(x+2y)(3x^2-4y^2)-(x+2y)^2(x-2y)因式分解

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

(x+2y)(3x^2-4y^2)-(x+2y)^2(x-2y)因式分解
(x+2y)(3x^2-4y^2)-(x+2y)^2(x-2y)
=(x+2y)[(3x^2-4y^2)-(x+2y)(x-2y)]
=(x+2y)[(3x^2-4y^2)-(x^2-4y^2)]
=(x+2y)(3x^2-4y^2-x^2+4y^2)
=(x+2y)(2x^2)
=2x^2(x+2y)

x^2-4y^2-x-2y 因式分解要步骤原式=(x 2y)(x-2y)-(x 2y) =(x 2y)(x-2y-1)