Question

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

Answer 1

`(-1)/(w-2)`

Explanation:

Step 1: Factorize the quadratic equation.

`w^2+4w-12` can be written as `w^2+6w-2w-12`

=> `w(w+6) -2(w+6)` =`(w+6)(w-2)`

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

`(-1*(w+6))/((w+6)(w-2))`

Cancelling `(w+6)`, we get `(-1)/(w-2)`