Factor
\left(q-1\right)\left(q^{2}+q+1\right)
Evaluate
q^{3}-1
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\left(q-1\right)\left(q^{2}+q+1\right)
Rewrite q^{3}-1 as q^{3}-1^{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 q^{2}+q+1 is not factored since it does not have any rational roots.
Examples
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