Answer
$\dfrac{2}{x^2}$
Work Step by Step
Adding the numerators and copying the common denominator, the given expression, $
\dfrac{4}{3x^2}+\dfrac{2}{3x^2}
,$ simplifies to
\begin{array}{l}\require{cancel}
\dfrac{4+2}{3x^2}
\\\\=
\dfrac{6}{3x^2}
\\\\=
\dfrac{\cancel{3}\cdot2}{\cancel{3}x^2}
\\\\=
\dfrac{2}{x^2}
.\end{array}