Factor
\left(3g+7\right)\left(9g^{2}-21g+49\right)
Evaluate
27g^{3}+343
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\left(3g+7\right)\left(9g^{2}-21g+49\right)
Rewrite 27g^{3}+343 as \left(3g\right)^{3}+7^{3}. The sum of cubes can be factored using the rule: a^{3}+b^{3}=\left(a+b\right)\left(a^{2}-ab+b^{2}\right). Polynomial 9g^{2}-21g+49 is not factored since it does not have any rational roots.
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