SOLUTION: Hello. I'm practicing for an exam and I need some help with the following problem: Perform the indicated operation and simplify: 2/x+2 + 3/x+2 - x+6/x^2 - 4 thanks!

Algebra ->  Equations -> SOLUTION: Hello. I'm practicing for an exam and I need some help with the following problem: Perform the indicated operation and simplify: 2/x+2 + 3/x+2 - x+6/x^2 - 4 thanks!      Log On


   

Question 189392: Hello.
I'm practicing for an exam and I need some help with the following problem:
Perform the indicated operation and simplify:
2/x+2 + 3/x+2 - x+6/x^2 - 4
thanks!
Answer by user_dude2008(1862) About Me  (Show Source):
You can put this solution on YOUR website!
2/(x+2) + 3/(x+2) - (x+6)/(x^2 - 4)

2/(x+2) + 3/(x+2) - (x+6)/[(x+2)(x-2)]

[2(x-2)]/[(x+2)(x-2)] + 3/(x+2) - (x+6)/[(x+2)(x-2)]

[2(x-2)]/[(x+2)(x-2)] + [3(x-2)]/[(x+2)(x-2)] - (x+6)/[(x+2)(x-2)]

(2x-4)/[(x+2)(x-2)] + (3x-6)/[(x+2)(x-2)] - (x+6)/[(x+2)(x-2)]

(2x-4+3x-6-x-6)/[(x+2)(x-2)]

(4x-16)/[(x+2)(x-2)]

(4x-16)/(x^2-4)


Ans: 2/(x+2) + 3/(x+2) - (x+6)/(x^2 - 4) = (4x-16)/(x^2-4)