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6\left(4x+4x^{2}+x^{3}\right)
Factor out 6.
x\left(4+4x+x^{2}\right)
Consider 4x+4x^{2}+x^{3}. Factor out x.
\left(x+2\right)^{2}
Consider 4+4x+x^{2}. 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.