Упростите выражение: 4/(x^2-4)-1/(x-2)-1/(x+2).

Ответ:

\[\frac{4}{x^{2} - 4} - \frac{1^{\backslash x + 2}}{x - 2} - \frac{1^{\backslash x - 2}}{x + 2} =\]

\[= \frac{4 - x - 2 - x + 2}{(x - 2)(x + 2)} =\]

\[= \frac{4 - 2x}{(x - 2)(x + 2)} =\]

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