\(4\left(3x-2\right)+\left(2-3x\right)^3\)
\(=\left(2-3x\right)^3-4\left(2-3x\right)\)
\(=\left(2-3x\right)\left[\left(2-3x\right)^2-4\right]\)
\(=\left(-3x+2\right)\left(-3x+2-2\right)\left(-3x+2+2\right)\)
\(=-3x\cdot\left(-3x+2\right)\left(-3x+4\right)\)