Answer
$$\frac{x-4}{x+3}$$
Work Step by Step
Performing the given operation and then factoring and combining like terms to simplify, we find:
$$\frac{\left(x+1\right)\left(x-4\right)\left(x-6\right)}{\left(x+3\right)\left(x-6\right)\left(x+1\right)}\\ \frac{x-4}{x+3}$$