Question 186605
-6/(x-1) + (2-x)/x

lcd = x(x-1)

Rewrite each fraction withthe lcd as its denominator:

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

Combine the numerators over the lcd:

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

Simplify:

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

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

= [-x^2 - -3x - 2]/lcd

= -(x^2 + 3x +2)/(x(x-1))

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Cheers,
Stan H.