2cc0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^3+b^3  = (a+b)(a^2-ab+b^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"236\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-26d11de6c65531d48077d92ffb61bfcb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bigl(x^2\\bigr)^3+(3x)^3 = \\left(x^2+3x\\right)\\left( \\left(x^2\\right)^2-x^2 \\cdot 3x + (3x)^2\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"397\" style=\"vertical-align: -11px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6211\u4eec\u7528\u5b83\u6765\u89e3\u51b3\u6240\u6709\u8fd0\u7b97\u4ee5\u627e\u5230\u5206\u89e3\u591a\u9879\u5f0f\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-326b49aeb6e6835bd07aad5e4981b0f2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bigl(x^2\\bigr)^3+(3x)^3 = \\left(x^2+3x\\right)\\left( x^4-3x^3 + 9x^2\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"332\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e602<\/h3>\n<p>\u5c06\u6bcf\u4e2a\u4e58\u79ef\u8868\u793a\u4e3a\u7acb\u65b9\u548c\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-52faab57ad4a1ac55f7bfef5b1b8f45c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ (x+5)(x^2-5x+25)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"192\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d8ffa443eb8d1c0e020249e47f8b0d3a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ (2x+7)(4x^2-14x+49)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"217\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-80cc39921b76e54197953588ddf19544_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ (8x+y^2)(64x^2-8xy^2+y^4)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"242\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">3 \u4e2a\u7ec3\u4e60\u7684\u8868\u8fbe\u5f0f\u9075\u5faa\u7acb\u65b9\u548c\u7684\u516c\u5f0f\uff0c\u56e0\u6b64\u8db3\u4ee5\u6c42\u89e3\u591a\u9879\u5f0f\u7684\u4e58\u6cd5\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-db8da16c852b5b0b6c5b713c0d2d4fcf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\begin{array}{l}(x+5)(x^2-5x+25) = \\\\[2ex] = x^3-5x^2+25x+5x^2-25x+125 = \\\\[2ex] = x^3 +125\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"92\" width=\"339\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-73ca58a006b5e2fd30f9e2bc1fe170f3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\begin{array}{l}(2x+7)(4x^2-14x+49) = \\\\[2ex] =  8x^3-28x^2+98x+28x^2-98x+343 = \\\\[2ex]  = 8x^3+343\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"92\" width=\"364\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fcad6960f7a6c30cc8f251d33ed98a5e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\begin{array}{l}(8x+y^2)(64x^2-8xy^2+y^4) = \\\\[2ex] =512x^3-64x^2y^2+8xy^4+64x^2y^2-8xy^4+y^6= \\\\[2ex] = 512x^3+y^6\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"94\" width=\"423\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<p>\u5982\u679c\u60a8\u5bf9\u8457\u540d\u7684\u8eab\u4efd\u66f4\u611f\u5174\u8da3\uff0c\u8bf7\u77e5\u9053\u6709\u4e00\u4e2a\u5f88\u591a\u4eba\u90fd\u5fd8\u8bb0\u4e86\uff08\u800c\u4e14\u5b83\u88ab\u7ecf\u5e38\u4f7f\u7528\uff09\u3002\u4f46\u91cd\u8981\u7684\u662f\u8981\u8bb0\u4f4f\u8fd9\u4e2a\u975e\u51e1\u6052\u7b49\u5f0f\u7684\u516c\u5f0f\uff0c\u79f0\u4e3a<strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/cn\/\u4e09\u9879\u5f0f\u7684\u5e73\u65b9\/\">\u4e09\u9879\u5f0f\u5e73\u65b9<\/a><\/span><\/strong>\u3002\u8fd9\u5c31\u662f\u4e3a\u4ec0\u4e48\u6211\u4eec\u7ed9\u60a8\u7559\u4e0b\u8fd9\u4e2a\u94fe\u63a5\uff0c\u60a8\u53ef\u4ee5\u5728\u5176\u4e2d\u67e5\u770b\u5b83\u662f\u4ec0\u4e48\u4ee5\u53ca\u5982\u4f55\u5e94\u7528\u8be5\u516c\u5f0f\u3002<\/p>\n<div id=\"ezoic-pub-ad-placeholder-176\" data-inserter-version=\"-1\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u6b64\u9875\u9762\u4e0a\uff0c\u60a8\u5c06\u627e\u5230\u7acb\u65b9\u548c\u516c\u5f0f\u4ee5\u53ca\u5982\u4f55\u56e0\u5f0f\u5206\u89e3\u7acb\u65b9\u548c\u7684\u8bf4\u660e\u3002\u6b64\u5916\uff0c\u60a8\u5c06\u80fd\u591f\u770b\u5230\u51e0\u4e2a\u793a\u4f8b\u4ee5\u53ca\u5df2\u89e3\u51b3\u7684\u7acb\u65b9\u548c\u7ec3\u4e60\u3002 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e7%ab%8b%e6%96%b9%e5%92%8c\/\"> <span class=\"screen-reader-text\">\u7acb\u65b9\u548c<\/span> \u67e5\u770b\u5168\u6587 &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[10],"tags":[],"class_list":["post-329","post","type-post","status-publish","format-standard","hentry","category-10"],"yoast_head":"<!-- This site is optimized 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