Solution - Simplification or other simple results

Step  1  :

Equation at the end of step  1  :

  (22a2 -  12a) -  8

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   4a² - 12a - 8  =   4 • (a² - 3a - 2) 

Trying to factor by splitting the middle term

 3.2     Factoring  a² - 3a - 2 

The first term is,  a²  its coefficient is  1 .
The middle term is,  -3a  its coefficient is  -3 .
The last term, "the constant", is  -2 

Step-1 : Multiply the coefficient of the first term by the constant   1 • -2 = -2 

Step-2 : Find two factors of  -2  whose sum equals the coefficient of the middle term, which is   -3 .

Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored

Final result :

  4 • (a2 - 3a - 2)