\[\frac{5}{c + 3} - \frac{5c - 2}{c^{2} + 3c} = \frac{5^{\backslash c}}{c + 3} - \frac{5c - 2}{c(c + 3)} =\]
\[= \frac{5c - 5c + 2}{c(c + 3)} = \frac{2}{c(c + 3)}\]