\[\frac{3b^{2} + 2b}{b^{2} - 4} - \frac{b^{\backslash b + 2}}{b - 2} =\]
\[= \frac{3b^{2} + 2b}{b^{2} - 4} - \frac{b \cdot (b + 2)}{b - 2} =\]
\[= \frac{3b^{2} + 2b - b^{2} - 2b}{b^{2} - 4} = \frac{2b^{2}}{b^{2} - 4}\]