{"id":58,"date":"2023-09-17T07:23:14","date_gmt":"2023-09-17T07:23:14","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e6%91%98%e5%bd%95-%e6%91%98%e5%bd%95-%e7%bb%83%e4%b9%a0-%e5%85%ac%e5%9b%a0%e6%95%b0-%e5%b7%b2%e8%a7%a3%e5%86%b3%e7%9a%84%e4%be%8b%e5%ad%90\/"},"modified":"2023-09-17T07:23:14","modified_gmt":"2023-09-17T07:23:14","slug":"%e6%91%98%e5%bd%95-%e6%91%98%e5%bd%95-%e7%bb%83%e4%b9%a0-%e5%85%ac%e5%9b%a0%e6%95%b0-%e5%b7%b2%e8%a7%a3%e5%86%b3%e7%9a%84%e4%be%8b%e5%ad%90","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e6%91%98%e5%bd%95-%e6%91%98%e5%bd%95-%e7%bb%83%e4%b9%a0-%e5%85%ac%e5%9b%a0%e6%95%b0-%e5%b7%b2%e8%a7%a3%e5%86%b3%e7%9a%84%e4%be%8b%e5%ad%90\/","title":{"rendered":"\u63d0\u53d6\u6216\u5220\u9664\u516c\u56e0\u5b50"},"content":{"rendered":"<p>\u5728\u672c\u9875\u4e2d\uff0c\u6211\u4eec\u89e3\u91ca\u5982\u4f55\u83b7\u53d6\uff08\u6216\u63d0\u53d6\uff09\u591a\u9879\u5f0f\u7684\u516c\u56e0\u5f0f\u3002\u5728\u8fd9\u91cc\u60a8\u5c06\u627e\u5230\u4e0d\u540c\u7c7b\u578b\u7684\u516c\u56e0\u6570\uff0c\u5e76\u4e14\u60a8\u5c06\u80fd\u591f\u770b\u5230\u5982\u4f55\u5b9e\u73b0\u8fd9\u4e00\u70b9\u7684\u51e0\u4e2a\u793a\u4f8b\u3002\u6b64\u5916\uff0c\u60a8\u8fd8\u53ef\u4ee5\u901a\u8fc7\u9010\u6b65\u89e3\u51b3\u7684\u7ec3\u4e60\u8fdb\u884c\u8bad\u7ec3\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-el-factor-comun\"><\/span>\u516c\u56e0\u6570\u662f\u4ec0\u4e48\uff1f <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p class=\"has-background\" style=\"background-color:#ffebee\">\u5728\u6570\u5b66\u4e2d\uff0c<strong>\u516c\u56e0\u6570<\/strong>\u662f\u591a\u9879\u5f0f\u6240\u6709\u9879\u4e2d\u90fd\u5b58\u5728\u7684\u56e0\u6570\uff0c\u5373\u516c\u56e0\u6570\u7531\u4e0e\u591a\u9879\u5f0f\u6bcf\u4e00\u9879\u76f8\u4e58\u7684\u6570\u5b57\u6216\u5b57\u6bcd\u7ec4\u6210\u3002<\/p>\n<p>\u4f5c\u4e3a\u4e00\u4e2a\u4f8b\u5b50\uff0c\u6211\u4eec\u5c06\u786e\u5b9a\u4ee5\u4e0b\u591a\u9879\u5f0f\u7684\u516c\u56e0\u6570\u662f\u4ec0\u4e48\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-55851b062b232cfea5dcd03351860f67_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4x+4y\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"59\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u5728\u7b2c 4 \u9879\uff0c\u591a\u9879\u5f0f\u7684\u6240\u6709\u9879\u90fd\u91cd\u590d\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-85078c48d043da6cc82f7ccd94af281c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\color{red} \\bm{4} \\color{black} x + \\color{red} \\bm{4} \\color{black} y\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"191\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u8be5\u591a\u9879\u5f0f\u7684\u516c\u56e0\u6570\u7b49\u4e8e 4\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-0f4364038f1bfdff454201e0a039ca86_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\text{Factor com\\'un} = 4 {\\phantom{\\frac{1}{2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"139\" style=\"vertical-align: -1px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Como-sacar-o-extraer-factor-comun\"><\/span>\u5982\u4f55\u83b7\u5f97\uff08\u6216\u63d0\u53d6\uff09\u516c\u56e0\u6570<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e86\u89e3\u4e86\u516c\u56e0\u6570\u7684\u542b\u4e49\u540e\uff0c\u8ba9\u6211\u4eec\u770b\u770b\u5982\u4f55\u4ece\u591a\u9879\u5f0f\u4e2d\u83b7\u53d6\u516c\u56e0\u6570\u3002<\/p>\n<p class=\"has-background\" style=\"background-color:#ffebee\">\u5f53\u591a\u9879\u5f0f\u7684\u4e24\u9879\u6216\u591a\u9879\u5177\u6709\u516c\u56e0\u6570\u65f6\uff0c<strong>\u53ef\u4ee5\u53d6\uff08\u6216\u63d0\u53d6\uff09\u8be5\u516c\u56e0\u6570<\/strong>\u6765\u5c06\u591a\u9879\u5f0f\u7684\u52a0\u6cd5\u6216\u51cf\u6cd5\u53d8\u6362\u4e3a\u4e58\u6cd5\u3002<\/p>\n<p>\u8fd9\u770b\u8d77\u6765\u53ef\u80fd\u6709\u70b9\u96be\u5199\uff0c\u6240\u4ee5\u8ba9\u6211\u4eec\u901a\u8fc7\u4e00\u4e2a\u4f8b\u5b50\u6765\u770b\u770b\u5982\u4f55\u4ece\u591a\u9879\u5f0f\u4e2d\u63d0\u53d6\u516c\u56e0\u6570\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\/extraire-ou-supprimer-le-facteur-commun-dun-polynome.png\" alt=\"\u4ece\u591a\u9879\u5f0f\u4e2d\u63d0\u53d6\u6216\u5220\u9664\u516c\u56e0\u5f0f\" class=\"wp-image-1497\" width=\"155\" height=\"156\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u6b63\u5982\u60a8\u5728\u793a\u4f8b\u4e2d\u770b\u5230\u7684\uff0c\u6570\u5b57 5 \u5728\u5355\u9879\u5f0f 5x \u548c\u5355\u9879\u5f0f 5y \u4e2d\u91cd\u590d\u51fa\u73b0\uff0c\u56e0\u6b64\u591a\u9879\u5f0f\u7684\u516c\u56e0\u6570\u4e3a 5\u3002\u56e0\u6b64\uff0c\u4e00\u65e6\u786e\u5b9a\u4e86\u516c\u56e0\u6570\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u5c06\u5355\u9879\u5f0f\u4e4b\u548c\u8f6c\u6362\u4e3a\u4ea7\u54c1\u3002<\/p>\n<p