a的3次方(x-y)-3a的2次方b(y-x)因式分解为____.

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a的3次方(x-y)-3a的2次方b(y-x)因式分解为____.
a的3次方(x-y)-3a的2次方b(y-x)因式分解为____.

a的3次方(x-y)-3a的2次方b(y-x)因式分解为____.
a^3(x-y)-3a^2b(y-x)
=a^3(x-y)+3a^2b(x-y)
=a^2(x-y)(a+3b)

3a^2(a+b)(x-y)

a^3(x-y)-3a^2(y-x)
=a^3(x-y)+3a^2(x-y)
=a^2(x-y)(a+3)