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

##### 1 Answer
Nov 27, 2017

"Standard form" for a polynomial is with all the factors worked out and arranged from highest to lowest exponent.
$y = - 9 {x}^{3} + 16 {x}^{2} - 24 x - 8$

#### Explanation:

First, we combine the factors:
y = (4x−2x^2)(4x−3) − (x + 2)^3
y = (16x^2 - 8x^3 - 12x + 6x^2) − (x^3 + 4x^2 + 4x + 2x^2 + 8x + 8)

$y = - 9 {x}^{3} + 16 {x}^{2} - 24 x - 8$