# How do you simplify (2x^(3)-4x^(2)+12x+18)/(x+1)?

Oct 17, 2016

$2 {x}^{2} - 6 x + 18$

#### Explanation:

You have to make a long division
$\frac{2 {x}^{3} - 4 {x}^{2} + 12 x + 18}{x + 1} = 2 {x}^{2} - 6 x + 18$
Checking
$\left(2 {x}^{2} - 6 x + 18\right) \left(x + 1\right) = 2 {x}^{3} - 6 {x}^{2} + 18 x + 2 {x}^{2} - 6 x + 18$

Grouping similar terms
$= 2 {x}^{3} - 4 {x}^{2} + 12 x + 18$