Answer
$\dfrac{x-4}{2}$
Work Step by Step
Factoring the given expressions and cancelling the common factors between the numerator and the denominator, the given rational expression, $
\dfrac{x^2-8x+16}{2x-8}
,$ simplifies to
\begin{array}{l}\require{cancel}
\dfrac{(x-4)(x-4)}{2(x-4)}
\\\\=
\dfrac{(\cancel{x-4})(x-4)}{2(\cancel{x-4})}
\\\\=
\dfrac{x-4}{2}
.\end{array}
