Question

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

Answer 1

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

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))