$$a { x }^{ 6 } +5 { x }^{ 3 } { y }^{ 2 } +a { x }^{ 3 } y+5 { y }^{ 3 }$$
Factor
$\left(x^{3}+y\right)\left(ax^{3}+5y^{2}\right)$
Solution Steps
Do the grouping $ax^{6}+5x^{3}y^{2}+ax^{3}y+5y^{3}=\left(ax^{6}+5x^{3}y^{2}\right)+\left(ax^{3}y+5y^{3}\right)$, and factor out $x^{3}$ in the first and $y$ in the second group.
