问题 填空题

因式分解x2y(x-y)2-2xy(y-x)3的结果为______.

答案

x2y(x-y)2-2xy(y-x)3

=x2y(x-y)2+2xy(x-y)3

=xy(x-y)2[x+2(x-y)],

=xy(x-y)2(3x-2y).

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