{"id":316,"date":"2023-07-06T07:57:24","date_gmt":"2023-07-06T07:57:24","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e5%92%8c%e4%b8%8e%e5%b7%ae%e7%9a%84%e4%b9%98%e7%a7%af%e5%85%ac%e5%bc%8f\/"},"modified":"2023-07-06T07:57:24","modified_gmt":"2023-07-06T07:57:24","slug":"%e5%92%8c%e4%b8%8e%e5%b7%ae%e7%9a%84%e4%b9%98%e7%a7%af%e5%85%ac%e5%bc%8f","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e5%92%8c%e4%b8%8e%e5%b7%ae%e7%9a%84%e4%b9%98%e7%a7%af%e5%85%ac%e5%bc%8f\/","title":{"rendered":"\u603b\u548c\u9664\u4ee5\u5dee\u7684\u4e58\u79ef\uff08\u663e\u7740\u7684\u540c\u4e00\u6027\uff09"},"content":{"rendered":"<p>\u5728\u6b64\u9875\u9762\u4e0a\uff0c\u60a8\u5c06\u627e\u5230\u603b\u548c\u4e0e\u5dee\u7684\u4e58\u79ef\u516c\u5f0f\u3002\u6b64\u5916\uff0c\u60a8\u5c06\u80fd\u591f\u770b\u5230\u8fd9\u79cd\u975e\u51e1\u7684\u6052\u7b49\u5f0f\u516c\u5f0f\u7684\u5e94\u7528\u793a\u4f8b\uff0c\u751a\u81f3\u53ef\u4ee5\u901a\u8fc7\u9010\u6b65\u89e3\u51b3\u7684\u7ec3\u4e60\u8fdb\u884c\u7ec3\u4e60\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-el-producto-de-la-suma-por-la-diferencia\"><\/span>\u548c\u4e0e\u5dee\u7684\u4e58\u79ef\u662f\u591a\u5c11\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5728\u6570\u5b66\u4e2d\uff0c<strong>\u548c\u4e0e\u5dee\u7684\u4e58\u79ef\u7684<\/strong>\u6982\u5ff5\u662f\u6307<strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/cn\/\u6052\u7b49\u5f0f\u4ea7\u54c1-\u663e\u7740\u7684\u7b49\u5f0f\u89e3\u51b3\u7ec3\u4e60\/\">\u663e\u7740\u7b49\u5f0f<\/a><\/span><\/strong>\u4e4b\u4e00\uff0c\u4e5f\u79f0\u4e3a\u663e\u7740\u6052\u7b49\u5f0f\u6216\u663e\u7740\u4e58\u79ef\u3002<\/p>\n<p>\u66f4\u51c6\u786e\u5730\u8bf4\uff0c\u548c\u4e0e\u5dee\u7684\u4e58\u79ef\u7684\u8868\u8fbe\u5f0f\u7684\u5f62\u5f0f\u4e3a<strong>(a+b)\u00b7(ab)<\/strong> \uff0c\u5176\u4e2d (a+b) \u5bf9\u5e94\u4e8e\u4e24\u4e2a\u4e0d\u540c\u9879\u7684\u548c\uff0c(ab) \u662f\u5dee\u8fd9\u4e24\u4e2a\u76f8\u540c\u7684\u672f\u8bed\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Formula-del-producto-de-la-suma-por-la-diferencia\"><\/span>\u5dee\u548c\u7684\u4e58\u79ef\u516c\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u73b0\u5728\u6211\u4eec\u77e5\u9053\u4e86\u548c\u4e58\u5dee\u4e58\u79ef\u7684\u6570\u5b66\u5b9a\u4e49\uff0c\u8ba9\u6211\u4eec\u770b\u770b\u4f7f\u7528\u4ec0\u4e48\u516c\u5f0f\u6765\u89e3\u51b3\u8fd9\u79cd\u975e\u51e1\u7684\u6052\u7b49\u5f0f\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\/produit-de-la-somme-par-la-difference.png\" alt=\"\u603b\u548c\u9664\u4ee5\u5dee\u7684\u4e58\u79ef\" class=\"wp-image-2278\" width=\"255\" height=\"256\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u56e0\u6b64\uff0c<strong>\u4e24\u9879\u4e4b\u548c\u4e58\u4ee5\u5dee\u503c\u7684\u4e58\u79ef\u7b49\u4e8e\u8fd9\u4e24\u9879\u7684\u5e73\u65b9\u5dee<\/strong>\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u5c06\u4e24\u9879\u4e0d\u540c\u9879\u7684\u548c\u4e58\u4ee5\u8fd9\u4e24\u9879\u76f8\u540c\u7684\u51cf\u6cd5\u76f8\u5f53\u4e8e\u5bf9\u4e24\u9879\u8fdb\u884c\u5e73\u65b9\u5e76\u51cf\u53bb\u5b83\u4eec\u3002<\/p>\n<p>\u8fd9\u610f\u5473\u7740<a href=\"https:\/\/mathority.org\/cn\/\u5e73\u65b9\u5dee\u6216\u76f8\u51cf\/\"><strong><span style=\"text-decoration: underline;\">\u5e73\u65b9\u5dee<\/span><\/strong><\/a>\u53ef\u4ee5\u5206\u89e3\u4e3a\u603b\u548c\u4e58\u4ee5\u5dee\u7684\u4e58\u79ef\u3002\u5c3d\u7ba1\u73b0\u5728\u5bf9\u60a8\u6765\u8bf4\u53ef\u80fd\u770b\u8d77\u6765\u5f88\u590d\u6742\uff0c\u4f46\u5728\u94fe\u63a5\u9875\u9762\u4e0a\uff0c\u6211\u4eec\u89e3\u91ca\u4e86\u4e00\u4e2a\u6280\u5de7\uff0c\u53ef\u4ee5\u8ba9\u60a8\u901a\u8fc7\u4e24\u4e2a\u7b80\u5355\u7684\u6b65\u9aa4\u5206\u89e3\u6b64\u7c7b\u591a\u9879\u5f0f\u3002\u70b9\u51fb\u67e5\u770b\u5e76\u4e86\u89e3\u5b83\u662f\u5982\u4f55\u5b8c\u6210\u7684\