Factor
7\left(z+7\right)^{2}z^{4}
Evaluate
7\left(z+7\right)^{2}z^{4}
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7\left(z^{6}+14z^{5}+49z^{4}\right)
Factor out 7.
z^{4}\left(z^{2}+14z+49\right)
Consider z^{6}+14z^{5}+49z^{4}. Factor out z^{4}.
\left(z+7\right)^{2}
Consider z^{2}+14z+49. Use the perfect square formula, a^{2}+2ab+b^{2}=\left(a+b\right)^{2}, where a=z and b=7.
7z^{4}\left(z+7\right)^{2}
Rewrite the complete factored expression.
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