class=\"has-background\" style=\"background-color:#fffde7\">\u63d0\u53d6\u516c\u56e0\u6570\u65f6\u4e0d\u8981\u5fd8\u8bb0\u52a0\u4e0a\u62ec\u53f7\uff0c\u56e0\u4e3a\u516c\u56e0\u6570\u5fc5\u987b\u4e58\u4ee5\u6240\u6709\u52a0\u6570\u3002<\/p>\n<p>\u53bb\u6389\u516c\u56e0\u6570\u5c31\u662f<strong>\u5206\u914d\u5f8b<\/strong>\u7684\u9006\u8fd0\u7b97\uff0c\u5373\u6211\u4eec\u5b9e\u9645\u4e0a\u662f\u5728\u9006\u5411\u5e94\u7528\u5206\u914d\u5f8b\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u603b\u662f\u53ef\u4ee5\u901a\u8fc7\u6267\u884c\u76f8\u53cd\u7684\u8fc7\u7a0b\u6765\u9a8c\u8bc1\u6211\u4eec\u662f\u5426\u6b63\u786e\u63d0\u53d6\u4e86\u516c\u56e0\u5b50\uff1a<\/p>\n<ul>\n<li>\u5982\u679c\u901a\u8fc7\u5e94\u7528\u5206\u914d\u5f8b\u6211\u4eec\u4ece\u4e00\u5f00\u59cb\u5c31\u5f97\u5230\u4e86\u76f8\u540c\u7684\u591a\u9879\u5f0f\uff0c\u8fd9\u610f\u5473\u7740\u6211\u4eec\u5df2\u7ecf\u6b63\u786e\u5730\u5f97\u5230\u4e86\u516c\u56e0\u5b50\u3002<\/li>\n<li>\u53e6\u4e00\u65b9\u9762\uff0c\u5f53\u4f7f\u7528\u5206\u914d\u6027\u7684\u7ed3\u679c\u662f\u53e6\u4e00\u4e2a\u4e0e\u539f\u59cb\u591a\u9879\u5f0f\u4e0d\u540c\u7684\u591a\u9879\u5f0f\u65f6\uff0c\u5219\u610f\u5473\u7740\u6211\u4eec\u5728\u63d0\u53d6\u516c\u56e0\u5b50\u7684\u8fc7\u7a0b\u4e2d\u72af\u4e86\u9519\u8bef\u3002 <\/li>\n<\/ul>\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\/propriete-distributive-du-facteur-commun.jpg\" alt=\"\u516c\u56e0\u6570\u548c\u5206\u914d\u6027\u8d28\" class=\"wp-image-1502\" width=\"317\" height=\"197\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplos-de-sacar-o-extraer-factor-comun\"><\/span>\u516c\u56e0\u6570\u53d6\uff08\u6216\u63d0\u53d6\uff09\u7684\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6211\u4eec\u7ed9\u60a8\u63d0\u4f9b\u66f4\u591a\u793a\u4f8b\u6765\u5b8c\u6210\u5bf9\u516c\u56e0\u6570\u6982\u5ff5\u7684\u7406\u89e3\uff1a<\/p>\n<h3 class=\"wp-block-heading\">\u5b9e\u65bd\u4f8b1<\/h3>\n<p>\u6b63\u5982\u60a8\u5728\u6b64\u793a\u4f8b\u4e2d\u770b\u5230\u7684\uff0c\u53ef\u4ee5\u540c\u65f6\u4ece\u4e24\u4e2a\u4ee5\u4e0a\u7684\u9879\u4e2d\u63d0\u53d6\u516c\u56e0\u5b50\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\/calculateur-de-facteur-commun.jpg\" alt=\"\u516c\u56e0\u6570\u8ba1\u7b97\u5668\" class=\"wp-image-1509\" width=\"231\" height=\"145\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<h3 class=\"wp-block-heading\">\u5b9e\u65bd\u4f8b2<\/h3>\n<p>\u60a8\u8fd8\u53ef\u4ee5\u4ece\u53d8\u91cf\uff08\u6216\u5b57\u6bcd\uff09\u4e2d\u63d0\u53d6\u516c\u56e0\u5b50\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\/extrait-du-facteur-commun-dans-les-expressions-algebriques.jpg\" alt=\"\u63d0\u53d6\u4ee3\u6570\u8868\u8fbe\u5f0f\u4e2d\u7684\u516c\u56e0\u6570\" class=\"wp-image-1512\" width=\"199\" height=\"145\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u5b57\u6bcd x \u4e58\u4ee5\u591a\u9879\u5f0f\u7684\u4e24\u9879\uff0c\u56e0\u6b64\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u5c06\u53d8\u91cf x \u4f5c\u4e3a\u516c\u56e0\u5b50\u6765\u7b80\u5316\u4ee3\u6570\u8868\u8fbe\u5f0f\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u5b9e\u65bd\u4f8b3<\/h3>\n<p>\u5728\u6b64\u793a\u4f8b\u4e2d\uff0c\u7b2c\u4e00\u9879\u7684\u53d8\u91cf x \u4e3a 3 \u6b21\u65b9\uff0c\u7b2c\u4e8c\u9879\u4e2d\u7684 x \u4e3a 2 \u6b21\u65b9\uff0c\u56e0\u6b64\u4e24\u9879\u90fd\u6709\u4e24\u4e2a x\u3002\u56e0\u6b64\uff0c\u516c\u56e0\u5b50\u4e0d\u4ec5\u4ec5\u662f x\uff0c\u800c\u662f x <sup>2<\/sup> \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\/algebre-facteur-commun-de-x-au-carre.jpg\" alt=\"x \u5e73\u65b9\u7684\u4ee3\u6570\u516c\u56e0\u6570\" class=\"wp-image-1515\" width=\"190\" height=\"143\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u53e6\u4e00\u65b9\u9762\uff0c\u8bf7\u6ce8\u610f\uff0c<strong>\u5982\u679c\u591a\u9879\u5f0f\u7684\u516c\u56e0\u5f0f\u4e0e\u4e00\u9879\u5b8c\u5168\u4e00\u81f4\uff0c\u90a3\u4e48\u5f53\u6211\u4eec\u63d0\u53d6\u516c\u56e0\u5f0f\u65f6\uff0c\u6211\u4eec\u5fc5\u987b\u5728\u5176\u4f4d\u7f6e\u4e0a\u653e\u4e00\u4e2a 1<\/strong> \u3002\u5426\u5219\uff0c\u5982\u679c\u6211\u4eec\u6ca1\u6709\u5728\u5176\u4f4d\u7f6e\u4e0a\u653e\u7f6e\u4efb\u4f55\u4e1c\u897f\uff0c\u6211\u4eec\u5c31\u4e0d\u4f1a\u5f97\u5230\u7b49\u6548\u7684\u8868\u8fbe\u5f0f\u3002 <\/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\/comment-extraire-ou-extraire-le-facteur-commun.jpg\" alt=\"\u5982\u4f55\u63d0\u53d6\u6216\u627e\u5230\u516c\u56e0\u5b50\" class=\"wp-image-1516\" width=\"284\" height=\"230\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<h3 class=\"wp-block-heading\">\u5b9e\u65bd\u4f8b4<\/h3>\n<p>\u6709\u65f6\u516c\u56e0\u6570\u5e76\u4e0d\u90a3\u4e48\u660e\u663e\uff0c\u4e5f\u4e0d\u662f\u76f4\u63a5\u53ef\u89c1\u7684\uff0c\u800c\u662f\u5355\u9879\u5f0f<strong>\u7cfb\u6570\u7684\u9664\u6570<\/strong>\u3002\u4f8b\u5982\uff0c\u4ee5\u4e0b\u793a\u4f8b\u4e2d\u7684\u516c\u56e0\u6570\u4e3a 