Answer
$$\frac{6x+11}{\left(x+4\right)\left(x-4\right)}$$
Work Step by Step
Creating like denominators in order to simplify, we find:
$$\frac{4x+3}{\left(x+4\right)\left(x-4\right)}+\frac{2}{x-4}\\ \frac{4x+3}{\left(x+4\right)\left(x-4\right)}+\frac{2\left(x+4\right)}{\left(x-4\right)\left(x+4\right)}\\ \frac{4x+3+2\left(x+4\right)}{\left(x+4\right)\left(x-4\right)}\\ \frac{6x+11}{\left(x+4\right)\left(x-4\right)}$$
