Solution - Factoring multivariable polynomials

Reformatting the input :

Changes made to your input should not affect the solution:

 (1): "b3"   was replaced by   "b^3".  3 more similar replacement(s).

Step  1  :

Equation at the end of step  1  :

  (((22•3a3) • b) -  a2b2) -  ab3

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   12a³b - a²b² - ab³  =   ab • (12a² - ab - b²) 

Trying to factor a multi variable polynomial :

 3.2    Factoring    12a² - ab - b² 

Try to factor this multi-variable trinomial using trial and error 

 Found a factorization  :  (3a - b)•(4a + b)

Final result :

  ab • (3a - b) • (4a + b)