Answer
$$=\left(x+8\right)\left(x+2\right)\left(x-2\right)$$
Work Step by Step
Factoring the equation, we find:
$$\left(x^3+8x^2\right)+\left(-4x-32\right)\\ -4\left(x+8\right)+x^2\left(x+8\right)\\ \left(x+8\right)\left(x^2-4\right) \\ =\left(x+8\right)\left(x+2\right)\left(x-2\right)$$