Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

 (1): "o2"   was replaced by   "o^2".  2 more similar replacement(s).

Step  1  :

Equation at the end of step  1  :

  mas2 -  2abc2h3o2

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   mas² - 2abc²h³o²  =   a • (ms² - 2bc²h³o²) 

Trying to factor as a Difference of Cubes:

 3.2      Factoring:  ms² - 2bc²h³o² 

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

Final result :

  a • (ms2 - 2bc2h3o2)