题目内容
【题目】化简:
(1)( )4×(
)3×(
)2;
(2)an-1·an·a;
(3)(-x2)·(x3)·(-x)2;
(4)x2·x5+x·x2·x4;
(5)(x-y)2·(y-x)3+2(x-y)·(x-y)4.
【答案】(1)( )9(2)a2n(3)-x7(4)2x7(5)(x-y)5.
【解析】试题分析:
(1)用同底数幂的乘法法则,底数是;
(2)用同底数幂的乘法法则,底数是a,指数分别是n-1,n,1;
(3)用同底数幂的乘法法则计算,注意符号的变化;
(4)先用同底数幂的乘法法则,再合并同类项;
(5)先用同底数幂的乘法法则,再合并同类项,注意x-y=-(x-y),将x-y看成是一个整体.
试题解析:
(1)原式==
=
.
(2)原式=an-1+n+1=a2n.
(3)原式=-x7.
(4)原式=x7+x7=2x7.
(5)原式=-(x-y)2·(x-y)3+2(x-y)·(x-y)4
=-(x-y)5+2(x-y)5
=(x-y)5.
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