Simplify by combining using a common denominator : S s²-4 2 57 / 2² 4-s (s − 2)(s+2)

Hello! This is my first time using this so apologies if I am misusing this.

This is a question I have been struggling with for a few days. My initial thought is to subtract both sides by 2/(s+2), split s/(s^2 - 4) into s/(s-2)(s+2), then multiply both sides by (s+2).

Then the equation wuld turn into s/(s-2) - 2(s-2)/(s-2) = (-s - 4)/(s-2)

That is as close to the right answer as I have gotten. Could you tell me where I'm going wrong?

Thank you.