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6\left(x^{3}-4x^{2}+4x\right)
Factor out 6.
x\left(x^{2}-4x+4\right)
Consider x^{3}-4x^{2}+4x. Factor out x.
\left(x-2\right)^{2}
Consider x^{2}-4x+4. Use the perfect square formula, a^{2}-2ab+b^{2}=\left(a-b\right)^{2}, where a=x and b=2.
6x\left(x-2\right)^{2}
Rewrite the complete factored expression.