SOLUTION: Perform the operation. Simplify your answer, if possible. Assume that no denominators are 0. x / (x-2) + (4+2x) / (x^2-4)

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Question 1128979: Perform the operation. Simplify your answer, if possible. Assume that no denominators are 0.
x / (x-2) + (4+2x) / (x^2-4)

Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
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x / (x-2) + (4+2x) / (x^2-4)
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The first step is:



A couple of combined simplifications steps could be



...
and then few more steps...

Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!




so the common denominator is .

Multiply numerator and denominator of the first fraction by (x+2); combine into a single fraction with the common denominator; and simplify the numerator by combining like terms. Then look to see if the numerator can be factored; possibly the numerator and denominator will have a common factor that allows further simplification.

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