3x ^2 - 9 x y ^2+ 12 X ^3Y^2

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
[tex]3 x ^ { 2 } y - 9 x y ^ { 2 } + 12 x ^ { 3 } y ^ { 2 }[/tex]
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex]3 x ^ { 2 } y - 9 x y ^ { 2 } + 12 x ^ { 3 } y ^ { 2 }[/tex]
Factor out [tex]3[/tex].
[tex]3\left(x^{2}y-3xy^{2}+4x^{3}y^{2}\right) [/tex]
Consider [tex]x^{2}y-3xy^{2}+4x^{3}y^{2}[/tex]. Factor out [tex]xy[/tex].
[tex]xy\left(x-3y+4x^{2}y\right) [/tex]
Rewrite the complete factored expression.
[tex] \boxed{ \boxed{ \bf \: 3xy\left(x-3y+4x^{2}y\right) }}[/tex]