Write in Simply form: Can you help?

6x^2+13x+6/3x^2+x-2=

(6X^2 + 13X + 6) / (3X^2 + X - 2) =

Factor numerator and denominator and get:
(3X+2)(2X+3) / (3X-2)(X+1).

The AC method was used for factoring:
6X^2 + 13X + 6.

A*C = 6*6 = 36 = 1*36 = 2*18 = 4*9.
Select the pair whose sum equals B(13).
6X^2 + 4X+9X + 6,
Group the 4 terms in factorable pairs:
(6X^2 + 4X) + (9X + 6) =
Factor each binomial:
2X(3X + 2) + 3(3X + 2)=
(3X + 2)(2X + 3).

Repeat the procedure for the denominator.