Question

How do you simplify `(3w^2-12)/(w^2+5w+6)`?

Answer 1

We must factor both the numerator and the denominator.

`=(3(w^2 - 4))/((w + 3)(w + 2))`

`= (3(w + 2)(w - 2))/((w + 3)(w + 2))`

`=(3(w - 2))/(w +3)`

Finally, let's note the restrictions on the variable. We cannot have the denominator equal 0, so `w !=3 and -2`.

Hopefully this helps!