SOLUTION: I have a complex fraction and I do not think I am simplifying right, please help me. -(4)/(x-1)+(2-2x)/x I get -2(x^2+1)/(x-1)x I do not think my answer is simplified as low a

Algebra ->  Expressions-with-variables -> SOLUTION: I have a complex fraction and I do not think I am simplifying right, please help me. -(4)/(x-1)+(2-2x)/x I get -2(x^2+1)/(x-1)x I do not think my answer is simplified as low a      Log On


   



Question 294009: I have a complex fraction and I do not think I am simplifying right, please help me.
-(4)/(x-1)+(2-2x)/x
I get -2(x^2+1)/(x-1)x
I do not think my answer is simplified as low as possible?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
-(4)/(x-1)+(2-2x)/x
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lcd: x(x-1)
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Rewrite each fraction with the lcd as its denominator:
(-4x)/lcd + [2(1-x))(x-1)]/lcd
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Combine the numerators over the lcd:
[-4x -2(x-1)^2]/lcd
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[-4x -2(x^2-2x+1)]/lcd
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[-4x -2x^2+4x-2]/lcd
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[-2x^2-2]/lcd
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[-2(x^2+1)]/[x(x-1)]
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Cheers,
Stan H.
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