Solution - Simplification or other simple results

Step  1  :

Equation at the end of step  1  :

  ((6 • (b2)) +  6) -  5b2
 Step  2  :

Equation at the end of step  2  :

  ((2•3b2) +  6) -  5b2

Step  3  :

Polynomial Roots Calculator :

 3.1    Find roots (zeroes) of :       F(b) = b²+6
Polynomial Roots Calculator is a set of methods aimed at finding values of  b  for which   F(b)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  b  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  1  and the Trailing Constant is  6.

 The factor(s) are:

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

 Let us test ....

Polynomial Roots Calculator found no rational roots

Final result :

  b2 + 6