Factor
\left(a^{2}+1\right)\left(a^{4}-a^{2}+1\right)
Evaluate
a^{6}+1
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\left(a^{2}+1\right)\left(a^{4}-a^{2}+1\right)
Rewrite 1+a^{6} as \left(a^{2}\right)^{3}+1^{3}. The sum of cubes can be factored using the rule: p^{3}+q^{3}=\left(p+q\right)\left(p^{2}-pq+q^{2}\right). The following polynomials are not factored since they do not have any rational roots: a^{4}-a^{2}+1,a^{2}+1.
Examples
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Simultaneous equation
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Limits
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