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Math Help - Simplify

  1. #1
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    Simplify

    Express this answer as a fraction without any negative exponents:

    2x(2x-1)^(-1/2) - 2(2x-1)^(1/2)

    Factor and simplify it. I have problems with this one.
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  2. #2
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    2x(2x-1)^(-1/2) - 2(2x-1)^(1/2)
    2x(2x-1)^{-\frac{1}{2}} - 2(2x-1)^{\frac{1}{2}} =

    note that the GCF of both terms is 2(2x-1)^{-\frac{1}{2}} ...

    2(2x-1)^{-\frac{1}{2}}[x - (2x-1)] =

    2(2x-1)^{-\frac{1}{2}}(1 - x) = \frac{2(1-x)}{\sqrt{2x-1}}
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