Question

Simplify the rational expression.

LaTeX: \frac{x^2-4x-32}{x+4} x 2 − 4 x − 32 x + 4

LaTeX: x+8 x + 8
LaTeX: x-8 x − 8
LaTeX: -x+8 − x + 8
LaTeX: -x-8

Answer 1

`\large\boxed{(x^2-4x-32)/(x+4)=x-8}`

Explanation:

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