分解因式a²(x-y)²-b²(y-x)²

来源:学生学帮网 编辑:学帮网 时间:2024/06/04 17:46:53

分解因式a²(x-y)²-b²(y-x)²

原式=a²(x-y)²-b²(x-y)²
=(x-y)²(a²-b²)
=(x-y)²(a+b)(a-b)

a²(x-y)²-b²(y-x)²
=a²(x-y)²-b²(x-y)²
=(x-y)²(a²-b²)
=(x-y)²(a+b)(a-b)