(x-y)2n?(y-x)2n-1?(y-x)4n?(x-y)2n+1(n为正整数)

发布时间:2020-08-08 07:02:32

(x-y)2n?(y-x)2n-1?(y-x)4n?(x-y)2n+1(n为正整数)

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解:原式=-(x-y)2n?(x-y)2n-1?(x-y)4n?(x-y)2n+1
=-(x-y)2n+2n-1+4n+2n+1
=-(x-y)10n.
解析分析:根据同底数幂的乘法法则:同底数幂相乘,底数不变,指数相加,求解即可.

点评:本题考查了同底数幂的乘法,解答本题的关键是掌握同底数幂的乘法法则:底数不变,指数相加.
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