Solution - Factoring multivariable polynomials

Reformatting the input :

Changes made to your input should not affect the solution:

 (1): "y5"   was replaced by   "y^5".  1 more similar replacement(s).

Step  1  :

Equation at the end of step  1  :

  x -  y • (x5 - y5)

Step  2  :

Trying to factor a multi variable polynomial :

 2.1    Factoring    -x⁵y + x + y⁶ 

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

 Factorization fails

Final result :

  -x5y + x + y6