问题 选择题

把9(x-y)2+12(x2-y2)+4(x+y)2因式分解是(  )

A.(3x-2y)(3x+2y)

B.(5x+y)2

C.(5x-y)2

D.(5x-2y)2

答案

9(x-y)2+12(x2-y2)+4(x+y)2

=[3(x-y)]2+12(x+y)(x-y)+[2(x+y)]2

=[3(x+y)+2(x-y)]2

=(5x-y)2

故选C.

单项选择题
选择题