Выполните действия: (a+1)/2a(a-1)-(a-1)/2a(a+1).

\[\frac{a + 1}{2a(a - 1)} - \frac{a - 1}{2a(a + 1)} =\]

\[= \frac{(a + 1)^{2} - (a - 1)^{2}}{2a(a - 1)(a + 1)} =\]