分解因式:(1)2xy-4x2y2-14;(2)ab(x-y)3-ab(x-y).-数学

题目简介

分解因式:(1)2xy-4x2y2-14;(2)ab(x-y)3-ab(x-y).-数学

题目详情

分解因式:
(1)2xy-4x2y2-
1
4

(2)ab(x-y)3-ab(x-y).
题型:解答题难度:中档来源:不详

答案

(1)原式=-(4x2y2-2xy+class="stub"1
4
)

=-(2xy-class="stub"1
2
)2


(2)原式=ab(x-y)[(x-y)2-1],
=ab(x-y)(x-y-1)(x-y+1).

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