$${ a }^{ 3 } - { b }^{ 2 } +a- { a }^{ 2 } { b }^{ 2 } +2 { a }^{ 2 } -2a { b }^{ 2 }$$
Factor
$\left(a-b^{2}\right)\left(a+1\right)^{2}$
Solution Steps
Do the grouping $a^{3}-b^{2}+a-a^{2}b^{2}+2a^{2}-2ab^{2}=\left(a^{3}+2a^{2}+a\right)+\left(-a^{2}b^{2}-2ab^{2}-b^{2}\right)$, and factor out $a$ in the first and $-b^{2}$ in the second group.
