Ответ:
\[\frac{(x-y)^2-y(x+y)}{(x+y)(x-y)}=\frac{x^2-2xy+y^2-xy-y^2}{x^2-y^2}.\]
\[\frac{x^2-3xy}{x^2-y^2}=\frac{x(x-3y)}{x^2-y^2}.\]
Ответ: \(\dfrac{x(x-3y)}{x^2-y^2}\), \(x\ne\pm y\).
\[\frac{(x-y)^2-y(x+y)}{(x+y)(x-y)}=\frac{x^2-2xy+y^2-xy-y^2}{x^2-y^2}.\]
\[\frac{x^2-3xy}{x^2-y^2}=\frac{x(x-3y)}{x^2-y^2}.\]
Ответ: \(\dfrac{x(x-3y)}{x^2-y^2}\), \(x\ne\pm y\).