Question 134829
x/(x^2-3x+2) + 3/(X^2+x-2)

Factor to get:

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

lcm = (x-2)(x+2)(x-1)

= [x(x+2)]/lcm + [3(x-2)]/lcm

= [x^2+2x + 3x-6]/lcm

= [x^2+5x-6]/lcm

= [(x+6)(x-1)]/[(x-2)(x+2)(x-1)]

Cancel (x-1)'s

= (x+6)/(x^2-4)

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Cheers,
Stan H.