Solution - Simplification or other simple results

Step  1  :

Equation at the end of step  1  :

  (((6•(p2))-5p)-2)-(((0-2p2)+7p)+8)
 Step  2  :

Equation at the end of step  2  :

  (((2•3p2) -  5p) -  2) -  (-2p2 + 7p + 8)

Step  3  :

Step  4  :

Pulling out like terms :

 4.1     Pull out like factors :

   8p² - 12p - 10  =   2 • (4p² - 6p - 5) 

Trying to factor by splitting the middle term

 4.2     Factoring  4p² - 6p - 5 

The first term is,  4p²  its coefficient is  4 .
The middle term is,  -6p  its coefficient is  -6 .
The last term, "the constant", is  -5 

Step-1 : Multiply the coefficient of the first term by the constant   4 • -5 = -20 

Step-2 : Find two factors of  -20  whose sum equals the coefficient of the middle term, which is   -6 .

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

Final result :

  2 • (4p2 - 6p - 5)