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

1 Answer
Jun 27, 2016

(-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)