# How do you find the product 5w(-3w^2+2w-4)?

$- 15 {w}^{3} + 10 {w}^{2} - 20 w$
Use the distributive property, which states that $a \left(b + c + d\right) = a b + a c + a d$.
$= 5 w \cdot - 3 {w}^{2} + 5 w \cdot 2 w - 5 w \cdot 4$
$= - 15 {w}^{3} + 10 {w}^{2} - 20 w$