SOLUTION: 8)Perform the indicated operation. Simplify if possible. {{{3/(x+2)-2x/(x^2-4)}}} Please help!

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 8)Perform the indicated operation. Simplify if possible. {{{3/(x+2)-2x/(x^2-4)}}} Please help!      Log On


   

Question 387482: 8)Perform the indicated operation. Simplify if possible.
3%2F%28x%2B2%29-2x%2F%28x%5E2-4%29
Please help!
Found 3 solutions by tara0066, edjones, Alan3354:
Answer by tara0066(31) About Me  (Show Source):
You can put this solution on YOUR website!
3%2F%28x%2B2%29-2x%2F%28x%5E2-4%29 First off, factor the second denominator
3/(x+2)-2x/[(x+2)(x-2)] Next, your common denominator needs to be (x+2)(x-2), so you need to multiply your top and bottom of the first fraction with (x-2)
[(3)(x-2]/[(x+2)(x-2)]-2x/[(x+2)(x-2)] Now you can combine the numerators and leave the denominators the same.
[(3)(x-2)-2x]/[(x+2)(x-2)] Distribute the 3 and simplify the top.
(3x-6-2x)/[(x+2)(x-2)]
(x-6)/[(x+2)(x-2) ]Pray this works. Haven't messed with the whole fraction function yet.
Dang it, it didn't work. I am so sorry. Maybe you can half way follow this. I know it's messy.

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
(3/(x+2))-2x/(x^2-4)
(3(x-2)-2x)/((x-2)(x+2))
(3x-6-2x)/((x-2)(x+2))
%28x-6%29%2F%28%28x-2%29%28x%2B2%29%29
.
Ed

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
I don't know why tutor Tara said it didn't work.
That's the answer.