24.9(x-y)2+12(x2-y2)+4(x+y)2因式分解为 [ ]A.(5x-y)2 B.(5x+y)2 C.(3x-2y)(3x+2y) D.(5x-2y)2

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24.9(x-y)2+12(x2-y2)+4(x+y)2因式分解为 [ ]
A.(5x-y)2 B.(5x+y)2
C.(3x-2y)(3x+2y) D.(5x-2y)2

设x+y=A,x-y=B
原式=9B²+12AB+4A²
=(2A+3B)²
=(2x+2y+3x-3y)²
=(5x-y)²