Can you please verify my simplified expressions and point out where I went out wrong if I made mistakes:

(3x+1)/(2x^2-2) + (2x+2)/(2x^2-8x+6)=5x+1/2(x+1)(x-3)

3 answers

Oh my !!!

How about factoring first and see where that gets you?
(3x+1)/[2(x+1)(x-1)]+2(x+1)/[2(x-3)(x-1)]

[(3x+1)(x-3)+(x+1)^2 ]/[(x^2-1)(x-3)]

[ 3x^2-8x-3 +x^2+2x+1 ]/[(x^2-1)(x-3)]

[4x^2-6x-2]/[(x^2-1)(x-3)]

2[2x^2-3x-1] / [(x^2-1)(x-3)]
Thanks for your help,Damon
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