Factor
\left(2A-B-1\right)\left(4A^{2}+2AB+2A+B^{2}-B+1\right)
Evaluate
8A^{3}-6AB-B^{3}-1
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8A^{3}-6BA-B^{3}-1
Consider 8A^{3}-B^{3}-1-6AB as a polynomial over variable A.
\left(2A-B-1\right)\left(4A^{2}+2AB+2A+B^{2}-B+1\right)
Find one factor of the form kA^{m}+n, where kA^{m} divides the monomial with the highest power 8A^{3} and n divides the constant factor -B^{3}-1. One such factor is 2A-B-1. Factor the polynomial by dividing it by this factor.
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