{"id":340,"date":"2023-07-06T03:44:20","date_gmt":"2023-07-06T03:44:20","guid":{"rendered":"https:\/\/mathority.org\/ja\/%e5%9b%9b%e5%88%86%e3%81%ae%e4%b8%80%e4%ba%8c%e9%a0%85\/"},"modified":"2023-07-06T03:44:20","modified_gmt":"2023-07-06T03:44:20","slug":"%e5%9b%9b%e5%88%86%e3%81%ae%e4%b8%80%e4%ba%8c%e9%a0%85","status":"publish","type":"post","link":"https:\/\/mathority.org\/ja\/%e5%9b%9b%e5%88%86%e3%81%ae%e4%b8%80%e4%ba%8c%e9%a0%85\/","title":{"rendered":"4\u4f4d\u306e\u30da\u30a2"},"content":{"rendered":"<p>\u3053\u306e\u30da\u30fc\u30b8\u3067\u306f\u3001\u4e8c\u9805\u5f0f\u304b\u3089 4 \u756a\u76ee\u307e\u3067\u306e\u516c\u5f0f\u3092\u793a\u3057\u3001\u3053\u306e\u30bf\u30a4\u30d7\u306e\u4e8c\u9805\u6f14\u7b97\u306e\u89e3\u304d\u65b9\u3092\u4f8b\u3092\u6319\u3052\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u4ef2\u9593\u304b\u30894\u5e74\u751f\u307e\u3067\u6bb5\u968e\u7684\u306b\u89e3\u3044\u305f\u7df4\u7fd2\u554f\u984c\u3067\u7df4\u7fd2\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Formula-del-binomio-a-la-cuarta\"><\/span>\u56db\u534a\u671f\u4e8c\u9805\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6570\u5b66\u3067\u306f\u3001 <strong>2 \u9805\u306e 4 \u4e57\u306f\u3001<\/strong> 4 \u4e57\u3057\u305f 2 \u3064\u306e\u9805\u3067\u69cb\u6210\u3055\u308c\u308b\u591a\u9805\u5f0f\u3067\u3059\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u56db\u534a\u671f\u4e8c\u9805\u306e\u8a08\u7b97\u306b\u4f7f\u7528\u3055\u308c\u308b\u5f0f\u306f\u6b21\u306e\u3068\u304a\u308a\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-72f362dcdac7a948e05876758e78e7c1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)^4 = a^4+4a^3b+6a^2b^2+4ab^3+b^4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"310\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u3053\u306e\u5f0f\u306f\u3001 <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\/\"><strong><span style=\"text-decoration: underline;\">\u30cb\u30e5\u30fc\u30c8\u30f3\u306e\u4e00\u822c\u4e8c\u9805\u5f0f<\/span><\/strong><\/a>\u304b\u3089\u5c0e\u304d\u51fa\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u5b9f\u969b\u3001\u30cb\u30e5\u30fc\u30c8\u30f3\u306e\u4e8c\u9805\u5f0f\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u4efb\u610f\u306e\u7d2f\u4e57\u306e\u4e8c\u9805\u5f0f\u3092\u8a08\u7b97\u3067\u304d\u308b\u305f\u3081\u3001\u30cb\u30e5\u30fc\u30c8\u30f3\u306e\u4e8c\u9805\u5f0f\u3092\u5b66\u7fd2\u3059\u308b\u306e\u304c\u6700\u5584\u3067\u3059\u3002\u524d\u306e\u30ea\u30f3\u30af\u3092\u30af\u30ea\u30c3\u30af\u3057\u3066\u3001\u3053\u306e\u5f0f\u304c\u3069\u306e\u3088\u3046\u306a\u3082\u306e\u304b\u3092\u78ba\u8a8d\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u7b2c 4 \u9805\u306e\u4e8c\u9805\u5f0f\u306f\u3001\u7b2c 1 \u9805\u306e 4 \u4e57\u306b\u3001\u7b2c 1 \u9805\u306e 3 \u4e57\u306e 4 \u500d\u3068\u7b2c 2 \u9805\u306e\u7a4d\u3001\u7b2c 1 \u9805\u3068\u7b2c 2 \u9805\u306e 2 \u4e57\u306e 6 \u306e\u7a4d\u3001\u304a\u3088\u3073\u7b2c 2 \u9805\u306e 4 \u500d\u306e\u7a4d\u3068\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002\u6700\u521d\u306e\u9805\u306b 3 \u306b\u7d2f\u4e57\u3057\u305f\u7b2c 2 \u9805\u3092\u4e57\u7b97\u3057\u3001\u3055\u3089\u306b 4 \u306b\u7d2f\u4e57\u3057\u305f\u7b2c 2 \u9805\u3092\u52a0\u3048\u307e\u3059\u3002<\/p>\n<p>\u3053\u306e\u5f0f\u306f\u4e8c\u9805\u548c (\u305d\u306e 2 \u3064\u306e\u8981\u7d20\u304c\u6b63) \u306b\u5bfe\u5fdc\u3057\u307e\u3059\u304c\u3001\u4e8c<strong>\u9805\u6e1b\u7b97\u306e 4 \u4e57\u306e\u5f0f<\/strong>\u3067\u306f\u30012 \u756a\u76ee\u3068 4 \u756a\u76ee\u306e\u7a4d\u306e\u7b26\u53f7\u304c\u8ca0\u306b\u306a\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-ab80a7a5a90fe6612c4474b5d7a8ae6f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a \\color{red}\\bm{-}\\color{black}b)^4 = a^4\\color{red}\\bm{-}\\color{black}4a^3b+6a^2b^2\\color{red}\\bm{-}\\color{black}4ab^3+b^4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"484\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplos-de-binomios-a-la-cuarta\"><\/span> 4\u5e74\u751f\u306e\u4ef2\u9593\u306e\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u3053\u306e\u30bf\u30a4\u30d7\u306e\u4e8c\u9805\u5f0f\u306e\u516c\u5f0f\u3092\u8003\u616e\u3057\u3066\u3001\u4e8c\u9805\u5f0f\u3092 4 \u756a\u76ee\u307e\u3067\u89e3\u304f\u4f8b\u3092\u3044\u304f\u3064\u304b\u898b\u3066\u3044\u304d\u307e\u3059\u3002\u307e\u305a\u6b63\u306e\u4e8c\u9805\u5f0f\u3092\u8a08\u7b97\u3057\u3001\u6b21\u306b\u8ca0\u306e\u4e8c\u9805\u5f0f\u3092\u89e3\u304d\u307e\u3059\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u4f8b1<\/h3>\n<ul>\n<li>\u6b21\u306e\u4e8c\u9805\u5f0f\u306e 4 \u4e57\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-03f5e137fa0eccec573bc15307d33cd8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x+2)^4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"61\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u4e8c\u9805\u548c\u306e 4 \u4e57\u306e\u516c\u5f0f\u306f\u6b21\u306e\u3068\u304a\u308a\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-72f362dcdac7a948e05876758e78e7c1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)^4 = a^4+4a^3b+6a^2b^2+4ab^3+b^4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"310\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u6f14\u7fd2\u306e\u4e8c\u9805\u5f0f\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u3001\u4e8c\u9805\u5f0f\u306e 2 \u3064\u306e\u91cf\u3092\u5f0f\u306b\u4ee3\u5165\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-1517da3b83cb1367db7ebf73c8600ce5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x+2)^4 = x^4+4\\cdot x^3\\cdot 2+6\\cdot x^2\\cdot 2^2+4\\cdot x\\cdot 2^3+2^4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"396\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u305d\u3057\u3066\u6700\u5f8c\u306b\u6f14\u7b97\u3092\u89e3\u6c7a\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-4e84ddbeb643abf6cdce05666af6d41c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}(x+2)^4 &amp; = x^4+4\\cdot x^3\\cdot 2+6\\cdot x^2\\cdot 4+4\\cdot x\\cdot 8+16 \\\\[2ex] &amp; =x^4+8 x^3+24x^2+32x+16\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"62\" width=\"383\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\">\u4f8b 2<\/h3>\n<ul>\n<li>\u6b21\u306e\u4e8c\u9805\u5f0f\u306e 4 \u4e57\u3092\u6c42\u3081\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-210f9597e603db7f4e3c41d2d5a1cd9d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x-3)^4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"61\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u5dee\u4e8c\u9805\u3092 4 \u4e57\u3057\u305f\u5834\u5408\u306e\u5897\u5f37\u516c\u5f0f\u306f\u6b21\u306e\u3068\u304a\u308a\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-d5774034dc5f470b13498faa68571db6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a-b)^4 = a^4-4a^3b+6a^2b^2-4ab^3+b^4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"310\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u554f\u984c\u306e\u4e8c\u9805\u5f0f\u3092\u6c7a\u5b9a\u3059\u308b\u306b\u306f\u3001\u5f0f\u5185\u306e\u5909\u6570\u3092\u4e8c\u9805\u5f0f\u306e\u5024\u306b\u7f6e\u304d\u63db\u3048\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-116893deddf1913174508c08c874b685_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x-3)^4 = x^4-4\\cdot x^3\\cdot 3+6\\cdot x^2\\cdot 3^2-4\\cdot x\\cdot 3^3+3^4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"396\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u305d\u3057\u3066\u6700\u5f8c\u306b\u3001\u7d50\u679c\u3068\u3057\u3066\u5f97\u3089\u308c\u308b\u6f14\u7b97\u3092\u89e3\u6c7a\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-aa9fd790c949488c4124c2370fff7ea4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}(x-3)^4 &amp; = x^4-4\\cdot x^3\\cdot 3+6\\cdot x^2\\cdot 9-4\\cdot x\\cdot 27+81 \\\\[2ex] &amp; =x^4-12x^3+54x^2-108x+81\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"62\" width=\"391\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Demostracion-de-la-formula-de-un-binomio-a-la-cuarta\"><\/span> 4\u756a\u76ee\u306e\u4e8c\u9805\u5f0f\u306e\u30c7\u30e2\u30f3\u30b9\u30c8\u30ec\u30fc\u30b7\u30e7\u30f3<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>4 \u4e57\u3057\u305f\u4e8c\u9805\u5f0f\u306e\u6982\u5ff5\u3092\u8abf\u3079\u308b\u305f\u3081\u306b\u3001\u3044\u304f\u3064\u304b\u306e\u65b9\u6cd5\u3067\u305d\u306e\u5f0f\u3092\u793a\u3057\u307e\u3059\u3002<\/p>\n<p> 4 \u306b\u30ec\u30a4\u30ba\u3055\u308c\u305f\u4efb\u610f\u306e\u30da\u30a2\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-221292a85028b8f8aeec1e8878d7e4d3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)^4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"59\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u4e8c\u9805\u5f0f\u306e 4 \u756a\u76ee\u306e\u4ee3\u6570\u8868\u73fe\u306f\u3001\u7d20\u56e0\u6570\u306b\u5c55\u958b\u3059\u308b\u3053\u3068\u3067\u56e0\u6570\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-cb4cda88fca732a0609abddf72c7d2ef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)^4=(a+b)\\cdot (a+b)\\cdot (a+b)\\cdot (a+b)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"330\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001 <a href=\"https:\/\/mathority.org\/ja\/\u591a\u9805\u5f0f\u306e\u4e57\u7b97\u306e\u4f8b-\u6f14\u7fd2\u3092\u89e3\u304f-\u7a4d\u306e\u4e57\u7b97\/\"><strong><span style=\"text-decoration: underline;\">\u591a\u9805\u5f0f\u306e\u5404\u7a4d<\/span><\/strong><\/a>\u3092\u89e3\u304f\u3053\u3068\u306b\u3088\u308a\u3001\u6b21\u306e 4 \u4e57\u3057\u305f\u4e8c\u9805\u5f0f\u306e\u516c\u5f0f\u306b\u5230\u9054\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-1f1fccc8f73eedbccfa9ef436549c932_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} (a+b)^4 &amp; =(a+b)\\cdot (a+b)\\cdot (a+b)\\cdot (a+b) \\\\[2ex] &amp;= (a^2+2ab+b^2)\\cdot (a+b)\\cdot (a+b) \\\\[2ex] &amp; = (a^3+3a^2b+3ab^2+b^3) \\cdot (a+b) \\\\[2ex] &amp; = a^4+4a^3b+6a^2b^2+4ab^3+b^4 