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

Jun 8, 2018

$- 15 {w}^{3} + 10 {w}^{2} - 20 w$

#### Explanation:

Use the distributive property, which states that $a \left(b + c + d\right) = a b + a c + a d$.

$= 5 w \cdot - 3 {w}^{2} + 5 w \cdot 2 w - 5 w \cdot 4$

$= - 15 {w}^{3} + 10 {w}^{2} - 20 w$