Solution - Factoring multivariable polynomials

Reformatting the input :

Changes made to your input should not affect the solution:

 (1): "c3"   was replaced by   "c^3".  2 more similar replacement(s).

Step  1  :

Trying to factor a multi variable polynomial :

 1.1    Factoring    a³ - b³ - c³ 

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

 Factorization fails

Final result :

  a3 - b3 - c3