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

Feb 13, 2016

$y = 6 {x}^{3} + 13 {x}^{2} - 19 x - 12$

#### Explanation:

Given
$\textcolor{w h i t e}{\text{XXX}} y = \left(2 x + 1\right) \left(3 x - 4\right) \left(x + 3\right)$

color(white)("XXX")y="["2x*3x+2x*(-4)+1*3x+1*(-4)"]"(x+3)

color(white)("XXX")y="[" 6x^2-5x-4"]"(x+3)

$\textcolor{w h i t e}{\text{XXX}} y = \left(6 {x}^{3} - 5 {x}^{2} - 4 x\right) + \left(18 {x}^{2} - 15 x - 12\right)$

$\textcolor{w h i t e}{\text{XXX}} y = 6 {x}^{3} + 13 {x}^{2} - 19 x - 12$

since the terms are in decreasing degree order, this is the "standard form"