Solution - Simplification or other simple results

Step  1  :

Equation at the end of step  1  :

  (2x26 • x) -  8
 Step  2  :
 Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   2x²⁷ - 8  =   2 • (x²⁷ - 4) 

Trying to factor as a Difference of Cubes:

 3.2      Factoring:  x²⁷ - 4 

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 :  4  is not a cube !!
Ruling : Binomial can not be factored as the difference of two perfect cubes

Final result :

  2 • (x27 - 4)