(x+2y)(3x-7y)^2-4(x+2y)(x+y)^2分解因式?

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(x+2y)(3x-7y)^2-4(x+2y)(x+y)^2分解因式?
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(x+2y)(3x-7y)^2-4(x+2y)(x+y)^2分解因式?
(x+2y)(3x-7y)^2-4(x+2y)(x+y)^2分解因式?

(x+2y)(3x-7y)^2-4(x+2y)(x+y)^2分解因式?
x+2y是公因式
原式=(x+2y)[(3x-7y)^2-4(x+y)^2]
=(x+2y)[(3x-7y)^2-(2x+2y)^2]
=(x+2y)[(3x-7y)+(2x+2y)][(3x-7y)-(2x+2y)]
=(x+2y)(5x-5y)(x-9y)
=5(x+2y)(x-y)(x-9y)