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Factorize $2 x^{3}+8 x^{2}+8 x$
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Step 1: The GCF is $2 \mathrm{x}$, therefore the polynomial can be written as: $2 \mathrm{x}\left(\mathrm{x}^{2}+4 \mathrm{x}+4\right)$

Step 2: Now we have to factor a polynomial with three terms and it looks like a perfect square trinomial. Therefore, $\left(x^{2}+4 x+4\right)$ can be factored as $(x+2)^{2}$

Step 3: Check to see if factors can be factored further. If not, you have reached the final answer i.e. $2 x^{3}+8 x^{2}+8 x=2 x(x+2)^{2}$

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