Упростите выражение: ((x-y)/x-(y-x)/y):(x+y)/xy.

\[\left( \frac{x - y^{\backslash y}}{x} - \frac{y - x^{\backslash x}}{y} \right)\ :\frac{x + y}{\text{xy}} =\]

\[= \frac{xy - y^{2} - xy + x^{2}}{\text{xy}} \cdot \frac{\text{xy}}{x + y} =\]

\[= \frac{\left( x^{2} - y^{2} \right) \cdot xy}{\text{xy}(x + y)} =\]

\[= \frac{(x - y)(x + y)}{x + y} = x - y.\]