Factor
2x\left(2x-7\right)\left(4x^{2}+14x+49\right)
Evaluate
16x^{4}-686x
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2\left(8x^{4}-343x\right)
Factor out 2.
x\left(8x^{3}-343\right)
Consider 8x^{4}-343x. Factor out x.
\left(2x-7\right)\left(4x^{2}+14x+49\right)
Consider 8x^{3}-343. Rewrite 8x^{3}-343 as \left(2x\right)^{3}-7^{3}. The difference of cubes can be factored using the rule: a^{3}-b^{3}=\left(a-b\right)\left(a^{2}+ab+b^{2}\right).
2x\left(2x-7\right)\left(4x^{2}+14x+49\right)
Rewrite the complete factored expression. Polynomial 4x^{2}+14x+49 is not factored since it does not have any rational roots.
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