题目内容

把x2-1+2xy+y2的分解因式的结果是(  )
A.(x+1)(x-1)+y(2x+y)B.(x+y+1)(x-y-1)
C.(x-y+1)(x-y-1)D.(x+y+1)(x+y-1)
x2-1+2xy+y2
=(x2+2xy+y2)-1,
=(x+y)2-1,
=(x+y+1)(x+y-1).
故选D.
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