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.
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
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.