Factor
6\left(g+7\right)\left(g^{2}+7\right)
Evaluate
6\left(g+7\right)\left(g^{2}+7\right)
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6\left(g^{3}+7g^{2}+7g+49\right)
Factor out 6.
g^{2}\left(g+7\right)+7\left(g+7\right)
Consider g^{3}+7g^{2}+7g+49. Do the grouping g^{3}+7g^{2}+7g+49=\left(g^{3}+7g^{2}\right)+\left(7g+49\right), and factor out g^{2} in the first and 7 in the second group.
\left(g+7\right)\left(g^{2}+7\right)
Factor out common term g+7 by using distributive property.
6\left(g+7\right)\left(g^{2}+7\right)
Rewrite the complete factored expression. Polynomial g^{2}+7 is not factored since it does not have any rational roots.
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