\[\frac{m^{2}}{m^{2} - 9} - \frac{m}{m + 3} =\]
\[= \frac{m^{2}}{(m - 3)(m + 3)} - \frac{m^{\backslash m - 3}}{m + 3} =\]
\[= \frac{m^{2} - m(m - 3)}{(m - 3)(m + 3)} = \frac{m² - m^{2} + 3m}{(m - 3)(m + 3)} =\]
\[= \frac{3m}{m^{2} - 9}\]