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

May 7, 2017

$y = 3 {x}^{3} + 24 {x}^{2} + 24 x + 11$

#### Explanation:

We begin by multiplying everything out:
$y = \left({x}^{2} - 2\right) \left(3 x - 1\right) + {\left(5 x + 3\right)}^{2}$
$y = 3 {x}^{3} - {x}^{2} - 6 x + 2 + 25 {x}^{2} + 30 x + 9$
Then we simplify:
$y = 3 {x}^{3} + 24 {x}^{2} + 24 x + 11$