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