Factor
\left(a+b-2\right)\left(a^{2}-ab+2a+b^{2}+2b+4\right)
Evaluate
a^{3}+6ab+b^{3}-8
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a^{3}+6ba+b^{3}-8
Consider a^{3}+b^{3}-8+6ab as a polynomial over variable a.
\left(a+b-2\right)\left(a^{2}-ab+2a+b^{2}+2b+4\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}-8. One such factor is a+b-2. Factor the polynomial by dividing it by this factor.
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