Question

3x ^2 - 9 x y ^2+ 12 X ^3Y^2​

Answer 1

$\huge \boxed{\mathfrak{Question} \downarrow}$

$3 x ^ { 2 } y - 9 x y ^ { 2 } + 12 x ^ { 3 } y ^ { 2 }$

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

$3 x ^ { 2 } y - 9 x y ^ { 2 } + 12 x ^ { 3 } y ^ { 2 }$

Factor out $3$.

$3\left(x^{2}y-3xy^{2}+4x^{3}y^{2}\right)$

Consider $x^{2}y-3xy^{2}+4x^{3}y^{2}$. Factor out $xy$.

$xy\left(x-3y+4x^{2}y\right)$

Rewrite the complete factored expression.

$\boxed{ \boxed{ \bf \: 3xy\left(x-3y+4x^{2}y\right) }}$