Answer
$-7t^3-15t^3-t^2+9t$
Work Step by Step
Using $a(b+c)=ab+ac$ or the Distributive Property, the given expression, $
-7t^3-t^2-3(5t^3-3t)
$, is equivalent to
\begin{array}{l}\require{cancel}
-7t^3-t^2-3(5t^3)-3(-3t)
\\\\=
-7t^3-t^2-15t^3+9t
\\\\=
-7t^3-15t^3-t^2+9t
.\end{array}