Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

 (1): "y9"   was replaced by   "y^9". 

Step  1  :

Equation at the end of step  1  :

  (y2) -  (2•3y9)
 Step  2  :
 Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   y² - 6y⁹  =   -y² • (6y⁷ - 1) 

Polynomial Roots Calculator :

 3.2    Find roots (zeroes) of :       F(y) = 6y⁷ - 1
Polynomial Roots Calculator is a set of methods aimed at finding values of  y  for which   F(y)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  y  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  6  and the Trailing Constant is  -1.

 The factor(s) are:

of the Leading Coefficient :  1,2 ,3 ,6
 of the Trailing Constant :  1

 Let us test ....

Polynomial Roots Calculator found no rational roots

Final result :

  -y2 • (6y7 - 1)