Solution - Simplification or other simple results

Step  1  :

Equation at the end of step  1  :

  ((3•5y2) +  20y) -  25

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   15y² + 20y - 25  =   5 • (3y² + 4y - 5) 

Trying to factor by splitting the middle term

 3.2     Factoring  3y² + 4y - 5 

The first term is,  3y²  its coefficient is  3 .
The middle term is,  +4y  its coefficient is  4 .
The last term, "the constant", is  -5 

Step-1 : Multiply the coefficient of the first term by the constant   3 • -5 = -15 

Step-2 : Find two factors of  -15  whose sum equals the coefficient of the middle term, which is   4 .

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

Final result :

  5 • (3y2 + 4y - 5)