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplos-de-productos-de-sumas-por-diferencias\"><\/span>\u5dee\u548c\u4e58\u79ef\u7684\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e00\u65e6\u6211\u4eec\u77e5\u9053\u4e86\u548c\u4e0e\u5dee\u7684\u4e58\u79ef\u7684\u516c\u5f0f\u662f\u4ec0\u4e48\uff0c\u63a5\u4e0b\u6765\u6211\u4eec\u5c06\u770b\u5230\u51e0\u4e2a\u5df2\u89e3\u51b3\u7684\u793a\u4f8b\uff0c\u4ee5\u4fbf\u60a8\u53ef\u4ee5\u66f4\u597d\u5730\u7406\u89e3\u5982\u4f55\u89e3\u51b3\u8fd9\u79cd\u975e\u51e1\u7684\u7b49\u5f0f\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u5b9e\u65bd\u4f8b1<\/h3>\n<ul>\n<li>\u901a\u8fc7\u5e94\u7528\u516c\u5f0f\uff0c\u8ba1\u7b97\u4ee5\u4e0b\u4e24\u9879\u4e0d\u540c\u9879\u4e4b\u5dee\u4e4b\u548c\u7684\u4e58\u79ef\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-4306df75f7e6d774f71a001d93d0a830_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x+2)\\cdot (x-2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"120\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u548c\u4e0e\u5dee\u7684\u4e58\u79ef\u516c\u5f0f\u5982\u4e0b\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-e1868f84409086d4b0b21464e4a4f207_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)\\cdot (a-b) =a^2-b^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"194\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u6240\u4ee5\u6211\u4eec\u8981\u505a\u7684\u7b2c\u4e00\u4ef6\u4e8b\u5c31\u662f\u786e\u5b9a\u53c2\u6570\u503c<\/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-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>\u548c<\/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>\u7684\u516c\u5f0f\u3002\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b<\/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>\u5bf9\u5e94\u53d8\u91cf<\/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>\u548c<\/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>\u5bf9\u5e94\u6570\u5b572\u3002<\/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-87b76b09924467ba75f033336e6a18e5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left. \\begin{array}{l} (a+b)\\cdot (a-b) \\\\[2ex] (x+2)\\cdot (x-2) \\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=\"355\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u73b0\u5728\u6211\u4eec\u77e5\u9053\u53c2\u6570\u53d6\u4ec0\u4e48\u503c<\/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-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>\u548c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a521efcd0a946cd643aebe98b5b41a3c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b,\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"12\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u6211\u4eec\u53ef\u4ee5\u5e94\u7528\u6c42\u548c\u9664\u4ee5\u5dee\u7684\u4e58\u79ef\u7684\u516c\u5f0f\uff1a<\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><\/figure>\n<\/div>\n<p>\u6b63\u5982\u60a8\u6240\u770b\u5230\u7684\uff0c\u603b\u548c\u4e0e\u5dee\u7684\u4e58\u79ef\u603b\u662f\u7ed9\u51fa\u8d1f\u9879\u3002\u7136\u800c\uff0c\u8fd9\u4e0d\u5e94\u8be5\u4e0e\u51cf\u6cd5\u5e73\u65b9\u7684\u663e\u7740\u7279\u6027\u76f8\u6df7\u6dc6\u3002\u5982\u679c\u60a8\u6709\u4efb\u4f55\u7591\u95ee\uff0c\u6211\u4eec\u5efa\u8bae\u60a8\u770b\u4e00\u4e0b<strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/cn\/\u5dee\u503c\u6216\u51cf\u6cd5\u7684\u5e73\u65b9\/\">\u5dee\u7684\u5e73\u65b9\u7684\u516c\u5f0f<\/a><\/span><\/strong>\u662f\u4ec0\u4e48\uff0c\u60a8\u8fd8\u4f1a\u53d1\u73b0\u8fd9\u4e24\u4e2a\u663e\u7740\u7684\u6052\u7b49\u5f0f\u4e4b\u95f4\u6709\u4ec0\u4e48\u533a\u522b<\/p>\n<h3 class=\"wp-block-heading\">\u5b9e\u65bd\u4f8b2<\/h3>\n<ul>\n<li>\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u6c42\u51fa\u4ee5\u4e0b\u4e24\u4e2a\u4e8c\u9879\u5f0f\u4e4b\u5dee\u4e4b\u548c\u7684\u4e58\u79ef\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-186f562faed63e636884263f5854f0e5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(3x+5)\\cdot (3x-5)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"138\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u548c\u4e0e\u5dee\u7684\u4e58\u79ef\u516c\u5f0f\u5982\u4e0b\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-e1868f84409086d4b0b21464e4a4f207_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)\\cdot (a-b) =a^2-b^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"194\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b<\/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-723d3ff64e92fa43145366202ce30f60_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a=3x\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"52\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u548c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b41cd8020624a683feb6c7e88b71c9ff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b=5\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"39\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u3002\u56e0\u6b64\uff0c\u5982\u679c\u6211\u4eec\u5e94\u7528\u5dee\u548c\u6c42\u548c\u516c\u5f0f\uff0c\u6211\u4eec\u5c06\u5f97\u5230\u4ee5\u4e0b\u4ee3\u6570\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-fffde1dd457ab276c3d53e1d1e23616d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(3x+5)\\cdot (3x-5) = (3x)^2-5^2 = 9x^2-25\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"330\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\">\u5b9e\u65bd\u4f8b3<\/h3>\n<ul>\n<li>\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u6c42\u89e3\u4e24\u4e2a\u5355\u9879\u5f0f\u4e4b\u5dee\u4e4b\u548c\u7684\u4e58\u79ef\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-409155e85d07804a9333bd48429940ec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(4x-2y)\\cdot (4x+2y)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"156\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u7531\u4e8e\u4e58\u6cd5\u5177\u6709\u4ea4\u6362\u5f8b\uff0c\u56e0\u6b64\u5148\u5c06\u4e24\u4e2a\u91cf\u7684\u5dee\u76f8\u4e58\uff0c\u7136\u540e\u518d\u5c06\u5176\u76f8\u4e58\uff0c\u76f8\u5f53\u4e8e\u5c06\u76f8\u540c\u7684\u62ec\u53f7\u53cd\u8fc7\u6765\u76f8\u4e58\u3002<\/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-583e6cc781617efdb7061c82ae11ec0b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(4x-2y)\\cdot (4x+2y) = (4x+2y)\\cdot (4x-2y)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"338\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u867d\u7136\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\u4e58\u79ef\u88ab\u98a0\u5012\u4e86\uff0c\u5373\u52a0\u6cd5\u4e4b\u524d\u662f\u51cf\u6cd5\uff0c\u4f46\u7ed3\u679c\u4ecd\u7136\u4e0e\u516c\u5f0f\u76f8\u540c\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-e1868f84409086d4b0b21464e4a4f207_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)\\cdot (a-b) =a^2-b^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"194\" 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-72246fd1126cb58a3fb86376fba4f0d6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a-b)\\cdot (a+b) =a^2-b^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"194\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u90a3\u4e48\u5728\u8fd9\u4e2a\u95ee\u9898\u4e2d<\/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-5231d0029f85ab0321bb3d4b9e25ec80_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a=4x\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"52\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u548c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f3fbd7a3d02814e8c9770e23ece10400_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b=2y\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"49\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u3002\u5f53\u6211\u4eec\u786e\u5b9a\u4e86\u6bcf\u4e2a\u672a\u77e5\u6570\u7684\u503c\u540e\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u6765\u8ba1\u7b97\u663e\u7740\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-3ff47675eb3b0a4db49ff32ebe471744_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(4x-2y)\\cdot (4x+2y)= (4x)^2-(2y)^2 = 16x^2-4y^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"389\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Demostracion-de-la-formula-de-la-suma-por-la-diferencia\"><\/span>\u5dee\u5206\u6c42\u548c\u516c\u5f0f\u6f14\u793a<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6211\u4eec\u521a\u521a\u7814\u7a76\u7684\u548c\u4e58\u5dee\u516c\u5f0f\u53ef\u4ee5\u5f88\u5bb9\u6613\u5730\u8bc1\u660e\u3002<\/p>\n<p>\u5982\u679c\u6211\u4eec\u4ece\u603b\u548c\u51cf\u53bb\u4efb\u610f\u4e24\u9879\u7684\u4e58\u79ef\u5f00\u59cb\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-226e878dd6855cddf50e1bd6eeed0eab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)\\cdot (a-b)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"116\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u53ea\u9700\u4f7f\u7528\u5206\u914d\u5f8b\u5c06\u7b2c\u4e00\u4e2a\u62ec\u53f7\u4e58\u4ee5\u7b2c\u4e8c\u4e2a\u62ec\u53f7\u5373\u53ef\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-346d3d7ca4da1e71fad52c84a33ef4fc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}(a+b)\\cdot (a-b)= \\\\[2ex] = a\\cdot a +a\\cdot (-b) +b \\cdot a +b\\cdot (-b) =\\\\[2ex] = a^2 -ab+ba-b^2\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"91\" width=\"276\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u901a\u8fc7\u5c06\u76f8\u4f3c\u7684\u672f\u8bed\u7ec4\u5408\u5728\u4e00\u8d77\uff0c\u6211\u4eec\u5f97\u5230\u4ee5\u4e0b\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-cc83a078573a59dfd63c1a7cdad77e01_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^2 -ab+ba-b^2=a^2-b^2\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"209\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u63a8\u5bfc\u51fa\u663e\u7740\u7684\u548c\u5dee\u4e58\u79ef\u7684\u516c\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-e1868f84409086d4b0b21464e4a4f207_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)\\cdot (a-b) =a^2-b^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"194\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejercicios-resueltos-del-producto-de-la-suma-por-diferencia\"><\/span>\u89e3\u51b3\u4e86\u5dee\u548c\u7684\u4e58\u79ef\u7ec3\u4e60<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e0b\u9762\u6211\u4eec\u51c6\u5907\u4e86\u51e0\u4e2a\u5206\u6b65\u89e3\u51b3\u5dee\u5206\u52a0\u6cd5\u7684\u7ec3\u4e60\uff0c\u4f9b\u60a8\u7ec3\u4e60\u3002\u7ec3\u4e60\u6309\u7167\u4ece\u6700\u96be\u5230\u6700\u96be\u7684\u987a\u5e8f\u6392\u5217\uff0c\u56e0\u6b64\u6211\u4eec\u5efa\u8bae\u4ece 1 \u5f00\u59cb\uff0c\u7ee7\u7eed\u8fdb\u884c 2\uff0c\u6700\u540e\u8fdb\u884c\u6700\u96be\u7684 3\u3002<\/p>\n<p> \u2b07\u2b07\u53e6\u5916\u4e0d\u8981\u5fd8\u8bb0\u60a8\u53ef\u4ee5\u5728\u8bc4\u8bba\u4e2d\u7ed9\u6211\u4eec\u7559\u4e0b\u4efb\u4f55\u95ee\u9898\uff01\u2b07\u2b07<\/p>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e601<\/h3>\n<p>\u6c42\u89e3\u4ee5\u4e0b\u5dee\u548c\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-3a101dc0bb3e2ab901e5a441cdb22369_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ (x+5)(x-5)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"134\" 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-5a3cc5a2bfc3829e05fbf0cc6fd4dea9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ (2x+6)(2x-6)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"151\" 