# How do you simplify -3x^2(x^2 + 3x)?

May 1, 2017

#### Answer:

See the solution process below:

#### Explanation:

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

$\textcolor{red}{- 3 {x}^{2}} \left({x}^{2} + 3 x\right) \implies$

$\left(\textcolor{red}{- 3 {x}^{2}} \cdot {x}^{2}\right) + \left(\textcolor{red}{- 3 {x}^{2}} \cdot 3 x\right) \implies$

$- 3 {x}^{4} - 9 {x}^{3}$