Выполните вычитание: x^2/(x^2-49)-x/(x+7).

\[\frac{x^{2}}{x^{2} - 49} - \frac{x}{x + 7} =\]

\[= \frac{x^{2}}{(x - 7)(x + 7)} - \frac{x}{x + 7} =\]

\[= \frac{x^{2} - x(x - 7)}{(x - 7)(x + 7)} =\]

\[= \frac{x^{2} - x^{2} + 7x}{x^{2} - 49} = \frac{7x}{x^{2} + 49}.\]