Factor
\left(a+b\right)\left(a^{2}-ab+b^{2}+1\right)
Evaluate
a^{3}+a+b^{3}+b
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a^{3}+a+b^{3}+b
Consider a^{3}+b^{3}+a+b as a polynomial over variable a.
\left(a+b\right)\left(a^{2}-ab+b^{2}+1\right)
Find one factor of the form a^{k}+m, where a^{k} divides the monomial with the highest power a^{3} and m divides the constant factor b^{3}+b. One such factor is a+b. Factor the polynomial by dividing it by this factor.
Examples
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