Выполните действия: (x/y^2-1/x):(1/y-1/x).

\[\left( \frac{x^{\backslash x}}{y^{2}} - \frac{1^{\backslash y^{2}}}{x} \right)\ :\left( \frac{1^{\backslash x}}{y} - \frac{1^{\backslash y}}{x} \right) =\]

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

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

\[= \frac{x + y}{y}\]