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