# How do you simplify (x^2 + 5x + 8)(x^2 + 2x + 6)?

Mar 20, 2017

color(blue)(x^4+7x^3+24x^2+46x+48

#### Explanation:

$\textcolor{w h i t e}{a a a a a a a a a a a a a}$${x}^{2} + 5 x + 8$
$\textcolor{w h i t e}{a a a a a a a a a a a a a}$${x}^{2} + 2 x + 6$
$\textcolor{w h i t e}{a a a a a a a a a a a a a}$$- - - - -$
$\textcolor{w h i t e}{a a a a a a a a a a a a a}$${x}^{4} + 5 {x}^{3} + 8 {x}^{2}$
$\textcolor{w h i t e}{a a a a a a a a a a a a a a a a a}$$2 {x}^{3} + 10 {x}^{2} + 16 x$
$\textcolor{w h i t e}{a a a a a a a a a a a a a a a a a a a a a a a}$$6 {x}^{2} + 30 x + 48$
$\textcolor{w h i t e}{a a a a a a a a a a a a a}$$- - - - - - - - - -$
$\textcolor{w h i t e}{a a a a a a a a a a a a}$color(blue)(x^4+7x^3+24x^2+46x+48