Answer
$\dfrac{-a-8}{4a(a-2)}$
Work Step by Step
Factoring the given expression, $
\dfrac{3}{4a-8}-\dfrac{a+2}{a^2-2a}
,$ results to
\begin{array}{l}\require{cancel}
\dfrac{3}{4(a-2)}-\dfrac{a+2}{a(a-2)}
.\end{array}
Using the $LCD=
4a(a-2)
$, the expression above simplifies to
\begin{array}{l}
\dfrac{a(3)-4(a+2)}{4a(a-2)}
\\\\=
\dfrac{3a-4a-8}{4a(a-2)}
\\\\=
\dfrac{-a-8}{4a(a-2)}
.\end{array}
