Answer
$$\frac{-2x+21}{\left(x+5\right)^2}$$
Work Step by Step
Creating like denominators in order to simplify, we find:
$$\frac{4}{x+5}-\frac{6x-1}{\left(x+5\right)^2}\\ \frac{4\left(x+5\right)}{\left(x+5\right)^2}-\frac{6x-1}{\left(x+5\right)^2}\\ \frac{4\left(x+5\right)-\left(6x-1\right)}{\left(x+5\right)^2} \\ \frac{-2x+21}{\left(x+5\right)^2}$$