Answer
$w^3+8w^2+15w$.
Work Step by Step
The given expression is
$=(w+5)(w^2+3w)$
Use the FOIL method.
$=w(w^2)+w(3w)+5(w^2)+5(3w)$
Multiply.
$=w^3+3w^2+5w^2+15w$
Combine like terms.
$=w^3+8w^2+15w$
Hence, the product is $w^3+8w^2+15w$.