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-5b3b43f8e1142337f367f44c27632578_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ (x+7)(x-7)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"134\" 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-80db9b8cb45a16f2c4b4dd810f0ef940_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ (x-4y)(x+4y)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"153\" 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-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b9857bf825403b9bb0b16fe08f338ac4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\begin{array}{l}(x+5)(x-5) = \\\\[2ex] =x^2-5^2=\\\\[2ex] = \\bm{x^2-25}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"89\" width=\"167\" 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-7b16ddf395da600fb7bc3b5d62a328d3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\begin{array}{l}(2x+6)(2x-6) = \\\\[2ex] =(2x)^2-6^2=\\\\[2ex] = \\bm{4x^2-36}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"89\" width=\"184\" 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-7109d4edfb32c8d194a747f30f23de59_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\begin{array}{l}(x+7)(x-7) = \\\\[2ex] =x^2-7^2=\\\\[2ex] = \\bm{x^2-49}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"89\" width=\"166\" 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-ddc7c482ee40aa839c39f218036b2ac3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ \\begin{array}{l}(x-4y)(x+4y) = \\\\[2ex] =(x+4y)(x-4y) =\\\\[2ex] =x^2-(4y)^2=\\\\[2ex] = \\bm{x^2-16y^2}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"130\" width=\"204\" style=\"vertical-align: 0px;\"><\/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\u4ee5\u4e0b\u4e58\u6cd5\u8868\u793a\u4e3a\u5e73\u65b9\u5dee\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-f11abde1a676c9efe0dee6544ec7dd35_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\left(x^2+10\\right)\\left(x^2-10\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"177\" style=\"vertical-align: -7px;\"><\/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-ad159466aec4f0d240bd8d4c308f7abd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\left(4x-5\\right)\\left(4x+5\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"157\" 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-ce8c4004719f1aa6c92b21494efd621f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\left(8x^3+y^2\\right)\\left(8x^3-y^2\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"193\" style=\"vertical-align: -7px;\"><\/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-6aa36e48b667ea4743daf1da540430ff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ \\left(2x^3y+x^4y^2\\right)\\left(2x^3y-x^4y^2\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"248\" style=\"vertical-align: -7px;\"><\/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-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-130cd5d346f482730ecc3333446e523f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\begin{array}{l}\\left(x^2+10\\right)\\left(x^2-10\\right) = \\\\[2ex] =\\left(x^2\\right)^2-10^2=\\\\[2ex] = \\bm{x^4-100}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"93\" width=\"208\" 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-789437ac865d440bbd7fdc8c3dcef649_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\begin{array}{l}\\left(4x-5\\right)\\left(4x+5\\right) = \\\\[2ex] =(4x)^2-5^2=\\\\[2ex] = \\bm{16x^2-25}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"89\" width=\"187\" 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-95f3d6fb4f7ec97adeefac0c98b129a8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\begin{array}{l}\\left(8x^3+y^2\\right)\\left(8x^3-y^2\\right) = \\\\[2ex] =\\left(8x^3\\right)^2-\\left(y^2\\right)^2=\\\\[2ex] = \\bm{64x^6-y^4}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"224\" 