因式分解：x(y-3)-(2y-6) (x+y)^3-(x-y)^2(x+y) x(x^2-xy)-(4x^2-4xy)

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因式分解：x(y-3)-(2y-6) (x+y)^3-(x-y)^2(x+y) x(x^2-xy)-(4x^2-4xy)
因式分解：x(y-3)-(2y-6) (x+y)^3-(x-y)^2(x+y) x(x^2-xy)-(4x^2-4xy)

因式分解：x(y-3)-(2y-6) (x+y)^3-(x-y)^2(x+y) x(x^2-xy)-(4x^2-4xy)
x(y-3)-(2y-6)
=x(y-3)-2(y-3)
=(y-3)(x-2)

(x+y)^3-(x-y)^2(x+y)
=(x+y)[(x+y)²-(x-y)²]
=4xy(x+y)

x(x^2-xy)-(4x^2-4xy)
=x²(x-y)-4x(x-y)
=x(x-y)(x-4)

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