Solution - Factoring multivariable polynomials

Step  1  :

Equation at the end of step  1  :

  (2x • (a - b)) -  2 • (a + b)

Step  2  :

Equation at the end of step  2  :

  2x • (a - b) -  2 • (a + b)

Step  3  :

Step  4  :

Pulling out like terms :

 4.1     Pull out like factors :

   2xa - 2xb - 2a - 2b  = 

  2 • (xa - xb - a - b) 

Trying to factor a multi variable polynomial :

 4.2       Split       xa - xb - a - b 
             into two 2-term polynomials
              - xb + xa   and     - a - b
             This partition did not result in a factorization. We'll try another one:

             xa - xb   and     - a - b
             This partition did not result in a factorization. We'll try another one:

             xa - a   and     - xb - b
             This partition did not result in a factorization. We'll try another one:

             xa - b   and     - a - xb
             This partition did not result in a factorization. We'll try another one:

              - b + xa   and     - a - xb
             This partition did not result in a factorization. We'll try another one:

              - a + xa   and     - xb - b
            All three partitions failed. Tiger finds no factorization

Final result :

  2 • (xa - xb - a - b)