a) $$\frac{2b}{2b+3} - \frac{5}{3-2b} - \frac{4b^2 + 9}{4b^2 - 9} = \frac{2b}{2b+3} + \frac{5}{2b-3} - \frac{4b^2 + 9}{(2b-3)(2b+3)} = \frac{2b(2b-3) + 5(2b+3) - (4b^2 + 9)}{(2b-3)(2b+3)} = \frac{4b^2 - 6b + 10b + 15 - 4b^2 - 9}{(2b-3)(2b+3)} = \frac{4b + 6}{(2b-3)(2b+3)} = \frac{2(2b+3)}{(2b-3)(2b+3)} = \frac{2}{2b-3}$$
Ответ: $$\frac{2}{2b-3}$$