I'm afraid your answer is not correct.
Here is a step-by step solution.
Factor 3x out of all terms:
Factor x2 out of the first two term in parentheses
and +2 out of the last two terms in parentheses:
Now we have a common factor of (3x-2),
so we factor it out inside the parentheses:
Now we can drop the bigger parentheses:
Not even close!! Sorry!!
------ Factoring out GCF, 3x
3x(3x^3 - 2x^2 + 6x - 4)
------ Factoring out GCF in pairs