3(3x-2)^1/3-(x-1)(3x-2)^-2/3/(3x-2)^2/3

what do you want to do? Simplify it? If so, let u=(3x-2)^1/3 for ease of reading. Then you have, assuming I'm interpreting thing correctly:

3(3x-2)^1/3 - (x-1)(3x-2)^-2/3 / (3x-2)^2/3

3u - (x-1)/u^2 / u^2
= 3u - (x-1)/u^4
= 3(3x-2)^1/3 - (x-1)/(3x-2)^4/3

Not sure where you want to go with that