Solution - Factoring multivariable polynomials

Step  1  :

Equation at the end of step  1  :

  (((3•(y3))•z)-((3•(y2))•(z2)))-(2•32yz3)
 Step  2  :

Equation at the end of step  2  :

  (((3•(y3))•z)-(3y2•z2))-(2•32yz3)
 Step  3  :

Equation at the end of step  3  :

  ((3y3 • z) -  3y2z2) -  (2•32yz3)

Step  4  :

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   3y³z - 3y²z² - 18yz³  =   3yz • (y² - yz - 6z²) 

Trying to factor a multi variable polynomial :

 5.2    Factoring    y² - yz - 6z² 

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

 Found a factorization  :  (y + 2z)•(y - 3z)

Final result :

  3yz • (y + 2z) • (y - 3z)