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