Oh my !!!
How about factoring first and see where that gets you?
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
(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)]
[(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