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)-数学

题目简介

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)-数学

题目详情

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)
题型:单选题难度:中档来源:不详

答案

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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