Answer
$16x^2-\dfrac{2}{3}x-\dfrac{1}{6}$
Work Step by Step
Using the FOIL Method, $(a+b)(c+d)=ac+ad+bc+bd$, the given expression simplifies to
\begin{align*}
&
\left( 4x+\dfrac{1}{3} \right)\left( 4x-\dfrac{1}{2} \right)
\\\\&=
16x^2-2x+\dfrac{4}{3}x-\dfrac{1}{6}
\\\\&=
16x^2-\dfrac{6}{3}x+\dfrac{4}{3}x-\dfrac{1}{6}
\\\\&=
16x^2-\dfrac{2}{3}x-\dfrac{1}{6}
.\end{align*}
