\[\frac{1^{\backslash 5c + d}}{5c - d} - \frac{1^{\backslash 5c - d}}{5c + d} =\]
\[= \frac{5c + d - 5c + d}{(5c + d)(5c - d)} = \frac{2d}{25c^{2} - d^{2}}.\]