# How do you multiply 5x(-2x^2+8x+12)?

Jun 9, 2017

See a solution process below:

#### Explanation:

To multiply this expression, multiply each term within the parenthesis by the term outside the parenthesis:

$\textcolor{red}{5 x} \left(- 2 {x}^{2} + 8 x + 12\right) \implies$

$\left(\textcolor{red}{5 x} \times - 2 {x}^{2}\right) + \left(\textcolor{red}{5 x} \times 8 x\right) + \left(\textcolor{red}{5 x} \times 12\right) \implies$

$- 10 {x}^{3} + 40 {x}^{2} + 60 x$