SOLUTION: Apologies, I made a mistake with the first question I wrote. I meant to post: Simplify: {{{3/(x^2+x)+2/(x^2-1)}}} Sorry to be a hassle.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Apologies, I made a mistake with the first question I wrote. I meant to post: Simplify: {{{3/(x^2+x)+2/(x^2-1)}}} Sorry to be a hassle.      Log On


   

Question 651516: Apologies, I made a mistake with the first question I wrote.
I meant to post:
Simplify:
3%2F%28x%5E2%2Bx%29%2B2%2F%28x%5E2-1%29
Sorry to be a hassle.
Found 2 solutions by nerdybill, MathTherapy:
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!

3%2F%28x%5E2%2Bx%29%2B2%2F%28x%5E2-1%29
.
notice, the denominators can be factored:
.
3%2F%28x%28x%2B1%29%29%2B2%2F%28%28x-1%29%28x%2B1%29%29
3%28x-1%29%2F%28x%28x%2B1%29%28x-1%29%29%2B2x%2F%28x%28x-1%29%28x%2B1%29%29
%283%28x-1%29%2B2x%29%2F%28x%28x-1%29%28x%2B1%29%29
%283x-3%2B2x%29%2F%28x%28x-1%29%28x%2B1%29%29
%285x-3%29%2F%28x%28x-1%29%28x%2B1%29%29

Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!
Apologies, I made a mistake with the first question I wrote.
I meant to post:
Simplify:
3%2F%28x%5E2%2Bx%29%2B2%2F%28x%5E2-1%29
Sorry to be a hassle.

3%2F%28x%5E2+%2B+x%29%2B+2%2F%28x%5E2+-+1%29

%283%28x+-+1%29+%2B+2x%29%2F%28x%28x+%2B+1%29%28x+-+1%29%29 ---- Multiplying by LCD, x%28x+%2B+1%29%28x+-+1%29

%283x+-+3+%2B+2x%29%2F%28x%28x+%2B+1%29%28x+-+1%29%29

highlight_green%28%285x+-+3%29%2F%28x%28x+%2B+1%29%28x+-+1%29%29%29, or highlight_green%28%285x+-+3%29%2F%28x%28x%5E2+-+1%29%29%29

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