# What is the standard form of  y= (-2x+1)(2x-4)(3x-1)?

May 15, 2017

color(blue)(y=-12x^3+34x^2-22x+4

#### Explanation:

$y = \left(- 2 x + 1\right) \left(2 x - 4\right) \left(3 x - 1\right)$

$\textcolor{w h i t e}{a a a a a a a a a a a a a}$$- 2 x + 1$
$\textcolor{w h i t e}{a a a a a a a a a a a a}$$\times \underline{2 x - 4}$
$\textcolor{w h i t e}{a a a a a a a a a a a a a}$$- 4 {x}^{2} + 2 x$
$\textcolor{w h i t e}{a a a a a a a a a a a a a a a a a a a a}$$8 x - 4$
$\textcolor{w h i t e}{a a a a a a a a a a a a a a}$$\overline{- 4 {x}^{2} + 10 x - 4}$
$\textcolor{w h i t e}{a a a a a a a a a a a a a}$$\times 3 x - 1$
$\textcolor{w h i t e}{a a a a a a a a a a a a a a}$$\overline{- 12 {x}^{3} + 30 {x}^{2} - 12 x}$
$\textcolor{w h i t e}{a a a a a a a a a a a a a a a a a a a a a a a}$$4 {x}^{2} - 10 x + 4$
$\textcolor{w h i t e}{a a a a a a a a a a a}$color(blue)(y=overline(-12x^3+34x^2-22x+4)