因式分解x^3-4xy^2-2x^2y+8y^3_数学解答

因式分解x^3-4xy^2-2x^2y+8y^3

人气：116 ℃　时间：2019-11-15 07:53:43

解答

=(x^3+8y^3)-2xy(x+2y)
=(x+2y)(x^2-2xy+4y^2)-2xy(x+2y)
=(x+2y)(x^2-4xy+4y^2)
=(x+2y)(x-2y)^2