{"id":331,"date":"2023-07-06T06:31:47","date_gmt":"2023-07-06T06:31:47","guid":{"rendered":"https:\/\/mathority.org\/ja\/%e4%ba%8c%e9%a0%85%e4%b8%89%e4%b9%97\/"},"modified":"2023-07-06T06:31:47","modified_gmt":"2023-07-06T06:31:47","slug":"%e4%ba%8c%e9%a0%85%e4%b8%89%e4%b9%97","status":"publish","type":"post","link":"https:\/\/mathority.org\/ja\/%e4%ba%8c%e9%a0%85%e4%b8%89%e4%b9%97\/","title":{"rendered":"\u4e8c\u9805\u7acb\u65b9\u4f53"},"content":{"rendered":"<p>\u3053\u3053\u3067\u306f\u3001\u4e8c\u9805\u4e09\u4e57 (\u516c\u5f0f) \u306e\u6ce8\u76ee\u3059\u3079\u304d\u7a4d (a+b) <sup>3<\/sup>\u307e\u305f\u306f (ab) <sup>3<\/sup>\u306e\u5206\u89e3\u80fd\u306e\u8aac\u660e\u304c\u898b\u3064\u304b\u308a\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u4e8c\u9805\u304b\u3089\u7acb\u65b9\u4f53\u307e\u3067\u6bb5\u968e\u7684\u306b\u89e3\u6c7a\u3055\u308c\u308b\u4f8b\u3068\u6f14\u7fd2\u3092\u898b\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-un-binomio-al-cubo\"><\/span> 3 \u4e57\u4e8c\u9805\u5f0f\u3068\u306f\u4f55\u3067\u3059\u304b?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> 3<strong>\u4e57\u4e8c\u9805\u5f0f\u306f<\/strong>\u30012 \u3064\u306e\u9805\u306e 3 \u4e57\u3067\u69cb\u6210\u3055\u308c\u308b\u591a\u9805\u5f0f\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u30013 \u4e57\u4e8c\u9805\u5f0f\u306e\u4ee3\u6570\u5f0f\u306f\u3001\u5358\u9805\u5f0f\u3092\u52a0\u7b97\u3059\u308b\u304b\u6e1b\u7b97\u3059\u308b\u304b\u306b\u5fdc\u3058\u3066\u3001 <strong>(a+b) <sup>3<\/sup><\/strong>\u307e\u305f\u306f<strong>(ab) <sup>3<\/sup>\u306b<\/strong>\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u3055\u3089\u306b\u30013 \u4e57\u4e8c\u9805\u306f\u6ce8\u76ee\u3059\u3079\u304d\u30a2\u30a4\u30c7\u30f3\u30c6\u30a3\u30c6\u30a3 (\u307e\u305f\u306f\u6ce8\u76ee\u3059\u3079\u304d\u88fd\u54c1) \u306e 1 \u3064\u3067\u3059\u3002\u3088\u308a\u6b63\u78ba\u306b\u306f\u3001\u305d\u308c\u306f<strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ja\/\u6052\u7b49\u7a4d-\u6ce8\u76ee\u3059\u3078\u3099\u304d\u7b49\u4fa1\u6027-\u89e3\u6c7a\u6e08\u307f\u6f14\u7fd2\/\">\u7acb\u65b9\u4f53 (\u307e\u305f\u306f\u7acb\u65b9\u4f53) \u306e\u6ce8\u76ee\u3059\u3079\u304d\u30a2\u30a4\u30c7\u30f3\u30c6\u30a3\u30c6\u30a3\u306e<\/a><\/span><\/strong>1 \u3064\u306b\u5bfe\u5fdc\u3057\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Formula-del-binomio-al-cubo\"><\/span>\u4e8c\u9805\u7acb\u65b9\u4f53\u306e\u516c\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e8c\u9805\u4e09\u4e57\u306e\u5b9a\u7fa9\u3067\u898b\u305f\u3088\u3046\u306b\u3001\u3053\u306e\u30bf\u30a4\u30d7\u306e\u6ce8\u76ee\u3059\u3079\u304d\u6052\u7b49\u5f0f\u306f\u52a0\u7b97\u307e\u305f\u306f\u6e1b\u7b97\u3067\u69cb\u6210\u3055\u308c\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u6b63\u306e\u4e8c\u9805\u5f0f\u304b\u8ca0\u306e\u4e8c\u9805\u5f0f\u304b\u306b\u3088\u3063\u3066\u5f0f\u304c\u82e5\u5e72\u7570\u306a\u308b\u305f\u3081\u3001\u305d\u308c\u305e\u308c\u306e\u30b1\u30fc\u30b9\u3092\u500b\u5225\u306b\u898b\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Cubo-de-una-suma\"><\/span>\u548c\u306e\u7acb\u65b9\u4f53<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u5408\u8a08\u304c 3 \u4e57\u3055\u308c\u308b\u5834\u5408\u3001\u5408\u8a08\u306e 3 \u4e57\u306e\u516c\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u8a08\u7b97\u3067\u304d\u307e\u3059\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\/binome-dune-somme-ou-somme-au-cube-formule.png\" alt=\"3 \u4e57\u548c\u306e\u516c\u5f0f\u306e\u4e8c\u9805\u5f0f\" class=\"wp-image-2810\" width=\"286\" height=\"286\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u4e8c\u9805\u306e 3 \u4e57 (\u52a0\u7b97) \u306f\u3001\u6700\u521d\u306e 3 \u4e57\u30011 \u756a\u76ee\u306e 2 \u4e57\u306e 3 \u500d\u306b 2 \u756a\u76ee\u306e\u5024\u3092\u639b\u3051\u305f\u3082\u306e\u30011 \u756a\u76ee\u306e 3 \u4e57\u306b 2 \u756a\u76ee\u306e 2 \u4e57\u3092\u639b\u3051\u305f\u3082\u306e\u30012 \u756a\u76ee\u306e 3 \u4e57\u3092\u52a0\u3048\u305f\u3082\u306e\u3068\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u4e8c\u9805\u5f0f\u306e\u4e09\u4e57\u3092\u8a08\u7b97\u3059\u308b\u5225\u306e\u65b9\u6cd5\u306f\u3001\u30cb\u30e5\u30fc\u30c8\u30f3\u306e\u4e8c\u9805\u5f0f (\u307e\u305f\u306f\u4e8c\u9805\u5b9a\u7406) \u3067\u3059\u3002\u3053\u306e\u5b9a\u7406\u306e\u8aac\u660e\u3092\u542b\u3080\u6b21\u306e\u30ea\u30f3\u30af\u3092\u6b8b\u3057\u307e\u3059\u3002\u3053\u306e\u516c\u5f0f\u3092\u77e5\u3063\u3066\u304a\u304f\u3068\u975e\u5e38\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002\u3053\u306e\u516c\u5f0f\u306f\u30013 \u6b21\u306e\u4e8c\u9805\u7d2f\u4e57\u3060\u3051\u3067\u306a\u304f\u3001\u3088\u308a\u9ad8\u6b21\u306e\u6307\u6570\u306b\u3082\u6a5f\u80fd\u3059\u308b\u305f\u3081\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u306e\u30ea\u30f3\u30af\u3092\u30af\u30ea\u30c3\u30af\u3057\u3066<strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ja\/\u4e8c\u9805\u307e\u305f\u306f\u30cb\u30e5\u30fc\u30c8\u30f3\u306e\u4e8c\u9805\u5b9a\u7406\u306e\u516c\u5f0f\u3068\u6f14\u7fd2\u554f\u984c\/\">\u3001\u89e3\u6c7a\u6e08\u307f\u306e\u30cb\u30e5\u30fc\u30c8\u30f3\u4e8c\u9805\u6f14\u7fd2<\/a><\/span><\/strong>\u3092\u78ba\u8a8d\u3057\u3001\u7df4\u7fd2\u3067\u304d\u308b\u3088\u3046\u306b\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Cubo-de-una-diferencia\"><\/span>\u9055\u3044\u306e\u7acb\u65b9\u4f53<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u4e00\u65b9\u3001\u548c\u306e\u4ee3\u308f\u308a\u306b\u5dee (\u307e\u305f\u306f\u6e1b\u7b97) \u3092 3 \u4e57\u3057\u305f\u5834\u5408\u30013 \u4e57\u306b\u5bfe\u3059\u308b\u4e8c\u9805\u5f0f\u306e\u5f0f\u306f\u5076\u6570\u9805\u306e\u7b26\u53f7\u304c\u5909\u308f\u308a\u307e\u3059\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\/binome-dune-soustraction-de-difference-de-la-formule-du-cube.png\" alt=\"\u7acb\u65b9\u4f53\u306e\u516c\u5f0f\u306b\u5bfe\u3059\u308b\u5dee\u307e\u305f\u306f\u6e1b\u7b97\u306e\u4e8c\u9805\u5f0f\" class=\"wp-image-2811\" width=\"286\" height=\"286\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u4e8c\u9805\u306e 3 \u4e57 (\u6e1b\u7b97) \u306f\u3001\u6700\u521d\u306e 3 \u4e57\u304b\u3089 2 \u756a\u76ee\u306e 2 \u4e57\u306e 3 \u500d\u3092\u5f15\u3044\u305f\u3082\u306e\u30012 \u756a\u76ee\u306e 2 \u4e57\u306e 3 \u500d\u304b\u3089 2 \u756a\u76ee\u306e 3 \u4e57\u3092\u5f15\u3044\u305f\u3082\u306e\u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u548c\u306e 3 \u4e57\u3068\u5dee\u306e 3 \u4e57\u306e\u516c\u5f0f\u304c\u7570\u306a\u308b\u552f\u4e00\u306e\u65b9\u6cd5\u306f\u30012 \u756a\u76ee\u3068 4 \u756a\u76ee\u306e\u9805\u306e\u7b26\u53f7\u3067\u3059\u3002\u3053\u308c\u306f\u3001\u548c\u306e\u4e8c\u9805\u5f0f\u3067\u306f\u3059\u3079\u3066\u304c\u6b63\u3067\u3042\u308a\u3001\u305d\u306e\u9006\u3067\u3042\u308b\u305f\u3081\u3067\u3059\u3002\u6e1b\u7b97\u306e\u4e8c\u9805\u5f0f\u306f\u4e21\u65b9\u3068\u3082\u8ca0\u3067\u3059\u3002<\/p>\n<p>\u548c\u4e8c\u9805\u3068\u5dee\u4e8c\u9805\u304c\u4f55\u3067\u3042\u308b\u304b\u3092\u898b\u3066\u304d\u307e\u3057\u305f\u3002 2 \u3064\u306e\u4e8c\u9805\u5f0f\u306e<strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ja\/\u548c\u3068\u5dee\u306e\u7a4d\u3092\u6c42\u3081\u308b\u516c\u5f0f\/\">\u5dee\u306b\u3088\u308b\u5408\u8a08\u3082<\/a><\/span><\/strong>\u6ce8\u76ee\u3059\u3079\u304d\u6052\u7b49\u3067\u3042\u308a\u3001\u5b9f\u969b\u3001\u3053\u308c\u306f\u30c8\u30c3\u30d7 