Answer
$t^3-5t^2-t$
Work Step by Step
Removing the grouping symbols and then combining like terms, the given expression, $
(5t^3-3t^2+2t)-(4t^3+2t^2+3t)
,$ simplifies to
\begin{array}{l}\require{cancel}
5t^3-3t^2+2t-4t^3-2t^2-3t
\\\\=
(5t^3-4t^3)+(-3t^2-2t^2)+(2t-3t)
\\\\=
t^3-5t^2-t
.\end{array}