# How do you simplify (2x-5)^3?

Jun 3, 2018

color(crimson)(8x^3-60x^2+150x-125

#### Explanation:

$\textcolor{w h i t e}{a a a a a a a a a a a a a}$$2 x - 5$
$\textcolor{w h i t e}{a a a a a a a a a a a}$$\times \underline{2 x - 5}$
$\textcolor{w h i t e}{a a a a a a a a a a a a a}$$4 {x}^{2} - 10 x$
$\textcolor{w h i t e}{a a a a a a a a a a a a a a a a a}$$- 10 x + 25$
$\textcolor{w h i t e}{a a a a a a a a a a a a a}$$\overline{4 {x}^{2} - 20 x + 25}$
$\textcolor{w h i t e}{a a a a a a a a a a}$$\times 2 x - 5$
$\textcolor{w h i t e}{a a a a a a a a a a a a a}$$\overline{8 {x}^{3} - 40 {x}^{2} + 50 x}$
$\textcolor{w h i t e}{a a a a a a a a a a a a a a a a a}$$- 20 {x}^{2} + 100 x - 125$
$\textcolor{w h i t e}{a a a a a a a a a a a a a a}$$\overline{8 {x}^{3} - 60 {x}^{2} + 150 x - 125}$

$\textcolor{w h i t e}{a a a a a a a a a a a a a a}$$\textcolor{c r i m s o n}{8 {x}^{3} - 60 {x}^{2} + 150 x - 125}$