1. 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.

2. 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 $2(2x-1)^{-\frac{1}{2}}$ ...

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

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