作业帮分解因式：2x(x-y)²(x-y)²-x²(x-y)²+xy(y-x)²
来源：学生作业帮助网 编辑：作业帮 时间：2024/04/28 01:25:56
分解因式：2x(x-y)²(x-y)²-x²(x-y)²+xy(y-x)²
分解因式：2x(x-y)²(x-y)²-x²(x-y)²+xy(y-x)²
分解因式：2x(x-y)²(x-y)²-x²(x-y)²+xy(y-x)²
问题是不是提错了?
2x(x-y)²(x-y)²-x²(x-y)²+xy(y-x)²
=2x(x-y)²(x-y)²-x²(x-y)²+xy(x-y)²
=(x-y)²[2x(x-y)²-x²+xy]
=(x-y)²[2x(x-y)²-x(x-y)]
=x(x-y)²(x-y)(2x-2y-1)