Solution - Factoring multivariable polynomials

Reformatting the input :

Changes made to your input should not affect the solution:

 (1): "z5"   was replaced by   "z^5". 

Step  1  :

Equation at the end of step  1  :

  
 Step  2  :

Equation at the end of step  2  :

  
 Step  3  :

Equation at the end of step  3  :

  
 Step  4  :

Equation at the end of step  4  :

Step  5  :

            2y5z8 - 35y4z5 + 21y3z 
 Simplify   ——————————————————————
                    7y4z7         

Step  6  :

Pulling out like terms :

 6.1     Pull out like factors :

   2y⁵z⁸ - 35y⁴z⁵ + 21y³z  =   y³z • (2y²z⁷ - 35yz⁴ + 21) 

Trying to factor a multi variable polynomial :

 6.2    Factoring    2y²z⁷ - 35yz⁴ + 21 

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

 Factorization fails

Dividing exponential expressions :

 6.3    y³ divided by y⁴ = y^{(3 - 4)} = y^(-1) = ¹/_y¹ = ¹/_y

Dividing exponential expressions :

 6.4    z¹ divided by z⁷ = z^{(1 - 7)} = z^(-6) = ¹/_z⁶

Final result :

  2y2z7 - 35yz4 + 21
  ——————————————————
         7yz6