Respuesta:
[tex]-\frac{xy}{x-y}[/tex]
Explicación paso a paso:
[tex]\frac{xy^2-x^2y}{\left(x-y\right)^2}\\\\=\frac{xy\left(y-x\right)}{\left(x-y\right)^2}\\\\=\frac{-xy\left(x-y\right)}{\left(x-y\right)^2}\\\\\left(x-y\right)^2=\left(x-y\right)\left(x-y\right)\\\\==\frac{-xy\left(x-y\right)}{\left(x-y\right)\left(x-y\right)}\\\\=\frac{-xy}{x-y}\\\\=-\frac{xy}{x-y}[/tex]
