Thread: 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.

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,


The denominator can be re-grouped as,
thus,


Thus, you have,

Thus,