# What is the standard form of  y= (2x-1)(3x+4)(2x+5)?

Nov 29, 2015

$y = 12 {x}^{3} + 40 {x}^{2} + 17 x - 20$

#### Explanation:

A cubic function can be expressed in standard form as:

$y = a {x}^{3} + b {x}^{2} + c x + d$

To write the equation in standard form, we have to expand the brackets:

$y = \left(2 x - 1\right) \left(3 x + 4\right) \left(2 x + 5\right)$
$y = \left(6 {x}^{2} + 8 x - 3 x - 4\right) \left(2 x + 5\right)$
$y = \left(6 {x}^{2} + 5 x - 4\right) \left(2 x + 5\right)$
$y = \left(12 {x}^{3} + 30 {x}^{2} + 10 {x}^{2} + 25 x - 8 x - 20\right)$
$y = 12 {x}^{3} + 40 {x}^{2} + 17 x - 20$