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

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Perform the operation. Simplify your answer, if possible. Assume that no denominators are 0. x / (x-2) + (4+2x) / (x^2-4)       Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
---
x / (x-2) + (4+2x) / (x^2-4)
---

x+%2F+%28x-2%29+%2B+%284%2B2x%29+%2F+%28x%5E2-4%29+


The first step is:

%28x+%2F+%28x-2%29%29%28%28x%2B2%29%2F%28x%2B2%29%29+%2B+%284%2B2x%29+%2F+%28x%5E2-4%29

A couple of combined simplifications steps could be
%28x%28x%2B2%29%2B4%2B2x%29%2F%28x%5E2-4%29


...
and then few more steps...

Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


x%5E2-4+=+%28x-2%29%28x%2B2%29

so the common denominator is x%5E2-4.

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.