3 (\u6700\u3082\u91cd\u8981\u306a) \u306e\u4e00\u90e8\u3067\u3042\u308b\u3053\u3068\u3092\u77e5\u3063\u3066\u304a\u304f\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u30ea\u30f3\u30af\u5148\u306e\u30da\u30fc\u30b8\u3067\u3001\u548c\u3068\u5dee\u306e\u8a08\u7b97\u5f0f\u3068\u305d\u306e\u9069\u7528\u65b9\u6cd5\u3092\u78ba\u8a8d\u3067\u304d\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplos-de-binomios-al-cubo\"><\/span> 3 \u4e57\u4e8c\u9805\u5f0f\u306e\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u548c\u306e 3 \u4e57\u306e\u516c\u5f0f\u3068\u5dee\u306e 3 \u4e57\u306e\u516c\u5f0f\u304c\u308f\u304b\u3063\u305f\u306e\u3067\u3001\u6982\u5ff5\u306e\u7406\u89e3\u3092\u5b8c\u4e86\u3059\u308b\u305f\u3081\u306b\u3001\u5404\u30bf\u30a4\u30d7\u306e\u4e8c\u9805\u306e 3 \u4e57\u3092\u89e3\u304f\u4f8b\u3092\u898b\u3066\u3044\u304d\u307e\u3059\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplo-del-cubo-de-una-suma\"><\/span>\u548c\u306e3\u4e57\u306e\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>\u6b21\u306e\u5f0f\u3092\u9069\u7528\u3057\u3066\u3001\u4e8c\u9805\u5f0f\u3092\u6b21\u306e\u7acb\u65b9\u4f53\u306b\u89e3\u304d\u307e\u3059\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-9b6665bb45814802bf3d7dbb8b68c771_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x+2)^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"61\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u3053\u306e\u554f\u984c\u306b\u306f\u30012 \u3064\u306e\u9805\u304c\u6b63\u3067\u3042\u308b\u4e8c\u9805\u5f0f\u304c\u3042\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u30013 \u4e57\u5408\u8a08\u306e\u516c\u5f0f\u3092\u9069\u7528\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\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-536cf8075ed9dc1e16eb5da114b79756_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)^3 = a^3+3a^2b+3ab^2 +b^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"247\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u6b21\u306b\u3001\u30d1\u30e9\u30e1\u30fc\u30bf\u306e\u5024\u3092\u898b\u3064\u3051\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\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-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>\u305d\u3057\u3066<\/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>\u5f0f\u306e\u3002\u3053\u306e\u5834\u5408\u3001<\/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>\u5909\u6570\u306b\u5bfe\u5fdc\u3059\u308b<\/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>\u305d\u3057\u3066<\/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>\u306f2\u756a\u3067\u3059\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-909b3b4a2f976c165f160a6765b3ed9d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left. \\begin{array}{l} (a+b)^3\\\\[2ex] (x+2)^3 \\end{array} \\color{red} \\right\\} \\quad \\color{red}\\bm{\\longrightarrow}\\quad  \\color{black} \\begin{array}{c} a=x \\\\[2ex] b=2 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"295\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u6b21\u306e\u5024\u3092\u4ee3\u5165\u3057\u3066\u4e8c\u9805\u306e 3 \u4e57\u3092\u8a08\u7b97\u3057\u307e\u3059\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-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>\u305d\u3057\u3066\u306e<\/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>\u5f0f\u306e\u4e2d\u3067: <\/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\/exemple-dun-binome-somme-et-difference-au-cube.jpg\" alt=\"\u4e8c\u9805\u306e\u548c\u3068\u5dee\u306e\u4e09\u4e57\u306e\u4f8b\" class=\"wp-image-2468\" width=\"419\" height=\"168\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplo-del-cubo-de-una-diferencia\"><\/span>\u5dee\u5206\u30ad\u30e5\u30fc\u30d6\u306e\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>\u5bfe\u5fdc\u3059\u308b\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u3001\u6b21\u306e 