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