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-cd84ca693626bc77a4a19e0c45a00caf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ \\begin{array}{l}\\left(2x^3y+x^4y^2\\right)\\left(2x^3y-x^4y^2\\right) = \\\\[2ex] =\\left(2x^3y\\right)^2-\\left(x^4y^2\\right)^2 =\\\\[2ex] = \\bm{4x^6y^2-x^8y^4}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"279\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e603<\/h3>\n<p>\u89e3\u51b3\u4ee5\u4e0b\u503c\u5f97\u6ce8\u610f\u7684\u8eab\u4efd\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-92f6afda6cffbe29df833c7579880aef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\left(9x^3+\\sqrt{5x}\\right)\\left(9x^3-\\sqrt{5x}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"227\" style=\"vertical-align: -7px;\"><\/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-3bfc1a9172f021d35179b9df54d8a126_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\displaystyle \\left(\\frac{1}{2}x^2+\\frac{5}{3}x\\right)\\left(\\frac{1}{2}x^2-\\frac{5}{3}x\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"231\" style=\"vertical-align: -17px;\"><\/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-2898ec593dbaadf26cda7de0359b147e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\left(6x^4+x^2+1\\right)\\left(6x^4-x^2-1\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"255\" style=\"vertical-align: -7px;\"><\/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\">\u8981\u89e3\u51b3\u7b2c\u4e00\u4e2a\u503c\u5f97\u6ce8\u610f\u7684\u7b49\u5f0f\uff0c\u60a8\u9700\u8981\u8bb0\u4f4f\u5e73\u65b9\u6839\u7b80\u5316\u4e86\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-ab1362f27fa00986005f1065ad627537_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\begin{array}{l}\\left(9x^3+\\sqrt{5x}\\right)\\left(9x^3-\\sqrt{5x}\\right) = \\\\[2ex] =\\left(9x^3\\right)^2-\\left(\\sqrt{5x}\\right)^2=\\\\[2ex] = \\bm{81x^6-5x}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"94\" width=\"258\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u7b2c\u4e8c\u4e2a\u5dee\u548c\u7684 2 \u4e2a\u5355\u9879\u5f0f\u5177\u6709\u5206\u6570\u7cfb\u6570\uff0c\u56e0\u6b64\u6211\u4eec\u5fc5\u987b\u4f7f\u7528\u5206\u6570\u7684\u6027\u8d28\u6765\u89e3\u51b3\u6b64\u7ec3\u4e60\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-f326d1d0330f288f08c8cf6a27ba85e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\begin{array}{l}\\displaystyle \\left(\\frac{1}{2}x^2+\\frac{5}{3}x\\right)\\left(\\frac{1}{2}x^2-\\frac{5}{3}x\\right) = \\\\[4ex] \\displaystyle =\\left(\\frac{1}{2}x^2\\right)^2-\\left(\\frac{5}{3}x\\right)^2=\\\\[4ex] \\displaystyle =\\frac{1^2}{2^2}x^4-\\frac{5^2}{3^2}x^2=\\\\[4ex]\\displaystyle = \\mathbf{\\frac{1}{4}}\\bm{x^4-}\\mathbf{\\frac{25}{9}}\\bm{x^2} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"228\" width=\"263\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6700\u540e\uff0c\u6700\u540e\u4e00\u4e2a\u503c\u5f97\u6ce8\u610f\u7684\u7b49\u5f0f\u6709\u70b9\u7279\u6b8a\uff0c\u56e0\u4e3a\u5b83\u5185\u90e8\u5305\u542b\u53e6\u4e00\u4e2a\u503c\u5f97\u6ce8\u610f\u7684\u4e58\u79ef\uff08\u603b\u548c\u7684\u5e73\u65b9\uff09\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-ba1748a8a88df231365c5134f251038a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\begin{array}{l}\\left(6x^4+x^2+1\\right)\\left(6x^4-x^2-1\\right) = \\\\[2ex] = \\left(6x^4+\\left(x^2+1\\right)\\right)\\left(6x^4-\\left(x^2+1\\right)\\right)=\\\\[2ex]=\\left(6x^4\\right)^2-\\left(x^2+1\\right)^2=\\\\[2ex] =36x^8 - \\left(x^4+2x^2+1\\right)=\\\\[2ex] = \\bm{36x^8 - x^4-2x^2-1}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"167\" width=\"338\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div 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