3 \u4e57\u4e8c\u9805 (\u5dee) \u3092\u8a08\u7b97\u3057\u307e\u3059\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-fb0dbc34da8cea6a7d6622c9a3c5faba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(3x-2)^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"70\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u3053\u306e\u6f14\u7fd2\u3067\u306f\u3001\u6b63\u306e\u8981\u7d20\u3068\u8ca0\u306e\u8981\u7d20\u3092\u6301\u3064\u30da\u30a2\u304c\u3042\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u5dee\u306e 3 \u4e57\u3092\u6c42\u3081\u308b\u516c\u5f0f\u3092\u4f7f\u7528\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\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-746a96ec30fac619eedf62054c377fe5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a-b)^3 = a^3-3a^2b+3ab^2 -b^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"247\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u672a\u77e5\u6570\u306e\u5024\u3092\u7279\u5b9a\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\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-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>\u305d\u3057\u3066<\/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>\u5f0f\u306e\u3002\u3053\u306e\u5834\u5408\u3001<\/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>\u306f\u5358\u9805\u5f0f\u306e 3x \u3092\u8868\u3057\u3001<\/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>\u306f\u4e8c\u9805\u5f0f\u306e\u72ec\u7acb\u9805\u3001\u3064\u307e\u308a 2 \u3067\u3059\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-a792ec6dead8466ec6a2cb2a43d9fab4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left. \\begin{array}{l} (a-b)^3\\\\[2ex] (3x-2)^3 \\end{array} \\color{red} \\right\\} \\quad \\color{red}\\bm{\\longrightarrow}\\quad  \\color{black} \\begin{array}{c} a=3x \\\\[2ex] b=2 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"313\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u30d1\u30e9\u30e1\u30fc\u30bf\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044<\/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-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>\u6570\u5024\u306e\u8ca0\u7b26\u53f7\u306a\u3057\u3067\u3001\u5358\u7d14\u306b 2 \u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002\u516c\u5f0f\u3092\u9069\u5207\u306b\u9069\u7528\u3059\u308b\u306b\u306f\u3001\u3053\u306e\u70b9\u306b\u7559\u610f\u3059\u308b\u3053\u3068\u304c\u91cd\u8981\u3067\u3059\u3002<\/p>\n<p>\u6700\u5f8c\u306b\u3001\u6b21\u306e\u5024\u3092\u5165\u308c\u3066\u4e8c\u9805\u4e09\u4e57\u3092\u89e3\u304d\u307e\u3059\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-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>\u305d\u3057\u3066\u306e<\/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>\u5f0f\u306e\u4e2d\u3067: <\/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\/binome-cube-negatif-parfait.jpg\" alt=\"\u8ca0\u306e\u5b8c\u5168\u7acb\u65b9\u4f53\u4e8c\u9805\u5f0f\" class=\"wp-image-2476\" width=\"501\" height=\"169\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Demostracion-de-la-formula-del-binomio-al-cubo\"><\/span>\u4e8c\u9805\u7acb\u65b9\u4f53\u306e\u516c\u5f0f\u306e\u8a3c\u660e<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6b21\u306b\u30013 \u4e57\u4e8c\u9805\u5f0f\u306e\u516c\u5f0f\u3092\u793a\u3057\u307e\u3059\u3002\u660e\u3089\u304b\u306b\u305d\u308c\u3092\u77e5\u308b\u5fc5\u8981\u306f\u3042\u308a\u307e\u305b\u3093\u304c\u3001\u516c\u5f0f\u306e\u80cc\u5f8c\u306b\u3042\u308b\u4ee3\u6570\u3092\u7406\u89e3\u3057\u3066\u304a\u304f\u3053\u3068\u306f\u5e38\u306b\u826f\u3044\u3053\u3068\u3067\u3059\u3002<\/p>\n<p>\u6b63\u306e 3 \u4e57\u4e8c\u9805\u5f0f\u304b\u3089:<\/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-380239d5f1b18e11f3b6b0931a4f14d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"59\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u4e0a\u8a18\u306e\u5f0f\u306f\u3001\u4fc2\u6570\u306e\u7a4d\u306b\u6570\u5b66\u7684\u306b\u5206\u89e3\u3067\u304d\u307e\u3059\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-2cfde4aacc08aae1ed70fe5f7b2f74de_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"51\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u305d\u306e\u6b63\u65b9\u5f62\u306b\u3088\u3063\u3066:<\/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-d89c1125bf18f5ec3b34a3bc8e4de45b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)^3=(a+b)\\cdot (a+b)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"208\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u3055\u3089\u306b\u3001\u30da\u30a2\u306f\u3001<\/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-2cfde4aacc08aae1ed70fe5f7b2f74de_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"51\" style=\"vertical-align: -5px;\"><\/p>\n<p> 2 \u306b\u4e0a\u3052\u308b\u3068\u3001\u3053\u308c\u306f\u9855\u8457\u306a\u6052\u7b49\u6027\u3068\u306a\u308b\u305f\u3081\u3001 <a href=\"https:\/\/mathority.org\/ja\/\u548c\u306e\u4e8c\u4e57\u307e\u305f\u306f\u4e8c\u4e57\u548c\/\"><strong><span style=\"text-decoration: underline;\">\u548c\u306e 2 \u4e57\u306e\u516c\u5f0f<\/span><\/strong><\/a>\u3067\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\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-4b1c6920425dd90a9526a1eaccf056b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)\\cdot (a+b)^2=(a+b)\\cdot (a^2+2ab+b^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"328\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u6b21\u306b\u3001\u5206\u914d\u30d7\u30ed\u30d1\u30c6\u30a3\u3092\u4f7f\u7528\u3057\u3066 2 \u3064\u306e\u62ec\u5f27\u3092\u4e57\u7b97\u3057\u307e\u3059\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-06771ecbb13542eae2a68477f849d729_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} (a+b)\\cdot (a^2+2ab+b^2) &amp; = a\\cdot a^2 +a\\cdot 2ab + a\\cdot b^2+b\\cdot a^2 +b\\cdot 2ab +b \\cdot b^2 \\\\[2ex] &amp; = a^3+2a^2b+ab^2+ba^2+2ab^2+b^3 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"62\" width=\"555\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u305d\u3057\u3066\u6700\u5f8c\u306b\u3001\u4f3c\u3066\u3044\u308b\u7528\u8a9e\u3092\u30b0\u30eb\u30fc\u30d7\u5316\u3059\u308b\u3060\u3051\u3067\u3059\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-27d0da0e0e3ce760508c47f425fd1d68_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^3+2a^2b+ab^2+ba^2+2ab^2+b^3 = a^3+3a^2b+3ab^2+b^3\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"445\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p> 3 \u4e57\u4e8c\u9805\u5f0f\u306e\u5f0f\u3092\u691c\u8a3c\u3059\u308b\u306b\u306f:<\/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-536cf8075ed9dc1e16eb5da114b79756_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)^3 = a^3+3a^2b+3ab^2 +b^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"247\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u8ad6\u7406\u7684\u306b\u306f\u3001\u8ca0\u306e\u4e8c\u9805\u7acb\u65b9\u4f53\u306e\u516c\u5f0f\u3092\u63a8\u5b9a\u3059\u308b\u306b\u306f\u3001\u5148\u307b\u3069\u3068\u540c\u3058\u624b\u9806\u306b\u5f93\u3044\u307e\u3059\u304c\u3001\u6b21\u306e\u9805\u304b\u3089\u59cb\u3081\u307e\u3059\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-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>\u770b\u677f\u3092\u5909\u3048\u305f\u3002<\/p>\n<p>\u4e00\u65b9\u30013 \u4e57\u4e8c\u9805\u5f0f\u306e\u516c\u5f0f\u306f<a href=\"https:\/\/mathority.org\/ja\/\u30bf\u30eb\u30bf\u30fc\u30ea\u30a2\u307e\u305f\u306f\u30cf\u309a\u30b9\u30ab\u30eb\u306e\u4e09\u89d2\u5f62\/\"><strong><span style=\"text-decoration: underline;\">\u3001\u30d1\u30b9\u30ab\u30eb (\u307e\u305f\u306f\u30bf\u30eb\u30bf\u30fc\u30ea\u30a2) \u306e\u4e09\u89d2\u5f62 \u3092<\/span><\/strong><\/a>\u4f7f\u7528\u3057\u3066\u8a3c\u660e\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002\u3053\u306e\u6570\u5b66\u7684\u30c8\u30ea\u30c3\u30af\u304c\u4f55\u306a\u306e\u304b\u308f\u304b\u3089\u306a\u3044\u5834\u5408\u306e\u305f\u3081\u306b\u3001\u30b9\u30c6\u30c3\u30d7\u30d0\u30a4\u30b9\u30c6\u30c3\u30d7\u3067\u8aac\u660e\u3055\u308c\u3066\u3044\u308b\u3053\u306e\u30ea\u30f3\u30af\u3092\u6b8b\u3057\u3066\u304a\u304d\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u3053\u306e\u975e\u5e38\u306b\u7279\u6b8a\u306a\u4ee3\u6570\u4e09\u89d2\u5f62\u306e\u3059\u3079\u3066\u306e\u5fdc\u7528\u4f8b\u3068\u305d\u306e\u6b74\u53f2\u3092\u77e5\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejercicios-resueltos-de-binomios-al-cubo\"><\/span>\u4e8c\u9805\u7acb\u65b9\u4f53\u306e\u554f\u984c\u3092\u89e3\u6c7a\u3057\u307e\u3057\u305f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e8c\u9805\u5f0f\u306e 3 \u4e57\u306e\u8a08\u7b97\u306b\u3064\u3044\u3066\u4eca\u898b\u305f\u7406\u8ad6\u3092\u7df4\u7fd2\u3067\u304d\u308b\u3088\u3046\u306b\u3001\u4e8c\u9805\u5f0f\u304b\u3089\u7acb\u65b9\u4f53\u307e\u3067\u3092\u6bb5\u968e\u7684\u306b\u89e3\u304f\u6f14\u7fd2\u3092\u3044\u304f\u3064\u304b\u7528\u610f\u3057\u307e\u3057\u305f\u3002<\/p>\n<p>\u3053\u306e\u8aac\u660e\u306b\u3064\u3044\u3066\u306e\u3054\u610f\u898b\u3092\u305c\u3072\u304a\u805e\u304b\u305b\u304f\u3060\u3055\u3044\u3002\u307e\u305f\u3001\u4f55\u304b\u8cea\u554f\u304c\u3042\u308c\u3070\u8cea\u554f\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002 \ud83d\udc4d\ud83d\udc4d\ud83d\udc4d<\/p>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 1<\/h3>\n<p>\u6b21\u306e 3 \u4e57\u4e8c\u9805\u5f0f\u3092\u6c42\u3081\u307e\u3059\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-ca75501df4056045f750323893bee27c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ (x+4)^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"88\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f1ae5aad30adde91e86d6bb696b6adc4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\left(x^2-5\\right)^3\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"100\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-debc2fbed1f43204a1d3b191ce697175_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\left(2x-1\\right)^3\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"99\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-641ad931932e2d32742c712339a76903_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ (5x+2)^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"97\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u53c2\u7167<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u554f\u984c\u306e\u6ce8\u76ee\u3059\u3079\u304d\u6b63\u4f53\u3092\u3059\u3079\u3066\u898b\u3064\u3051\u308b\u306b\u306f\u3001\u52a0\u7b97\u304b\u6e1b\u7b97\u304b\u306b\u5fdc\u3058\u3066\u3001\u4e8c\u9805\u516c\u5f0f\u3092\u7acb\u65b9\u4f53\u306b\u9069\u7528\u3059\u308b\u3060\u3051\u3067\u3059\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-536cf8075ed9dc1e16eb5da114b79756_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)^3 = a^3+3a^2b+3ab^2 +b^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"247\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5a9a96bd2d1f115178fbbcf19c8047c7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a-b)^3 = a^3-3a^2b+3ab^2-b^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"247\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-14695fb807e2df89352fdd1c1dced2ee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\begin{aligned}(x+4)^3&amp; =x^3+3\\cdot x^2\\cdot 4 +3\\cdot x\\cdot 4^2+4^3\\\\[2ex] &amp; =x^3+3\\cdot x^2\\cdot 4 +3\\cdot x\\cdot 16+64 \\\\[2ex] &amp; = \\bm{x^3+12x^2+48x+64}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"342\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5be0d584351feb0bef5572ca5c9e159a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\begin{aligned}\\left(x^2-5\\right)^3&amp; =\\left(x^2\\right)^3-3\\cdot \\left(x^2\\right)^2\\cdot 5 +3\\cdot x^2\\cdot 5^2-5^3\\\\[2ex] &amp; =x^6-3\\cdot x^4\\cdot 5 +3\\cdot x^2\\cdot 25-125 \\\\[2ex] &amp; = \\bm{x^6-15x^4+75x^2-125}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"110\" width=\"404\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f44f9c3283dad97321644c6e559f64ff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\begin{aligned}\\left(2x-1\\right)^3&amp; =\\left(2x\\right)^3-3\\cdot \\left(2x\\right)^2\\cdot 1 +3\\cdot 2x\\cdot 1^2-1^3\\\\[2ex] &amp; =8x^3-3\\cdot 4x^2\\cdot 1 +3\\cdot 2x\\cdot 1-1 \\\\[2ex] &amp; = \\bm{8x^3-12x^2+6x-1}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"401\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-156e7619e4d6ef129f04250af8197d2e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ \\begin{aligned}(5x+2)^3&amp; =(5x)^3+3\\cdot \\left(5x\\right)^2\\cdot 2 +3\\cdot 5x\\cdot 2^2+2^3\\\\[2ex] &amp; =125x^3+3\\cdot 25x^2\\cdot 2 +3\\cdot 5x\\cdot 4+8 \\\\[2ex] &amp; = \\bm{125x^3+150x^2+60x+8}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"402\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 2<\/h3>\n<p>\u5bfe\u5fdc\u3059\u308b\u5f0f\u3092\u9069\u7528\u3057\u3066\u30012 \u3064\u306e\u91cf\u306e 3 \u4e57\u306b\u5bfe\u3059\u308b\u6b21\u306e\u4e8c\u9805\u5f0f\u3092\u6c7a\u5b9a\u3057\u307e\u3059\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-fa956af1cab818af1f22653b384dfc21_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\left(4x^2-y^5\\right)^3\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"118\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3a6734ab696568f02b53cc593ce70939_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\left(6x^3+2y^4\\right)^3\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"127\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-02817aca9c2bc6ddaf621c52a024719d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\displaystyle \\left(\\frac{9}{2}x^2-\\frac{4}{3}x\\right)^3\" title=\"Rendered by QuickLaTeX.com\" height=\"47\" width=\"137\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u53c2\u7167<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u6f14\u7fd2\u306e\u6ce8\u76ee\u3059\u3079\u304d\u7a4d\u3092\u3059\u3079\u3066\u8a08\u7b97\u3059\u308b\u306b\u306f\u3001\u5408\u8a08\u3068 3 \u4e57\u3057\u305f\u6e1b\u7b97\u306e\u516c\u5f0f\u3092\u4f7f\u7528\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\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-536cf8075ed9dc1e16eb5da114b79756_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)^3 = a^3+3a^2b+3ab^2 +b^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"247\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5a9a96bd2d1f115178fbbcf19c8047c7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a-b)^3 = a^3-3a^2b+3ab^2-b^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"247\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-386169975ac336c1732a91ebd6d0830c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\begin{aligned}\\left(4x^2-y^5\\right)^3&amp; =\\left(4x^2\\right)^3-3\\cdot \\left(4x^2\\right)^2\\cdot y^5 +3\\cdot 4x^2\\cdot \\left(y^5\\right)^2-\\left(y^5\\right)^3\\\\[2ex] &amp; =64x^6-3\\cdot 16x^4\\cdot y^5 +3\\cdot 4x^2\\cdot y^{10}-y^{15} \\\\[2ex] &amp; = \\bm{64x^6-48x^4y^5+12x^2y^{10}-y^{15}}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"112\" width=\"505\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-27c153bf59237b782cc697203d5f235a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\begin{aligned}\\left(6x^3+2y^4\\right)^3&amp; =\\left(6x^3\\right)^3+3\\cdot \\left(6x^3\\right)^2\\cdot 2y^4 +3\\cdot 6x^3\\cdot \\left(2y^4\\right)^2+\\left(2y^4\\right)^3\\\\[2ex] &amp; =216x^9+3\\cdot 36x^6\\cdot 2y^4 +3\\cdot 6x^3\\cdot 4y^8+8y^{12} \\\\[2ex] &amp; = \\bm{216x^9+216x^6y^4 +72x^3y^8+8y^{12}}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"112\" width=\"540\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6700\u5f8c\u306e 3 \u4e57\u4e8c\u9805\u5f0f\u306e\u5358\u9805\u5f0f\u306b\u306f\u5206\u6570\u4fc2\u6570\u304c\u3042\u308b\u305f\u3081\u3001\u3053\u308c\u3092\u89e3\u304f\u306b\u306f\u5206\u6570\u306e\u30d7\u30ed\u30d1\u30c6\u30a3\u3092\u4f7f\u7528\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\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-54262e17cdee07e9f36eb92f3b8b5727_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\displaystyle \\begin{aligned}\\left(\\frac{9}{2}x^2-\\frac{4}{3}x\\right)^3 &amp; =\\left(\\frac{9}{2}x^2\\right)^3-3\\cdot \\left(\\frac{9}{2}x^2\\right)^2\\cdot \\frac{4}{3}x +3\\cdot \\frac{9}{2}x^2\\cdot \\left(\\frac{4}{3}x\\right)^2-\\left(\\frac{4}{3}x\\right)^3\\\\[3ex] &amp; =\\frac{9^3}{2^3}x^6-3\\cdot \\frac{9^2}{2^2}x^4\\cdot \\frac{4}{3}x +3\\cdot \\frac{9}{2}x^2\\cdot \\frac{4^2}{3^2}x^2-\\frac{4^3}{3^3}x^3 \\\\[3ex] &amp;= \\frac{729}{8}x^6-3\\cdot \\frac{81}{4}x^4\\cdot \\frac{4}{3}x +3\\cdot \\frac{9}{2}x^2\\cdot \\frac{16}{9}x^2-\\frac{64}{27}x^3 \\\\[3ex] &amp;= \\frac{729}{8}x^6-3\\cdot \\frac{324}{12}x^5 +3\\cdot \\frac{144}{18}x^4-\\frac{64}{27}x^3 \\\\[3ex] &amp;= \\frac{729}{8}x^6-3\\cdot 27x^5 +3\\cdot 8x^4-\\frac{64}{27}x^3 \\\\[3ex] &amp; = \\mathbf{\\frac{729}{8}}\\bm{x^6-81x^5 +24x^4-}\\mathbf{\\frac{64}{27}}\\bm{x^3}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"375\" width=\"589\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<div id=\"ezoic-pub-ad-placeholder-176\" data-inserter-version=\"-1\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u3053\u3053\u3067\u306f\u3001\u4e8c\u9805\u4e09\u4e57 (\u516c\u5f0f) \u306e\u6ce8\u76ee\u3059\u3079\u304d\u7a4d (a+b) 3\u307e\u305f\u306f (ab) 3\u306e\u5206\u89e3\u80fd\u306e\u8aac\u660e\u304c\u898b\u3064\u304b\u308a\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u4e8c\u9805\u304b\u3089\u7acb\u65b9\u4f53\u307e\u3067\u6bb5\u968e\u7684\u306b\u89e3\u6c7a\u3055\u308c\u308b\u4f8b\u3068\u6f14\u7fd2\u3092\u898b\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 3 \u4e57\u4e8c\u9805\u5f0f\u3068\u306f\u4f55\u3067\u3059\u304b? 3\u4e57\u4e8c &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ja\/%e4%ba%8c%e9%a0%85%e4%b8%89%e4%b9%97\/\"> <span class=\"screen-reader-text\">\u4e8c\u9805\u7acb\u65b9\u4f53<\/span> \u3082\u3063\u3068\u8aad\u3080 &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-331","post","type-post","status-publish","format-standard","hentry","category-10"],"yoast_head":"<!-- This site is optimized 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