Perform the Indicated Operation $\frac{2 a b}{a^{2}-b^{2}}-\frac{b}{a-b}+4$ A) $\frac{4 a+5 b}{a+b}$ B) $\frac{(a-b)(4 a+5 b)}{a^{2}-b^{2}}$

Multiple Choice

Perform the indicated operation. Simplify, if possible.
- $\frac{2 a b}{a^{2}-b^{2}}-\frac{b}{a-b}+4$

A) $\frac{4 a+5 b}{a+b}$
B) $\frac{(a-b) (4 a+5 b) }{a^{2}-b^{2}}$
C) $\frac{2 a b-b+4}{a+b+1}$
D) $\frac{4 a+5 b}{a^{2}-b^{2}}$