Solution - Simplification or other simple results

Step  1  :

Equation at the end of step  1  :

  ((2•3r2) -  8r) -  8

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   6r² - 8r - 8  =   2 • (3r² - 4r - 4) 

Trying to factor by splitting the middle term

 3.2     Factoring  3r² - 4r - 4 

The first term is,  3r²  its coefficient is  3 .
The middle term is,  -4r  its coefficient is  -4 .
The last term, "the constant", is  -4 

Step-1 : Multiply the coefficient of the first term by the constant   3 • -4 = -12 

Step-2 : Find two factors of  -12  whose sum equals the coefficient of the middle term, which is   -4 .

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -6  and  2 
                     3r² - 6r + 2r - 4

Step-4 : Add up the first 2 terms, pulling out like factors :
                    3r • (r-2)
              Add up the last 2 terms, pulling out common factors :
                    2 • (r-2)
Step-5 : Add up the four terms of step 4 :
                    (3r+2)  •  (r-2)
             Which is the desired factorization

Final result :

  2 • (r - 2) • (3r + 2)