Solution - Simplification or other simple results

Step  1  :

Equation at the end of step  1  :

  (24b260 • b) -  100
 Step  2  :
 Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   16b²⁶¹ - 100  =   -4 • (25 - 4b²⁶¹) 

Trying to factor as a Difference of Cubes:

 3.2      Factoring:  25 - 4b²⁶¹ 

Theory : A difference of two perfect cubes,  a³ - b³ can be factored into
              (a-b) • (a² +ab +b²)

Proof :  (a-b)•(a²+ab+b²) =
            a³+a²b+ab²-ba²-b²a-b³ =
            a³+(a²b-ba²)+(ab²-b²a)-b³ =
            a³+0+0-b³ =
            a³-b³

Check :  25  is not a cube !!

Ruling : Binomial can not be factored as the difference of two perfect cubes

Final result :

  -4 • (25 - 4b261)