Solution - Simplification or other simple results

Step  1  :

Equation at the end of step  1  :

  (2y2 -  y) -  3

Step  2  :

Trying to factor by splitting the middle term

 2.1     Factoring  2y²-y-3 

The first term is,  2y²  its coefficient is  2 .
The middle term is,  -y  its coefficient is  -1 .
The last term, "the constant", is  -3 

Step-1 : Multiply the coefficient of the first term by the constant   2 • -3 = -6 

Step-2 : Find two factors of  -6  whose sum equals the coefficient of the middle term, which is   -1 .

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -3  and  2 
                     2y² - 3y + 2y - 3

Step-4 : Add up the first 2 terms, pulling out like factors :
                    y • (2y-3)
              Add up the last 2 terms, pulling out common factors :
                     1 • (2y-3)
Step-5 : Add up the four terms of step 4 :
                    (y+1)  •  (2y-3)
             Which is the desired factorization

Final result :

  (2y - 3) • (y + 1)