Ответ:

[tex] \frac{5}{x - y} - \frac{3}{x + y} = \frac{5(x + y) - 3(x - y)}{(x - y)(x + y)} = \frac{5x + 5y - 3x + 3y}{x - y)(x + y)} = \frac{2(x + 4y)}{ {x}^{2} - {y}^{2} } [/tex]