Answer
$v^3+5v^2-24v$.
Work Step by Step
The given expression is
$=(v-3)(v^2+8v)$
Use the FOIL method.
$=v(v^2)+v(8v)-3(v^2)-3(8v)$
Multiply.
$=v^3+8v^2-3v^2-24v$
Combine like terms.
$=v^3+5v^2-24v$
Hence, the product is $v^3+5v^2-24v$.