Solution - Simplification or other simple results

Step  1  :

Equation at the end of step  1  :

  ((3•5y2) -  450y) -  195000

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   15y² - 450y - 195000  =   15 • (y² - 30y - 13000) 

Trying to factor by splitting the middle term

 3.2     Factoring  y² - 30y - 13000 

The first term is,  y²  its coefficient is  1 .
The middle term is,  -30y  its coefficient is  -30 .
The last term, "the constant", is  -13000 

Step-1 : Multiply the coefficient of the first term by the constant   1 • -13000 = -13000 

Step-2 : Find two factors of  -13000  whose sum equals the coefficient of the middle term, which is   -30 .

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -130  and  100 
                     y² - 130y + 100y - 13000

Step-4 : Add up the first 2 terms, pulling out like factors :
                    y • (y-130)
              Add up the last 2 terms, pulling out common factors :
                    100 • (y-130)
Step-5 : Add up the four terms of step 4 :
                    (y+100)  •  (y-130)
             Which is the desired factorization

Final result :

  15 • (y + 100) • (y - 130)