Factoring Out Negative Exponents

Aug 2015
16
0
California
http://imgur.com/G1hNHou

I've eliminated answer choices B, C, and D, and I'm pretty sure the answer is A. I'm not sure if I've mixed up a sign or something, because I keep getting answer choice A but with 1 instead of 1+2x in the numerator.

Help Please!
Thank you

 

skeeter

MHF Helper
Jun 2008
16,217
6,765
North Texas



$\displaystyle \frac{x^{-2/3} \left[\frac{1}{3}(1-x)+x \right]}{(1-x)^2}$

$\displaystyle \frac{\frac{1}{3}(1-x) +x}{x^{2/3}(1-x)^2}$

$\displaystyle \frac{(1-x)+3x}{3x^{2/3}(1-x)^2}$

looks like choice A to me.
 
  • Like
Reactions: 2 people