（a+b）四次方×（a-b）四次方等于多少？ （a+b）四次方和（a-b）四次方的公式
(a+b)\u7684\u56db\u6b21\u65b9-(a-b)\u7684\u56db\u6b21\u65b9\u600e\u4e48\u7b97\uff1f\u6c42\u8be6\u89e3\u3002\u8c22\u8c22\u5927\u5bb6\uff08a+b\uff09⁴-\uff08a-b\uff09⁴
=\u3010\uff08a+b\uff09²+\uff08a-b\uff09²\u3011\u3010\uff08a+b\uff09²-\uff08a-b\uff09²\u3011
=\uff082a²+2b²\uff09\uff084ab\uff09
= 8ab\uff08a²+b²\uff09
\uff08a+b)^n=a^n+C1n*a^(n-1)*b...+Crn*a^(n-r)*b^r...+b^n (\u8bd5\u4e2dCxy\u4e2d\u7684x\u5728C\u7684\u53f3\u4e0a\u89d2\uff0cy\u5728C\u7684\u53f3\u4e0b\u89d2\u3002
\u8fd9\u5b9e\u9645\u4e0a\u662f\u725b\u987f\u7684\u4e8c\u9879\u5f0f\u516c\u5f0f\uff0c\u5bf9\u4efb\u4f55\u6b63\u6307\u6570\u90fd\u6210\u7acb\uff0c\u5206\u6570\u4e5f\u4e00\u6837
\u4f60\u8981\u6c42\u7684\u53ea\u662f\u5c55\u5f00\u540e\u5c31i\u578b\u90a3\u4e2a\u4e86 \u7684
Cxy\u662f\u6392\u5217\u7ec4\u5408\u91cc\u9762\u7684\u7ec4\u5408\uff0c\u5c31\u662f\u5728y\u4e2a\u5143\u7d20\u4e2d\u9009\u53d6x\u4e2a\u5143\u7d20\u80fd\u6709\u7684\u6240\u6709\u7ec4\u5408\u7684\u4e2a\u6570\u3002
\u5e0c\u671b\u5bf9\u4f60\u6709\u6240\u5e2e\u52a9
看图
等于(a²-b²)四次方。
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