因式分解:X^3-4XY^2-2XY+8Y^3
问题描述:
因式分解:X^3-4XY^2-2XY+8Y^3
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