If x > 2, then X^2 -X – 6/X^2 – 4 equals?

Steps would be greatly appreciated so I know how to do it!

First, we need to guess what is divided by what.

So, I will add brackets to show what I think is the question

(x^2 – x – 6) / (x^2 – 4)

With this, the condition x>2 makes sense: it keeps the denominator positive and non-zero.

So, we have

x^2 – x – 6 = (x-3)(x+2)

and

(x^2 – 4) = (x-2)(x+2)

The problem can be rewritten:

(x^2 – x – 6) / (x^2 – 4) = [(x-3)(x+2)] / [(x-2)(x+2)] = (x-3)/(x-2)

If this is for homework at an introduction level, you can stop here.

If x 2 then x^2-x-6/x^2-4