Messing up my algebra seriously i need to re-learn my algebra

[camboguy]

messing up my algebra... seriously... i need to re-learn my algebra...

The Attempt at a Solution

ok so i have.
((3x^2)-6x)/(3((x^3)-(3x^2))^(2/3))

and i simplified it too.
((3x^2)-6x)/(3((x^(5/3))-(3x^(4/3))^(2/3))

then further simplified it too.
(3x(x-2))/(3x(x^(2/3))-(3x^(1/3)))

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

i found out that i am doing it wrong but i don't know what...

Thank You ahead of time. Thank You.

 

[cristo]

I've no idea what you've done form line 1 to line 2. However, $$(a+b)^c\neq a^c+b^c$$, in general.

I would start by factorising the terms in the denominator.

 

[Mentallic]

The most problematic part of solving this would be when factorising the denominator:

Generally, $$(ax+bx)^n = (x[a+b])^n = x^n(a+b)^n$$