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2\left(9x^{3}+12x^{2}+4x\right)
Factor out 2.
x\left(9x^{2}+12x+4\right)
Consider 9x^{3}+12x^{2}+4x. Factor out x.
\left(3x+2\right)^{2}
Consider 9x^{2}+12x+4. Use the perfect square formula, a^{2}+2ab+b^{2}=\left(a+b\right)^{2}, where a=3x and b=2.
2x\left(3x+2\right)^{2}
Rewrite the complete factored expression.