Solution - Factoring multivariable polynomials

Reformatting the input :

Changes made to your input should not affect the solution:

 (1): "y1"   was replaced by   "y^1".  1 more similar replacement(s).

Step  1  :

            y
 Simplify   —
            1

Equation at the end of step  1  :

    1 (x1)
  ((—-————)-y)-z
    1  1  
 Step  2  :
            x
 Simplify   —
            1

Equation at the end of step  2  :

    1                
  ((— -  x) -  y) -  z
    1                

Step  3  :

            1
 Simplify   —
            1

Equation at the end of step  3  :

  ((1 -  x) -  y) -  z

Step  4  :

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   -x - y - z + 1  = 

  -1 • (x + y + z - 1) 

Trying to factor a multi variable polynomial :

 5.2       Split       x + y + z - 1 
             into two 2-term polynomials
              + y + x   and     + z - 1
             This partition did not result in a factorization. We'll try another one:

             x + y   and     + z - 1
             This partition did not result in a factorization. We'll try another one:

             x + z   and     + y - 1
             This partition did not result in a factorization. We'll try another one:

             x - 1   and     + z + y
             This partition did not result in a factorization. We'll try another one:

              - 1 + x   and     + z + y
             This partition did not result in a factorization. We'll try another one:

              + z + x   and     + y - 1
            All three partitions failed. Tiger finds no factorization

Final result :

  -x - y - z + 1