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把x3+x2y-xy2-y3分解因式,标准答案是()A.(x+y)(x2-y2)B.x2(x+y)-y2(x+y)C.(x+y)(x-y)2D.(x+y)2(x-y)

题目详情

把x3+x2y-xy2-y3分解因式,标准答案是(  )

A. (x+y)(x2-y2

B. x2(x+y)-y2(x+y)

C. (x+y)(x-y)2

D. (x+y)2(x-y)

▼优质解答
答案和解析
x3+x2y-xy2-y3
=x2(x+y)-y2(x+y)
=(x+y)(x2-y2
=(x+y)2(x-y).
故选:D.