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"150\" width=\"330\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u4e00\u65b9\u30014 \u756a\u76ee\u306e\u4e8c\u9805\u5f0f\u306e\u516c\u5f0f\u306f\u3001 <a href=\"https:\/\/mathority.org\/ja\/\u4e8c\u9805\u4e09\u4e57\/\"><strong><span style=\"text-decoration: underline;\">\u7acb\u65b9\u4f53\u306b\u5bfe\u3059\u308b\u4e8c\u9805\u5f0f<\/span><\/strong><\/a>\u306e\u516c\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u691c\u8a3c\u3059\u308b\u3053\u3068\u3082\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-b87645d508e38be4981e6cd954490f72_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} (a+b)^4 &amp; =(a+b)^3 \\cdot (a+b)\\\\[2ex] &amp; = (a^3+3a^2b+3ab^2+b^3) \\cdot (a+b) \\\\[2ex] &amp; = a^4+4a^3b+6a^2b^2+4ab^3+b^4 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"106\" width=\"326\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u540c\u69d8\u306b\u3001\u8457\u540d\u306a\u88fd\u54c1 (\u307e\u305f\u306f\u8457\u540d\u306a\u30a2\u30a4\u30c7\u30f3\u30c6\u30a3\u30c6\u30a3) \u3092\u901a\u3058\u3066\u8a3c\u62e0\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001 <strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ja\/\u548c\u306e\u4e8c\u4e57\u307e\u305f\u306f\u4e8c\u4e57\u548c\/\">\u548c\u306e\u4e8c\u4e57\u306e\u6ce8\u76ee\u3059\u3079\u304d\u7a4d\u306e<\/a><\/span><\/strong>\u516c\u5f0f\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\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-f6a8ef4bfb728886326da5d4fd39974a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} (a+b)^4 &amp; =(a+b)^2\\cdot (a+b)^2 \\\\[2ex] &amp;= (a^2+2ab+b^2)\\cdot (a^2+2ab+b^2) \\\\[2ex]  &amp; = a^4+4a^3b+6a^2b^2+4ab^3+b^4 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"106\" width=\"325\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u305d\u308c\u305e\u308c\u3001 <a href=\"https:\/\/mathority.org\/ja\/\u5dee\u306e\u4e8c\u4e57\u307e\u305f\u306f\u6e1b\u7b97\/\"><strong><span style=\"text-decoration: underline;\">\u6e1b\u7b97\u306e\u4e8c\u4e57<\/span><\/strong><\/a>\u306e\u6ce8\u76ee\u3059\u3079\u304d\u6052\u7b49\u5f0f\u306f\u3001\u4e8c\u9805\u6e1b\u7b97\u306e\u5f0f\u3092\u88cf\u4ed8\u3051\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\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-14234e8714d33a06a9c2b029fec252d6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} (a-b)^4 &amp; =(a-b)^2\\cdot (a-b)^2 \\\\[2ex] &amp;= (a^2-2ab+b^2)\\cdot (a^2-2ab+b^2) \\\\[2ex]  &amp; = a^4-4a^3b+6a^2b^2-4ab^3+b^4 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"106\" width=\"325\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejercicios-resueltos-de-binomios-a-la-cuarta\"><\/span> 4\u5e74\u751f\u306e\u30da\u30a2\u306e\u7df4\u7fd2\u554f\u984c\u3092\u89e3\u3044\u305f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6b21\u306e\u4e8c\u9805\u5f0f\u306e 4 \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-78de0250a24376eafa33b75828530e55_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ (x+1)^4\" 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-c55ffad970f894d6ceb6951057bfe5aa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ (2x+3)^4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"96\" 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-fdd88fec0f06da304ff2999b733fc313_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ (x-4)^4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"87\" 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-33170b079c2a7a10373f56099500b550_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ (x^2+y)^4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"96\" 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-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-063eb752a20c15adfc0eec5a42b9d67e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\begin{aligned} (x+1)^4 &amp; = x^4 +4\\cdot x^3\\cdot 1+6 \\cdot x^2\\cdot 1^2+4 \\cdot x\\cdot 1^3 + 1^4 \\\\[2ex]  &amp; = x^4 +4\\cdot x^3\\cdot 1+6 \\cdot x^2\\cdot 1+4 \\cdot x\\cdot 1 + 1 \\\\[2ex]  &amp; = \\bm{x^4 +4x^3+6 x^2+4 x + 1}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"429\" 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-707c85ccb35055d4fece1d058b46217a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\begin{aligned} (2x+3)^4 &amp; = (2x)^4 +4\\cdot (2x)^3\\cdot 3+6 \\cdot (2x)^2\\cdot 3^2+4 \\cdot 2x\\cdot 3^3 + 3^4 \\\\[2ex]  &amp; = 16x^4 +4\\cdot 8x^3\\cdot 3+6 \\cdot 4x^2\\cdot 9+4 \\cdot 2x\\cdot 27 + 81\\\\[2ex]  &amp; = \\bm{16x^4 +96x^3+216x^2+216x + 81}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"514\" 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-ce610d6757b7ce6fb5dfaa3b0679f368_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\begin{aligned} (x-4)^4 &amp; = x^4 -4\\cdot x^3\\cdot 4+6 \\cdot x^2\\cdot 4^2-4 \\cdot x\\cdot 4^3 + 4^4 \\\\[2ex]  &amp; = x^4 -4\\cdot x^3\\cdot 4+6 \\cdot x^2\\cdot 16-4 \\cdot x\\cdot 64 + 256 \\\\[2ex] &amp; = \\bm{x^4 -16 x^3+96x^2-256x + 256}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"442\" 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-4f5ca1d6b47e6ed78f64deff8122ed3c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ \\begin{aligned} (x^2+y)^4 &amp; = \\left(x^2\\right)^4 +4\\cdot \\left(x^2\\right)^3\\cdot y+6 \\cdot \\left(x^2\\right)^2\\cdot y^2+4 \\cdot x^2\\cdot y^3 + y^4 \\\\[2ex] &amp; =x^8 +4\\cdot x^6\\cdot y+6 \\cdot x^4\\cdot y^2+4 \\cdot x^2\\cdot y^3 + y^4 \\\\[2ex]  &amp; = \\bm{x^8 +4x^6y+6 x^4 y^2+4x^2y^3 + y^4}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"112\" width=\"519\" 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\u306e\u30da\u30fc\u30b8\u3067\u306f\u3001\u4e8c\u9805\u5f0f\u304b\u3089 4 \u756a\u76ee\u307e\u3067\u306e\u516c\u5f0f\u3092\u793a\u3057\u3001\u3053\u306e\u30bf\u30a4\u30d7\u306e\u4e8c\u9805\u6f14\u7b97\u306e\u89e3\u304d\u65b9\u3092\u4f8b\u3092\u6319\u3052\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u4ef2\u9593\u304b\u30894\u5e74\u751f\u307e\u3067\u6bb5\u968e\u7684\u306b\u89e3\u3044\u305f\u7df4\u7fd2\u554f\u984c\u3067\u7df4\u7fd2\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 \u56db\u534a\u671f\u4e8c\u9805\u5f0f \u6570\u5b66\u3067\u306f\u3001 2 \u9805\u306e 4 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ja\/%e5%9b%9b%e5%88%86%e3%81%ae%e4%b8%80%e4%ba%8c%e9%a0%85\/\"> <span class=\"screen-reader-text\">4\u4f4d\u306e\u30da\u30a2<\/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":[2],"tags":[],"class_list":["post-340","post","type-post","status-publish","format-standard","hentry","category-2"],"yoast_head":"<!-- This site is optimized 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