Question 186605: -6/x-1+2-x/x
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! -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.
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