Question

Simplify the rational expression.

Answer 1

Answer:

$\large\boxed{\dfrac{x^2-4x-32}{x+4}=x-8}$

Step-by-step explanation:

$\dfrac{x^2-4x-32}{x+4}=\dfrac{x^2+4x-8x-32}{x+4}=\dfrac{x(x+4)-8(x+4)}{x+4}\\\\=\dfrac{(x+4)(x-8)}{x+4}\\\\\text{canceled}\ (x+4)\\\\=x-8$