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)


{{{(x + 3)/(x^2 - x - 2) + (x - 1)/(x^2 + 2x + 1)}}}


{{{(x + 3)/((x - 2)(x + 1)) + (x - 1)/((x + 1)(x + 1))}}}


{{{((x + 3)(x + 1) + (x - 1)(x - 2))/(x -2)(x + 1)(x + 1))}}} ------ Multiplying by LCD, (x - 2)(x + 1)(x + 1)


{{{(x^2 + 4x + 3 + x^2 - 3x + 2)/(x -2)(x + 1)(x + 1))}}} 


{{{(x^2 + x^2 + 4x - 3x + 3 + 2)/(x -2)(x + 1)(x + 1))}}} 


{{{highlight_green((2x^2 + x + 5)/(x -2)(x + 1)(x + 1)))}}} or {{{highlight_green((2x^2 + x + 5)/(x -2)(x + 1)^2)))}}}


This means that you're right!!


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