Factor
2x^{2}\left(x+4\right)^{2}
Evaluate
2\left(x\left(x+4\right)\right)^{2}
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2\left(x^{4}+8x^{3}+16x^{2}\right)
Factor out 2.
x^{2}\left(x^{2}+8x+16\right)
Consider x^{4}+8x^{3}+16x^{2}. Factor out x^{2}.
\left(x+4\right)^{2}
Consider x^{2}+8x+16. Use the perfect square formula, a^{2}+2ab+b^{2}=\left(a+b\right)^{2}, where a=x and b=4.
2x^{2}\left(x+4\right)^{2}
Rewrite the complete factored expression.
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