Factor
4\left(7x+2\right)\left(49x^{2}-14x+4\right)
Evaluate
1372x^{3}+32
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4\left(8+343x^{3}\right)
Factor out 4.
\left(7x+2\right)\left(49x^{2}-14x+4\right)
Consider 8+343x^{3}. Rewrite 8+343x^{3} as \left(7x\right)^{3}+2^{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).
4\left(7x+2\right)\left(49x^{2}-14x+4\right)
Rewrite the complete factored expression. Polynomial 49x^{2}-14x+4 is not factored since it does not have any rational roots.
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