Question

Substitute X=S+2 into (4/X)-X Simplify as much as possible

Answer 1

I cant figure out if its (-s^2-4s)/s+2 or positive (s^2+4s)/s+2

Answer 2

[4/(s+2)]-s+2
multiply by the conjugate=s-2
[4(s-2)/(s+2)]-(s+2)(s-2)
4s-8-(s^2-4s-4)
s^2-8s-4
Don't quote me on this, I was never the best with conjugates. Also, you may be able to find s, but I have trouble with simplifying those too. Good luck!

Answer 3

Can someone verify this answer? Is there a way to do it with common denominators?