1. ## Simplifying rational expressions

3x^2-5x-2
-----------------
6x^3+2x^2+3x+1'

k. I simplified it down to this but i couldn't go any further.

(3x-1)(x+2)
--------------------
(6x^3+2x^2)+(3x+1)

Thanks for the help in advance.

2. Originally Posted by ayanami_00
3x^2-5x-2
-----------------
6x^3+2x^2+3x+1'

k. I simplified it down to this but i couldn't go any further.

(3x-1)(x+2)
--------------------
(6x^3+2x^2)+(3x+1)

Thanks for the help in advance.
The numerator becomes,
$(3x+1)(x-2)$

The denominator can be re-grouped as,
$3x(2x^2+1)+(2x^2+1)$ thus,
$(3x+1)(2x^2+1)$

Thus, you have,
$\frac{(3x+1)(x-2)}{(3x+1)(2x^2+1)}$
Thus,
$\frac{x-2}{2x^2+1}$