Condider the following equation f (x) = x^2+4 / (4x^2-4x-8)

x^2+4/4 (x-2) (x+1)

Step-by-step explanation:

I assume you're trying to put it in a simplified form.

The top is not factorable so you can focus on the bottom

take out the greatest common factor of 4 on the bottom

4 (x^2-x-2)

Then factor this expression

your factors should be - 2 and 1

so 4 (x-2) (x-1)

Final answer:

(x^2+4) / (4 (x-2) (x-1))