问题 选择题

若A=x2-2xy+y2,B=x2+2xy+y2,则A-B=(  )

A.2x2+2y2

B.2x2-2y2

C.4xy

D.-4xy

答案

∵A=x2-2xy+y2,B=x2+2xy+y2

∴A-B=(x2-2xy+y2)-(x2+2xy+y2

=x2-2xy+y2-x2-2xy-y2

=-4xy,

故选D.

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