Factor
\left(7z-5\right)\left(49z^{2}+35z+25\right)
Evaluate
343z^{3}-125
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\left(7z-5\right)\left(49z^{2}+35z+25\right)
Rewrite 343z^{3}-125 as \left(7z\right)^{3}-5^{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). Polynomial 49z^{2}+35z+25 is not factored since it does not have any rational roots.
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