x^2(x-y)^2-4(y-x)^2帮帮忙啊~分解因式

来源：学生作业帮助网编辑：作业帮时间：2024/06/04 14:01:36

x^2(x-y)^2-4(y-x)^2帮帮忙啊~
分解因式

x^2(x-y)^2-4(y-x)^2
=x^2(x-y)^2-4(x-y)^2
=(x-y)²(x²-4)
=(x-y)²(x+2)(x-2)

=x²(x-y)²-4(x-y)²
=(x-y)²(x²-4)
=(x-y)²(x+2)(x-2)