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4\left(x^{3}+6x^{2}+9x\right)
Factor out 4.
x\left(x^{2}+6x+9\right)
Consider x^{3}+6x^{2}+9x. Factor out x.
\left(x+3\right)^{2}
Consider x^{2}+6x+9. Use the perfect square formula, a^{2}+2ab+b^{2}=\left(a+b\right)^{2}, where a=x and b=3.
4x\left(x+3\right)^{2}
Rewrite the complete factored expression.