# How do you simplify (3x^2+x-2)/(x^2+3x+2)div (2x)/(x+2)?

Aug 24, 2016

$\frac{3 x - 2}{2 x}$

#### Explanation:

When you look at a problem and are stuck- well do something!
And the only thing that you can do here is factorise the quadratics

(3x^2+x-2)=(3x-2)((x +1)
$\left({x}^{2} + 3 x + 2\right) = \left(x + 2\right) \left(x + 1\right)$

So rewrite

$\frac{\left(3 x - 2\right) \left(x + 1\right)}{\left(x + 2\right) \left(x + 1\right)}$ x$\frac{x + 2}{2 x}$