Factor
\left(2x^{2}-7\right)\left(4x^{4}+14x^{2}+49\right)
Evaluate
8x^{6}-343
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\left(2x^{2}-7\right)\left(4x^{4}+14x^{2}+49\right)
Rewrite 8x^{6}-343 as \left(2x^{2}\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). The following polynomials are not factored since they do not have any rational roots: 2x^{2}-7,4x^{4}+14x^{2}+49.
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