Question 101217
    2x                  2x                 x
____________  plus   _________  minus   ________
x^2 - 3x + 2          x-1                 x- 2 
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The least common denominator is x^2-3x+2
Write eac fraction using the lcm, as follows:
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= 2x/lcm + 2x(x-2)/lcm - x(x-1)/lcm

Combine the numerators over the lcm, as follows;
= [2x + 2x^2-4x -x^2+x]/lcm

= [x^2-x]lcm

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

Cancel (x-1) to get:
= x/(x-2)

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Cheers,
Stan H.