Asked by Alex
                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)
            
        (3x+1)/(2x^2-2) + (2x+2)/(2x^2-8x+6)=5x+1/2(x+1)(x-3)
Answers
                    Answered by
            Reiny
            
    Oh my !!!
How about factoring first and see where that gets you?
    
How about factoring first and see where that gets you?
                    Answered by
            Damon
            
    (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)]
                    Answered by
            Alex
            
    Thanks for your help,Damon
    
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