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

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Question 387482: 8)Perform the indicated operation. Simplify if possible.

Please help!

Found 3 solutions by tara0066, edjones, Alan3354:
Answer by tara0066(31)   (Show Source): You can put this solution on YOUR website!
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)   (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))

.
Ed

Answer by Alan3354(69443)   (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.

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