SOLUTION: I have worked this problem multiple times and keep getting the same answer, but my friend gets a different answer than me every time and I don't know who's right. the problem is

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Question 651459: I have worked this problem multiple times and keep getting the same answer, but my friend gets a different answer than me every time and I don't know who's right.
the problem is: (x+3)/(x^2-x-2) + (x-1)/(x^2+2x+1)
the answer i get is 2x^2+x+5/(x-2)(x+1)(x+1)
Found 2 solutions by Alan3354, MathTherapy:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
(x+3)/(x^2-x-2) + (x-1)/(x^2+2x+1)
Factor the DENs
= %28x%2B3%29%2F%28%28x-2%29%2A%28x%2B1%29%29+%2B+%28x-1%29%2F%28x%2B1%29%5E2
Common DEN = (x-2)*(x+1)^2
=
=
= %282x%5E2+%2B+x+%2B+5%29%2F%28%28x-2%29%2A%28x%2B1%29%5E2%29%29

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
I have worked this problem multiple times and keep getting the same answer, but my friend gets a different answer than me every time and I don't know who's right.
the problem is: (x+3)/(x^2-x-2) + (x-1)/(x^2+2x+1)
the answer i get is 2x^2+x+5/(x-2)(x+1)(x+1)

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



------ Multiplying by LCD, (x - 2)(x + 1)(x + 1)

%28x%5E2+%2B+4x+%2B+3+%2B+x%5E2+-+3x+%2B+2%29%2F%28x+-2%29%28x+%2B+1%29%28x+%2B+1%29%29

%28x%5E2+%2B+x%5E2+%2B+4x+-+3x+%2B+3+%2B+2%29%2F%28x+-2%29%28x+%2B+1%29%28x+%2B+1%29%29

highlight_green%28%282x%5E2+%2B+x+%2B+5%29%2F%28x+-2%29%28x+%2B+1%29%28x+%2B+1%29%29%29 or highlight_green%28%282x%5E2+%2B+x+%2B+5%29%2F%28x+-2%29%28x+%2B+1%29%5E2%29%29%29

This means that you're right!!

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