Why do I get different answers for inverse?

I'm not sure what's going on here. Same numbers, but using inv() gives me different answers than finding the inverse using adjoint over determinate.

clc;clear all;
syms s a

a = [ [0 1 0] ;
      [-2 -4 1] ;
      [0 0 6];];
matrix = s*eye(3) - a;

xs =  inv(matrix) * [0;0;1;] *(1/(s+1))
pretty(xs)

b=adjoint(matrix);
c=det(matrix);

x2s =  (b/c)* [0;0;1;] * (1/(s+1)) ;
pretty(x2s)

gives me

xs =

   -1/((s + 1)*(- s^3 + 2*s^2 + 22*s + 12))
   -s/((s + 1)*(- s^3 + 2*s^2 + 22*s + 12))
                        1/((s + 1)*(s - 6))

/                   1                 \
| - --------------------------------- |
|               3      2              |
|   (s + 1) (- s  + 2 s  + 22 s + 12) |
|                                     |
|                   s                 |
| - --------------------------------- |
|               3      2              |
|   (s + 1) (- s  + 2 s  + 22 s + 12) |
|                                     |
|                  1                  |
|           ---------------           |
\           (s + 1) (s - 6)           /

/                   1                 \
| - --------------------------------- |
|               3      2              |
|   (s + 1) (- s  + 2 s  + 22 s + 12) |
|                                     |
|                   s                 |
| - --------------------------------- |
|               3      2              |
|   (s + 1) (- s  + 2 s  + 22 s + 12) |
|                                     |
|               2                     |
|              s  + 4 s + 2           |
| - --------------------------------- |
|               3      2              |
\   (s + 1) (- s  + 2 s  + 22 s + 12) /

Answer 1

[Carlos Felipe Rengifo]

The variables "xs" and "x2s" contain equivalent mathematical expressions. The variable "xs" is a simplified version of the variable "x2s". You can verify this by writing the following sentence:

>> simplify(xs-x2s)

ans =

 0
 0
 0