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

因式分解(x+2y)(3x^2-4y^2)-(x+2y)^2(x-2y)

人气：481 ℃　时间：2019-11-15 21:12:42

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)
=2(x+2y)x^2