# How do you simplify (-w-6)/(w^2+4w-12)?

Jun 27, 2016

$\frac{- 1}{w - 2}$

#### Explanation:

Step 1: Factorize the quadratic equation.

${w}^{2} + 4 w - 12$ can be written as ${w}^{2} + 6 w - 2 w - 12$

=> $w \left(w + 6\right) - 2 \left(w + 6\right)$ =$\left(w + 6\right) \left(w - 2\right)$

Step 2: Now substitute the factors in the denominator of the given problem as

$\frac{- 1 \cdot \left(w + 6\right)}{\left(w + 6\right) \left(w - 2\right)}$

Cancelling $\left(w + 6\right)$, we get $\frac{- 1}{w - 2}$