3\uff0c\u56e0\u4e3a 6 \u548c 9 \u7684\u9636\u4e58\u5206\u89e3\u5305\u542b 3\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\/le-plus-grand-facteur-commun.jpg\" alt=\"\u6700\u5927\u516c\u56e0\u6570\" class=\"wp-image-1521\" width=\"235\" height=\"149\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u8fd9\u79cd\u7c7b\u578b\u7684\u516c\u56e0\u6570\u5728\u4e00\u4e9b\u4ee3\u6570\u4e66\u7c4d\u4e2d\u88ab\u79f0\u4e3a<em>\u6700\u5927\u516c\u56e0\u6570<\/em>\uff0c\u56e0\u4e3a\u8be5\u516c\u56e0\u6570\u540c\u65f6\u662f\u591a\u9879\u5f0f\u9879\u7684\u7cfb\u6570\u7684\u6700\u5927\u516c\u56e0\u6570\uff08GCD\uff09\u3002<\/p>\n<p>\u5982\u679c\u60a8\u5df2\u7ecf\u505a\u5230\u4e86\u8fd9\u4e00\u6b65\uff0c\u8fd9\u610f\u5473\u7740\u60a8\u53ef\u80fd\u5df2\u7ecf\u77e5\u9053\u5982\u4f55\u627e\u5230\u591a\u9879\u5f0f\u7684\u516c\u56e0\u5b50\uff0c\u5b8c\u7f8e\u3002\u4f46\u662f\uff0c\u60a8\u662f\u5426\u60f3\u77e5\u9053<span style=\"text-decoration: underline;\">\u516c\u56e0\u6570\u7684\u7528\u9014\u662f\u4ec0\u4e48\uff1f<\/span>\u516c\u56e0\u5f0f\u7684\u4e00\u79cd\u5e94\u7528\u662f\u7528\u4e8e\u5bf9\u591a\u9879\u5f0f\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3\u3002\u5982\u679c\u60a8\u4ecd\u7136\u4e0d\u77e5\u9053\u5b83\u662f\u4ec0\u4e48\uff0c\u5728\u6b64\u94fe\u63a5\u4e2d\u60a8\u53ef\u4ee5\u4e86\u89e3\u4ec0\u4e48\u662f<a href=\"https:\/\/mathority.org\/cn\"><strong><span style=\"text-decoration: underline;\">\u591a\u9879\u5f0f\u56e0\u5f0f\u5206\u89e3<\/span><\/strong><\/a>\u4ee5\u53ca\u4e3a\u4ec0\u4e48\u516c\u56e0\u5f0f\u5bf9\u4e8e\u6267\u884c\u6b64\u591a\u9879\u5f0f\u8fd0\u7b97\u5982\u6b64\u91cd\u8981\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Factor-comun-en-fracciones\"><\/span>\u5206\u6570\u7684\u516c\u56e0\u6570<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u516c\u56e0\u6570\u5bf9\u4e8e\u5c06\u9879\u7b80\u5316\u4e3a\u5206\u5b50\u548c\u5206\u6bcd\u4e3a\u591a\u9879\u5f0f\u7684\u5206\u6570\u4e5f\u975e\u5e38\u6709\u7528\u3002<\/p>\n<p>\u4e3a\u4e86\u4e86\u89e3\u8fd9\u662f\u5982\u4f55\u5b8c\u6210\u7684\uff0c\u8ba9\u6211\u4eec\u4ee5\u7b80\u5316\u4ee5\u4e0b\u5206\u6570\u4e3a\u4f8b\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-926e853d2437425b652f2c47844cf056_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{2x^2+4}{14x+8y}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"68\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p>\u6211\u4eec\u9700\u8981\u505a\u7684\u7b2c\u4e00\u4ef6\u4e8b\u662f\u627e\u5230\u5206\u5b50\u591a\u9879\u5f0f\u548c\u5206\u6bcd\u591a\u9879\u5f0f\u7684\u516c\u56e0\u6570\u3002\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u4e24\u4e2a\u591a\u9879\u5f0f\u7684\u516c\u56e0\u5b50\u662f 2\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-8dc50e00c20a758293d8d2dc74fb8f7c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{\\color{red} \\bm{2} \\color{black}\\cdot x^2+\\color{red} \\bm{2} \\color{black}\\cdot 2 }{\\color{red} \\bm{2} \\color{black}\\cdot 7x+\\color{red} \\bm{2} \\color{black} \\cdot 4y}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"235\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p>\u73b0\u5728\u8ba9\u6211\u4eec\u63d0\u53d6\u4e24\u4e2a\u591a\u9879\u5f0f\u7684\u516c\u56e0\u5b50\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-e66d7e737e76389a6294c4ececffbbd0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{\\color{red} \\bm{2} \\color{black}\\left(x^2+2\\right)}{\\color{red} \\bm{2} \\color{black}\\left(7x+4y\\right)}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"151\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p>\u4e00\u65e6\u6211\u4eec\u83b7\u5f97\u4e86\u4e24\u4e2a\u591a\u9879\u5f0f\u7684\u516c\u56e0\u5b50\uff0c<strong>\u6211\u4eec\u5c31\u9700\u8981\u5220\u9664\u5206\u5b50\u548c\u5206\u6bcd\u4e2d\u91cd\u590d\u7684\u56e0\u5b50<\/strong>\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-5bcc4a8a84c802f1510baebfc8f4f126_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{\\cancel{2}\\left(x^2+2\\right)}{ \\cancel{2}\\left(7x+4y\\right)}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"85\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p>\u603b\u4e4b\uff0c\u7b80\u5316\u5206\u6570\u4e3a\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-f035f7e96fe7afd4c93cef5a93c249f3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{x^2+2}{7x+4y}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"59\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Factor-comun-por-agrupacion\"><\/span>\u6309\u5206\u7ec4\u7684\u516c\u56e0\u6570<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u51cf\u5c11\u591a\u9879\u5f0f\u9879\u7684\u4e00\u79cd\u65b9\u6cd5\u662f<strong>\u901a\u8fc7\u5bf9\u9879\u8fdb\u884c\u5206\u7ec4\u6765\u4f7f\u7528\u516c\u56e0\u5b50\u6cd5<\/strong>\uff0c\u4e5f\u79f0\u4e3a\u53cc\u516c\u56e0\u5b50\u63d0\u53d6\u3002\u987e\u540d\u601d\u4e49\uff0c\u8be5\u8fc7\u7a0b\u5305\u62ec\u901a\u8fc7\u5c06\u591a\u9879\u5f0f\u7684\u9879\u5206\u7ec4\u4e24\u6b21\u6765\u7b80\u5316\u591a\u9879\u5f0f\u7684\u8868\u8fbe\u5f0f\u3002<\/p>\n<p>\u8fd9\u4e2a\u65b9\u6cd5\u6709\u70b9\u590d\u6742\uff0c\u6240\u4ee5\u8ba9\u6211\u4eec\u770b\u770b\u5982\u4f55\u4f7f\u7528\u4ee5\u4e0b\u591a\u9879\u5f0f\u9010\u6b65\u5e94\u7528\u5b83\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-fb6a8ed826038a265d2b21c9d086a8ee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+2x+5x+10\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"139\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p>\u6211\u4eec\u9996\u5148\u9700\u8981\u786e\u5b9a\u4e24\u4e2a\u4e0d\u540c\u7684\u53ef\u80fd\u7684\u516c\u56e0\u6570\uff0c\u56e0\u6b64\u6211\u4eec\u5c06\u591a\u9879\u5f0f\u5206\u4e3a\u4e24\u90e8\u5206\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-d9dfcd08553e61ba0be3791c055bd0ef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x^2+2x)+(5x+10)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"164\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u5143\u7d20 x <sup>2<\/sup>\u548c 2x \u5c06\u5b57\u6bcd x \u4f5c\u4e3a\u516c\u56e0\u6570\uff0c\u9879 5x \u548c 10 \u5c06 5 \u4f5c\u4e3a\u516c\u56e0\u6570\uff08\u56e0\u4e3a 10 \u662f 5 \u7684\u500d\u6570\uff09\u3002\u6240\u4ee5\u6211\u4eec\u6709\u4e24\u4e2a\u5171\u540c\u70b9\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-96393c2563ce4dcedade0d979a6ce9c1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x\\cdot x+2\\cdot x)+(5\\cdot x+5\\cdot 2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"218\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-859b9fdc443c61344efe64ea1c561565_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x(x+2)+5(x+2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"149\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u6700\u540e\uff0c\u7531\u4e8e\u5176\u4f59\u4e24\u4e2a\u591a\u9879\u5f0f\u4e58\u79ef\u7684\u56e0\u5b50\u4e3a (x+2)\uff0c\u56e0\u6b64\u6211\u4eec\u53ef\u4ee5\u5c06\u591a\u9879\u5f0f\u7b80\u5316\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-730e68f7964706bfd88cdf23c0c7376f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x+2)\\cdot (x+5)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"120\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u6b63\u5982\u4f60\u6240\u770b\u5230\u7684\uff0c\u8fd9\u4e2a\u65b9\u6cd5\u4e00\u70b9\u4e5f\u4e0d\u7b80\u5355\u3002\u56e0\u6b64\uff0c\u5982\u679c\u60a8\u6709\u4efb\u4f55\u95ee\u9898\uff0c\u8bf7\u968f\u65f6\u5728\u8bc4\u8bba\u4e2d\u5411\u6211\u4eec\u63d0\u95ee\uff0c\u6211\u4eec\u4f1a\u5c3d\u5feb\u7b54\u590d\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejercicios-resueltos-paso-a-paso-de-factor-comun\"><\/span>\u516c\u56e0\u6570\u7ec3\u4e60\u4e00\u6b65\u4e00\u6b65\u89e3\u51b3<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6211\u4eec\u8ba9\u60a8\u7ec3\u4e60\u51e0\u4e2a\u9010\u6b65\u89e3\u51b3\u7684\u95ee\u9898\uff0c\u4ee5\u4fbf\u60a8\u53ef\u4ee5\u7ec3\u4e60\u4ece\u591a\u9879\u5f0f\u4e2d\u63d0\u53d6\u516c\u56e0\u6570\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e601<\/h3>\n<p>\u4ece\u4ee5\u4e0b\u591a\u9879\u5f0f\u4e2d\u63d0\u53d6\u516c\u56e0\u6570\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-d0ebbf8633cd83e917eef6b61be195f5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 6a+6b\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"83\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8e6c228a58b589aea75d96ac06489ce8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ 3x^2+8x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"93\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6b2f716764369b8748180f11c2088405_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ 2x-4\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"75\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4fe0000a9ab02d158e8e5c238614f2a1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ -5x^4+x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"113\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"><strong>A)<\/strong>\u7ec4\u6210\u7b2c\u4e00\u4e2a\u591a\u9879\u5f0f\u7684\u6240\u6709\u9879\u5747\u4e3a 6\uff0c\u56e0\u6b64\u8be5\u591a\u9879\u5f0f\u7684\u516c\u56e0\u6570\u4e3a 6\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-dcfc02b18324ae47e4f6161c02ed10a8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"6a+6b = 6\\cdot a + 6 \\cdot b = \\bm{6\\cdot (a+b)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"259\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> <strong>B)<\/strong>\u5728\u7b2c\u4e8c\u4e2a\u591a\u9879\u5f0f\u4e2d\uff0c\u5176\u6240\u6709\u5143\u7d20\u90fd\u81f3\u5c11\u6709\u4e00\u4e2a\u5b57\u6bcd x\u3002\u8fd9\u662f\u591a\u9879\u5f0f\u7684\u516c\u56e0\u6570\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-d5397f749d2af52e3d25f47ac6763236_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3x^2+8x = 3x \\cdot x+8\\cdot x= \\bm{x\\cdot (3x+8)}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"296\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> <strong>C)<\/strong>\u591a\u9879\u5f0f\u7684\u7b2c\u4e00\u4e2a\u5355\u9879\u5f0f\u663e\u7136\u662f2\uff0c\u7b2c\u4e8c\u4e2a\u5355\u9879\u5f0f\u662f2\u7684\u500d\u6570\u3002\u6240\u4ee5\u591a\u9879\u5f0f\u7684\u516c\u56e0\u6570\u662f2\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-403fd331c25d97df08b1a6e265b874f7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x-4= 2\\cdot x - 2\\cdot 2 =\\bm{2\\cdot (x-2)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"256\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> <strong>D)<\/strong>\u5728\u6700\u540e\u4e00\u4e2a\u591a\u9879\u5f0f\u4e2d\uff0c\u6240\u6709\u53d8\u91cf\u90fd\u81f3\u5c11\u5e73\u65b9\u3002\u56e0\u6b64\uff0c\u516c\u56e0\u6570\u4e3a x <sup>2<\/sup> \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-9f5b04e6c70d455f570dea79a1caf289_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-5x^4+x^2= -5x^2\\cdot x^2 +1 \\cdot x^2 = \\bm{x^2\\cdot (-5x^2+1)}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"373\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u8bf7\u8bb0\u4f4f\uff0c\u5f53\u516c\u56e0\u6570\u4e0e\u67d0\u4e2a\u9879\u76f8\u540c\u65f6\uff0c\u5fc5\u987b\u5728\u5176\u4f4d\u7f6e\u4e0a\u6dfb\u52a0 1\u3002<\/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>\u8003\u8651\u4ee5\u4e0b\u591a\u9879\u5f0f\u7684\u516c\u56e0\u6570\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-6e62899cc63709635736efb76c383ec0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 8x^2 + 10y^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"109\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9c467706436dd57e76ccd016cd70110a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ 5x^3-2x^2+4x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"141\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-16d9856d9e0d050d484ce1def25a9757_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ 25x^5+15x^3-20\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"158\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a03f69699de681226d47227124a68a5d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\  9x^4-3x^3-21x^2-6x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"199\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"><strong>A)<\/strong>\u6784\u6210\u7b2c\u4e00\u4e2a\u591a\u9879\u5f0f\u7684\u6240\u6709\u5143\u7d20\u7684\u7cfb\u6570\u90fd\u662f 2 \u7684\u500d\u6570\uff0c\u56e0\u6b64\uff0c\u901a\u8fc7\u63d0\u53d6\u516c\u56e0\u5b50\uff0c\u591a\u9879\u5f0f\u53d8\u4e3a\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-7862ee57cf098358e43d3b669e0cb54d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l} 8x^2 + 10y^3  = \\\\[2ex] = 2\\cdot 4x^2 +2\\cdot 5y^3 = \\\\[2ex] = \\bm{2\\left(4x^2+5y^3\\right)} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"154\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> <strong>B)<\/strong>\u591a\u9879\u5f0f\u7684\u6240\u6709\u9879\u4e2d\u81f3\u5c11\u6709\u4e00\u4e2a x\uff0c\u56e0\u6b64\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-39551a1ffc0b98f8b9c037fdcc793b01_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}5x^3-2x^2+4x = \\\\[2ex] = 5x^2\\cdot x-2x\\cdot x+4\\cdot x= \\\\[2ex] =\\bm{x\\left(5x^2-2x+4\\right)}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"203\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> <strong>C)<\/strong>\u591a\u9879\u5f0f\u6240\u6709\u9879\u7684\u7cfb\u6570\u7684\u6700\u5927\u516c\u7ea6\u6570\u4e3a5\uff0c\u56e0\u6b64\u8be5\u591a\u9879\u5f0f\u7684\u516c\u7ea6\u6570\u4e3a5\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-fe8cc019c3511734ff278f68c44066df_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}25x^5+15x^3-20 = \\\\[2ex] =5\\cdot 5x^5+5\\cdot 3x^3-5\\cdot 4 = \\\\[2ex] = \\bm{5\\left(5x^5+3x^3-4\\right)}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"207\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> <strong>D)<\/strong>\u591a\u9879\u5f0f\u4e2d\u7684\u6240\u6709\u9879\u81f3\u5c11\u6709\u4e00\u4e2a x\uff0c\u800c\u4e14\u6240\u6709\u7cfb\u6570\u90fd\u662f 3 \u7684\u500d\u6570\u3002\u56e0\u6b64\uff0c\u591a\u9879\u5f0f\u7684\u516c\u56e0\u5b50\u662f 