Answer
$\dfrac{x^{2}y^2}{4}$
Work Step by Step
Using the laws of exponents, the given expression, $
\dfrac{3x^3y^2}{12x}
,$ simplifies to
\begin{array}{l}\require{cancel}
\dfrac{\cancel{3}x^{3-1}y^2}{\cancel{3}\cdot4}
\\\\=
\dfrac{x^{2}y^2}{4}
.\end{array}