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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- Jan 27th 2009, 02:37 PMDCHomageSimplify
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. - Jan 27th 2009, 03:30 PMskeeterQuote:

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

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

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

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