用提公因式法计算：x(x-y)²-y(y-x)²

用提公因式法计算：x(x-y)²-y(y-x)²
用提公因式法计算：x(x-y)²-y(y-x)²

用提公因式法计算：x(x-y)²-y(y-x)²
提公因式法计算：x(x-y)²-y(y-x)²
=x(x-y)²-y(x-y)²
=(x-y)^2(x-y)
=(x-y)^3

因为(x-y)²和(y-x)²是一样的
所以提取公因式(x-y)²
得（x-y）(x-y)²=（x-y）的三次方

=x(x-y)²-y(x-y)²
=(x-y)(x-y)²
=(x-y)3