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

Apr 4, 2018

color(green)(x^3+9x^2+27x+27

#### Explanation:

${\left(x + 3\right)}^{3}$
$\textcolor{w h i t e}{a a a a a a a a a a a a a}$$x + 3$
$\textcolor{w h i t e}{a a a a a a a a a a a}$$\times \underline{x + 3}$
$\textcolor{w h i t e}{a a a a a a a a a a a a a}$${x}^{2} + 3 x$
$\textcolor{w h i t e}{a a a a a a a a a a a a a a a a a a}$$3 x + 9$
$\textcolor{w h i t e}{a a a a a a a a a a a a a}$$\overline{{x}^{2} + 6 x + 9}$
$\textcolor{w h i t e}{a a a a a a a a a a a}$$\times x + 3$
$\textcolor{w h i t e}{a a a a a a a a a a a a a}$$\overline{{x}^{3} + 6 {x}^{2} + 9 x}$
$\textcolor{w h i t e}{a a a a a a a a a a a a a a a a a}$$3 {x}^{2} + 18 x + 27$
$\textcolor{w h i t e}{a a a a a a a a a a a a a}$$\overline{{x}^{3} + 9 {x}^{2} + 27 x + 27}$

$\textcolor{w h i t e}{a a a a a a a a a a a a a}$color(green)(x^3+9x^2+27x+27