Solution - Factoring multivariable polynomials

Step  1  :

Equation at the end of step  1  :

  (((36x•(y2))•(z3))+((36•(x3))•(y2)))+((32x2•y)•z)
 Step  2  :

Equation at the end of step  2  :

  (((36x•(y2))•(z3))+((22•32x3)•y2))+32x2yz
 Step  3  :

Equation at the end of step  3  :

  (((22•32xy2) • z3) +  (22•32x3y2)) +  32x2yz

Step  4  :

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   36x³y² + 9x²yz + 36xy²z³  =   9xy • (4x²y + xz + 4yz³) 

Trying to factor a multi variable polynomial :

 5.2    Factoring    4x²y + xz + 4yz³ 

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

 Factorization fails

Final result :

  9xy • (4x2y + xz + 4yz3)