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Здравствуй.

$( \frac{x}{x - y} - \frac{x}{y + x} ) \div \frac{x {}^{2} }{x + y} = \frac{2y}{x {}^{2} - xy} \\ \\ 1) \frac{x}{x - y} - \frac{x}{x + y} = \frac{x(x + y) - x(x - y)}{(x - y)(x + y)} = \frac{x {}^{2} + xy - x {}^{2} + xy }{(x - y)(x + y)} = \frac{2xy}{(x - y)(x + y)} \\ \\ 2) \frac{2xy}{(x - y)(x + y)} \div \frac{x {}^{2} }{x + y} = \frac{2xy \times (x + y)}{(x - y)(x + y) \times x {}^{2} } = \frac{2y}{x(x - y)} = \frac{2y}{x {}^{2} - xy }$

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