Solution - Factoring multivariable polynomials

Step  1  :

Equation at the end of step  1  :

  (((6 • (x5)) • y) +  2xy3) -  6y
 Step  2  :

Equation at the end of step  2  :

  (((2•3x5) • y) +  2xy3) -  6y

Step  3  :

Step  4  :

Pulling out like terms :

 4.1     Pull out like factors :

   6x⁵y + 2xy³ - 6y  =   2y • (3x⁵ + xy² - 3) 

Trying to factor a multi variable polynomial :

 4.2    Factoring    3x⁵ + xy² - 3 

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

 Factorization fails

Final result :

  2y • (3x5 + xy2 - 3)