Answer
$-6n^3+24n^2-3n$
Work Step by Step
Using $a(b+c)=ab+ac$ or the Distributive Property, the given expression, $
-3n(2n^2-8n+1)
$, is equivalent to
\begin{array}{l}\require{cancel}
-3n(2n^2)-3n(-8n)-3n(1)
\\\\=
-6n^3+24n^2-3n
.\end{array}