(x+2y)(3x^2-4y^2)-(x+2y)^2(x-2y)因式分解_数学解答

(x+2y)(3x^2-4y^2)-(x+2y)^2(x-2y)因式分解

人气：467 ℃　时间：2019-12-26 09:51:58

解答

(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)