\[\frac{c^{2}}{c^{2} - 16} - \frac{c}{c + 4} =\]
\[= \frac{c^{2}}{(c - 4)(c + 4)} - \frac{c^{\backslash c - 4}}{c + 4} =\]
\[= \frac{c^{2} - c(c - 4)}{(c - 4)(c + 4)} =\]
\[= \frac{c² - c^{2} + 4c}{(c - 4)(c + 4)} = \frac{4c}{c^{12} - 16}\]