Factor
\left(2c+7\right)\left(4c^{2}-14c+49\right)
Evaluate
8c^{3}+343
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\left(2c+7\right)\left(4c^{2}-14c+49\right)
Rewrite 8c^{3}+343 as \left(2c\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 4c^{2}-14c+49 is not factored since it does not have any rational roots.
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