Question

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

Answer 1

`(3x-2)/(2x)`

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)`
`(x ^2+3x+2)=(x +2)(x+1)`

So rewrite

`((3x-2)(x +1))/((x +2)(x+1))` x`(x +2)/(2x)`

Cancel and you have your answer