Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

 (1): "p2"   was replaced by   "p^2". 

Step  1  :

Equation at the end of step  1  :

  (2p2 +  13p) +  11

Step  2  :

Trying to factor by splitting the middle term

 2.1     Factoring  2p²+13p+11 

The first term is,  2p²  its coefficient is  2 .
The middle term is,  +13p  its coefficient is  13 .
The last term, "the constant", is  +11 

Step-1 : Multiply the coefficient of the first term by the constant   2 • 11 = 22 

Step-2 : Find two factors of  22  whose sum equals the coefficient of the middle term, which is   13 .

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  2  and  11 
                     2p² + 2p + 11p + 11

Step-4 : Add up the first 2 terms, pulling out like factors :
                    2p • (p+1)
              Add up the last 2 terms, pulling out common factors :
                    11 • (p+1)
Step-5 : Add up the four terms of step 4 :
                    (2p+11)  •  (p+1)
             Which is the desired factorization

Final result :

  (p + 1) • (2p + 11)