3x\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-fb70701f39b1050eec730f1591671293_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}9x^4-3x^3-21x^2-6x = \\\\[2ex] = 3x^3\\cdot 3x-x^2\\cdot 3x-7x\\cdot 3x-2\\cdot 3x= \\\\[2ex] = \\bm{3x\\left(3x^3-x^2-7x-2 \\right)}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"301\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e603<\/h3>\n<p>\u627e\u5230\u4ee5\u4e0b\u6bcf\u4e2a\u591a\u9879\u5f0f\u7684\u516c\u56e0\u5f0f\u5e76\u51cf\u53bb\u5b83\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-1d40bfaef04f667f19afd89bed2c5c6b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 4a^2b^5+7a^4b^3-10a^6b^4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"202\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-be1557edebbdaa17ea43aa69cf14a8c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ 16x^4y^7z+8x^2y^2z^2+ 24x^3y^5\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"243\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d493a7783ca2a21e55e60bcf2af7748d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ 6ab^2c^4-6ab^2c+12a^3b^2c\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"217\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d2cc5c9bbb43ac4387ad806fefc4d643_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\  18x^2y+10xy-5xy^3+4z\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"227\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"><strong>A)<\/strong>\u6240\u6709\u5355\u9879\u5f0f\u81f3\u5c11\u6709\u5b57\u6bcd<\/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>\u5e73\u65b9\u548c\u5b57\u6bcd<\/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>\u7acb\u65b9\uff0c\u6240\u4ee5\u516c\u56e0\u6570\u662f<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f369f018d950bc237c46322c9b05d60b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^2b^3:\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"41\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b622844f35f4bd4411c545c352331943_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l} 4a^2b^5+7a^4b^3-10a^6b^4 = \\\\[2ex] = 4b^2\\cdot a^2b^3+7a^2\\cdot a^2b^3-10a^4b\\cdot a^2b^3 = \\\\[2ex] = \\bm{a^2b^3\\left(4b^2+7a^2-10a^4b\\right)} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"308\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"><strong>B)<\/strong>\u591a\u9879\u5f0f\u7684\u6240\u6709\u7cfb\u6570\u90fd\u662f 8 \u7684\u500d\u6570\uff0c\u800c\u4e14\u5b83\u4eec\u81f3\u5c11\u6709 x <sup>2<\/sup>\u548c y <sup>2<\/sup>\u4f5c\u4e3a\u6587\u5b57\u90e8\u5206\u3002\u56e0\u6b64\uff0c\u591a\u9879\u5f0f\u7684\u516c\u56e0\u6570\u4e3a 8x <sup>2<\/sup> y <sup>2<\/sup> \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-2d7018f427d800f6db67335a4d4f238b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}16x^4y^7z+8x^2y^2z^2+ 24x^3y^5 = \\\\[2ex] = 2x^2y^5z \\cdot 8x^2y^2 +z^2\\cdot 8x^2y^2+ 3xy^3\\cdot 8x^2y^2= \\\\[2ex] =\\bm{8x^2y^2\\left(2x^2y^5z+z^2+3xy^3\\right)}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"355\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> <strong>C)<\/strong>\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u516c\u56e0\u5b50\u4e0e\u4e2d\u95f4\u5355\u9879\u5f0f\u7684\u503c\u4e00\u81f4<\/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-57647d998c69941eadc01ee28cf3e5cf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(6ab^2c\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"54\" style=\"vertical-align: -7px;\"><\/p>\n<p>\uff0c\u56e0\u4e3a\u5176\u4ed6\u5355\u9879\u5f0f\u7684\u7cfb\u6570\u662f<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b5c3e12330dabaeec7413281aba0f134_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"6\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u7edd\u5bf9\u6bcf\u4e2a\u4eba\u90fd\u6709<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4302e041ad21bfe7a384223fd3d35f1c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"ab^2c:\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"41\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-76f91563726822a51c7bfe88aa461e6d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}6ab^2c^4-6ab^2c+12a^3b^2c = \\\\[2ex] =c^3\\cdot 6ab^2c -1\\cdot 6ab^2c+2a^2 \\cdot 6ab^2c = \\\\[2ex] = \\bm{6ab^2c\\left(c^3-1+2a^2\\right)}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"292\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"><strong>D)<\/strong>\u5728\u8fd9\u79cd\u7279\u6b8a\u60c5\u51b5\u4e0b\uff0c\u591a\u9879\u5f0f\u6ca1\u6709\u516c\u56e0\u5b50\uff0c\u56e0\u4e3a\u591a\u9879\u5f0f\u7684\u6240\u6709\u9879\u4e2d\u6ca1\u6709\u91cd\u590d\u7684\u56e0\u5b50\u3002\u56e0\u6b64\uff0c\u591a\u9879\u5f0f\u4e0d\u80fd\u8fdb\u884c\u4ee3\u6570\u7b80\u5316\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-3c58c3237bfa4a57d2e87d36b1eebab0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"18x^2y+10xy-5xy^3+4z\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"200\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e604<\/h3>\n<p>\u901a\u8fc7\u53d6\u516c\u56e0\u5b50\u6765\u7b80\u5316\u4ee5\u4e0b\u4ee3\u6570\u5206\u6570\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-73e11e8ebb8c064d2981506461d693c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\cfrac{10x^2+30}{5x-20}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"103\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-401feeca45cc41913c5e9f64d2821535_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\cfrac{16x^2-8}{24x-32}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"95\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b4354346c86ff374869cc9a6029bbcdc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\cfrac{49x^3+7x}{35x^2-14}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"105\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4221a799a5650e5afdab728cb2797be9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\  \\cfrac{8x^4+16x^3-4x^2}{12x^2+20x}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"161\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u5316\u7b80\u4ee3\u6570\u5206\u6570\uff08\u5373\u5177\u6709\u591a\u9879\u5f0f\u7684\u5206\u6570\uff09\u7684\u8fc7\u7a0b\u662f\u4ece\u5206\u6570\u7684\u5206\u5b50\u548c\u5206\u6bcd\u4e2d\u63d0\u53d6\u516c\u56e0\u5b50\uff0c\u7136\u540e\u6d88\u9664\u4e0a\u9762\u548c\u4e0b\u9762\u91cd\u590d\u7684\u56e0\u5b50\u3002\u4f4e\u4e8e\u5206\u6570\u3002\u6240\u4ee5\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-6ce28a7207aa3bccea5a8afae54c8ad5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\quad \\begin{array}{l} \\cfrac{10x^2+30}{5x-20}=  \\cfrac{5\\cdot 2x^2 +5\\cdot 6}{5\\cdot x-5\\cdot 4} = \\\\[4ex] = \\cfrac{5(2x^2+6)}{5(x-4)}= \\cfrac{\\cancel{5}(2x^2+6)}{\\cancel{5}(x-4)} = \\\\[4ex] = \\cfrac{\\bm{2x^2+6}}{\\bm{x-4}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"173\" width=\"276\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a6024cf2af6c13d0d27f7e5d3e675362_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\quad \\begin{array}{l} \\cfrac{16x^2-8}{24x-32} = \\cfrac{8 \\cdot 2x^2+8 \\cdot (-1)}{8 \\cdot 3x-8 \\cdot 4} =\\\\[4ex] = \\cfrac{8(2x^2-1)}{8(3x-4)}= \\cfrac{\\cancel{8}(2x^2-1)}{\\cancel{8}(3x-4)} =\\\\[4ex] = \\cfrac{\\bm{2x^2-1}}{\\bm{3x-4}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"173\" width=\"292\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5678b7c6d631a693a86fad40aa79d030_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\quad \\begin{array}{l}\\cfrac{49x^3+7x}{35x^2-14}=\\cfrac{7x\\cdot 7x^2+7x\\cdot 1}{7 \\cdot 5x^2+7\\cdot (-2)} =\\\\[4ex] = \\cfrac{7x(7x^2+1)}{7(5x^2-2)}= \\cfrac{\\cancel{7}x(7x^2+1)}{\\cancel{7}(5x^2-2)}=\\\\[4ex] = \\cfrac{\\bm{x(7x^2+1)}}{\\bm{5x^2-2}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"173\" width=\"301\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-82199184b3594c18db6888c58fa0bdfc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\quad \\begin{array}{l} \\cfrac{8x^4+16x^3-4x^2}{12x^2+20x}=\\cfrac{4x^2\\cdot 2x^2+4x^2\\cdot 4x+4x^2\\cdot (-1)}{4x\\cdot 3x+4x\\cdot 5}=\\\\[4ex] = \\cfrac{4x^2(2x^2+4x-1)}{4x(3x+5)}= \\cfrac{\\cancel{4}x^{\\cancel{2}}(2x^2+4x-1)}{\\cancel{4}\\cancel{x}(3x+5)}=\\\\[4ex] = \\cfrac{\\bm{x(2x^2+4x-1)}}{\\bm{3x+5}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"175\" width=\"474\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e605<\/h3>\n<p>\u53d6\u4e0b\u5217\u591a\u9879\u5f0f\u7684\u516c\u56e0\u6570\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-8e5c91e0867615671956c23daf199f56_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\cfrac{7}{3}x^2+ \\cfrac{8}{3}x-\\cfrac{2}{3}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"130\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-861358103d4265a73b6bf2c12a5c315d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\sqrt{12x^3+16}\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"115\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-592bb1e112ee966a6c8266f8453176d5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ x^2+4x-3x-12\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"163\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6ea1c6302c0ee60f46718b42a2741bf3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\  \\cfrac{3}{4}x^2+ \\cfrac{1}{2}x-\\cfrac{5}{6}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"130\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"><strong>A)<\/strong>\u591a\u9879\u5f0f\u7684\u6240\u6709\u9879\u90fd\u53ef\u4ee5\u5206\u89e3\u4e3a\u4e09\u6b21\u9636\u4e58\uff0c\u56e0\u6b64\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-66174ecc5c7264ae95507f632d1f2630_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l} \\cfrac{7}{3}x^2+ \\cfrac{8}{3}x-\\cfrac{2}{3}= \\\\[3ex] = \\cfrac{1}{3}\\cdot 7x^2+ \\cfrac{1}{3}\\cdot 8x-\\cfrac{1}{3}\\cdot 2 = \\\\[3ex] = \\mathbf{\\cfrac{1}{3}}\\bm{\\left(7x^2+8x-2\\right)} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"156\" width=\"205\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> <strong>B)<\/strong>\u6839\u5185\u591a\u9879\u5f0f\u7684\u516c\u56e0\u6570\u4e3a 4\uff0c\u90a3\u4e48\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u8ba1\u7b97\u5176\u5e73\u65b9\u6839\u6765\u8f93\u51fa\u516c\u56e0\u6570\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-3a362644fe5b22fefc962f164db26f5e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}\\sqrt{12x^3+16}= \\\\[2ex] =\\sqrt{4\\cdot 3x^3+4\\cdot 4}= \\\\[2ex]=\\sqrt{4\\left(3x^3+4\\right)}= \\\\[2ex] =\\bm{2\\sqrt{3x^3+4}}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"133\" width=\"152\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> <strong>C)<\/strong>\u5728\u8fd9\u4e2a\u591a\u9879\u5f0f\u4e2d\uff0c\u6211\u4eec\u53ef\u4ee5\u5e94\u7528\u901a\u8fc7\u5206\u7ec4\u6765\u63d0\u53d6\u516c\u56e0\u5b50\u7684\u8fc7\u7a0b\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-fd43d5f40797c39b0401769ff392d9e5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}x^2+4x-3x-12= \\\\[2ex] =x(x+4)-3(x+4) = \\\\[2ex] = \\bm{(x+4)(x-3)}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"95\" width=\"186\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> <strong>D)<\/strong>\u591a\u9879\u5f0f\u7684\u6240\u6709\u5206\u6570\u7cfb\u6570\u90fd\u662f\u4e00\u534a\u7684\u500d\u6570\uff0c\u56e0\u6b64\u591a\u9879\u5f0f\u7684\u516c\u56e0\u6570\u662f 1\/2\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-a35ab3db2e1f1197d6652e6d4d0a8a8a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}\\displaystyle \\frac{3}{4}x^2+ \\frac{1}{2}x-\\frac{5}{6}= \\\\[4ex] \\displaystyle = \\frac{1}{2}\\cdot\\frac{3}{2}x^2+ \\frac{1}{2}\\cdot x-\\frac{1}{2}\\cdot\\frac{5}{3}= \\\\[4ex] \\displaystyle = \\mathbf{\\frac{1}{2}}\\bm{\\left(}\\mathbf{\\frac{3}{2}}\\bm{x^2+x-}\\mathbf{\\frac{5}{3}} \\bm{\\right)}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"166\" width=\"210\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<p> \ud83d\udc47\ud83d\udc47\ud83d\udc47 \u770b\u5b8c\u8fd9\u4e2a\u89e3\u91ca\u4f60\u89c9\u5f97\u600e\u4e48\u6837\uff1f\u4f60\u559c\u6b22\u5b83\u5417\uff1f\u53e6\u8bf7\u8bb0\u4f4f\uff0c\u5982\u679c\u60a8\u5bf9\u5982\u4f55\u786e\u5b9a\u591a\u9879\u5f0f\u7684\u516c\u56e0\u5f0f\u6709\u4efb\u4f55\u7591\u95ee\uff0c\u6216\u8005\u60a8\u4e0d\u7406\u89e3\u67d0\u4e2a\u7ec3\u4e60\uff0c\u60a8\u53ef\u4ee5\u968f\u65f6\u5728\u8bc4\u8bba\u4e2d\u8be2\u95ee\u6211\u4eec\uff0c\u6211\u4eec\u4f1a\u56de\u7b54\u60a8\u3002 \ud83d\udc47\ud83d\udc47\ud83d\udc47<\/p>\n<div id=\"ezoic-pub-ad-placeholder-176\" data-inserter-version=\"-1\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u672c\u9875\u4e2d\uff0c\u6211\u4eec\u89e3\u91ca\u5982\u4f55\u83b7\u53d6\uff08\u6216\u63d0\u53d6\uff09\u591a\u9879\u5f0f\u7684\u516c\u56e0\u5f0f\u3002\u5728\u8fd9\u91cc\u60a8\u5c06\u627e\u5230\u4e0d\u540c\u7c7b\u578b\u7684\u516c\u56e0\u6570\uff0c\u5e76\u4e14\u60a8\u5c06\u80fd\u591f\u770b\u5230\u5982\u4f55\u5b9e\u73b0\u8fd9 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e6%91%98%e5%bd%95-%e6%91%98%e5%bd%95-%e7%bb%83%e4%b9%a0-%e5%85%ac%e5%9b%a0%e6%95%b0-%e5%b7%b2%e8%a7%a3%e5%86%b3%e7%9a%84%e4%be%8b%e5%ad%90\/\"> <span class=\"screen-reader-text\">\u63d0\u53d6\u6216\u5220\u9664\u516c\u56e0\u5b50<\/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":[16],"tags":[],"class_list":["post-58","post","type-post","status-publish","format-standard","hentry","category-16"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 \u5982\u4f55\u53bb\u9664\uff08\u6216\u63d0\u53d6\uff09\u516c\u56e0\u6570\u2705\uff08\u5df2\u89e3\u51b3\u7684\u7ec3\u4e60\uff09<\/title>\n<meta name=\"description\" content=\"\u6211\u4eec\u89e3\u91ca\u5b83\u662f\u4ec0\u4e48\u4ee5\u53ca\u5982\u4f55\u4ece\u591a\u9879\u5f0f\u4e2d\u5220\u9664\uff08\u6216\u63d0\u53d6\uff09\u516c\u56e0\u5f0f\u3002 \u2705 \u6b64\u5916\uff0c\u60a8\u5c06\u80fd\u591f\u770b\u5230\u9010\u6b65\u89e3\u51b3\u7684\u793a\u4f8b\u548c\u7ec3\u4e60\u3002 \u2705\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathority.org\/cn\/\u6458\u5f55-\u6458\u5f55-\u7ec3\u4e60-\u516c\u56e0\u6570-\u5df2\u89e3\u51b3\u7684\u4f8b\u5b50\/\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" 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