作业帮2x(x-y)^4-x^2(x-y)^2+xy(y-x)^2因式分解 请看仔细
来源：学生作业帮助网 编辑：作业帮 时间：2024/04/29 08:15:06
2x(x-y)^4-x^2(x-y)^2+xy(y-x)^2因式分解 请看仔细
2x(x-y)^4-x^2(x-y)^2+xy(y-x)^2因式分解 请看仔细
2x(x-y)^4-x^2(x-y)^2+xy(y-x)^2因式分解 请看仔细
2x(x-y)^4-x^2(x-y)^2+xy(y-x)^2
=2x(x-y)^4-x^2(x-y)^2+xy(x-y)^2
=x(x-y)^2[2(x-y)^2-x+y]
=x(x-y)^2[2(x-y)^2-(x-y)]
=x(x-y)^2(x-y)(2x-2y-1)
=x(2x-2y-1)(x-y)^3