问题 选择题

把多项式2xy-x2-y2+1分解因式是(  )

A.(x-y+1)(y-x+1)

B.(x-y-1)(y-x+1)

C.(x-y-1)(x-y+1)

D.(x-y+1)(x-y+1)

答案

2xy-x2-y2+1=-(x-y)2+1=(x-y+1)(y-x+1).

故选A.

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