# How do you multiply 9x^3(x^2+x+1)?

Apr 29, 2017

$9 {x}^{5} + 9 {x}^{4} + 9 {x}^{3}$

#### Explanation:

Each term in the bracket is multiplied by $9 {x}^{3}$

$\Rightarrow \textcolor{red}{9 {x}^{3}} \left({x}^{2} + x + 1\right)$

$= \left(\textcolor{red}{9 {x}^{3}} \times {x}^{2}\right) + \left(\textcolor{red}{9 {x}^{3}} \times x\right) + \left(\textcolor{red}{9 {x}^{3}} \times 1\right)$

$= 9 {x}^{5} + 9 {x}^{4} + 9 {x}^{3}$