# How do you multiply (-b^3+4b+3)(2b^2)?

Mar 25, 2017

See the solution process below:

#### Explanation:

To multiply these two terms, you multiply each term within the parenthesis by $\textcolor{red}{2 {b}^{2}}$

$\left(- {b}^{3} + 4 b + 3\right) \left(\textcolor{red}{2 {b}^{2}}\right) \to$

$\left(\textcolor{red}{2 {b}^{2}} \times - {b}^{3}\right) + \left(\textcolor{red}{2 {b}^{2}} \times 4 b\right) + \left(\textcolor{red}{2 {b}^{2}} \times 3\right)$

$- 2 {b}^{5} + 8 {b}^{3} + 6 {b}^{2}$