Упростите выражение (x/y^2-1/x):(1/y+1/x).

Ответ:

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

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

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