Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

 (1): "b2"   was replaced by   "b^2". 

Step  1  :

Equation at the end of step  1  :

  ((5ab - (2•5b2)) + 15bc)
  ———————————————————————— • b
             5            

Step  2  :

            5ab - 10b2 + 15bc
 Simplify   —————————————————
                    5        

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   5ab - 10b² + 15bc  =   5b • (a - 2b + 3c) 

Equation at the end of step  3  :

  b • (a - 2b + 3c) • b

Step  4  :

Multiplying exponential expressions :

 4.1    b¹ multiplied by b¹ = b^{(1 + 1)} = b²

Final result :

  b2 • (a - 2b + 3c)