\[\frac{m^{2}}{m^{2} - 16} - \frac{m^{\backslash m - 4}}{m + 4} =\]
\[= \frac{m^{2} - m^{2} + 4m}{(m - 4)(m + 4)} = \frac{4m}{m^{2} - 16}.\]