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

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

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

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