Factor
\left(8c+7\right)\left(64c^{2}-56c+49\right)
Evaluate
512c^{3}+343
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\left(8c+7\right)\left(64c^{2}-56c+49\right)
Rewrite 512c^{3}+343 as \left(8c\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 64c^{2}-56c+49 is not factored since it does not have any rational roots.
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