$${ m }^{ 2 } { p }^{ 2 } -3n { p }^{ 2 } + { m }^{ 2 } { z }^{ 2 } -3n { z }^{ 2 }$$
Factor
$\left(m^{2}-3n\right)\left(z^{2}+p^{2}\right)$
Solution Steps
Do the grouping $m^{2}p^{2}-3np^{2}+m^{2}z^{2}-3nz^{2}=\left(m^{2}p^{2}-3np^{2}\right)+\left(m^{2}z^{2}-3nz^{2}\right)$, and factor out $p^{2}$ in the first and $z^{2}$ in the second group.