Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

 (1): "r2"   was replaced by   "r^2". 

Step  1  :

Trying to factor by splitting the middle term

 1.1     Factoring  r²+18r+32 

The first term is,  r²  its coefficient is  1 .
The middle term is,  +18r  its coefficient is  18 .
The last term, "the constant", is  +32 

Step-1 : Multiply the coefficient of the first term by the constant   1 • 32 = 32 

Step-2 : Find two factors of  32  whose sum equals the coefficient of the middle term, which is   18 .

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  2  and  16 
                     r² + 2r + 16r + 32

Step-4 : Add up the first 2 terms, pulling out like factors :
                    r • (r+2)
              Add up the last 2 terms, pulling out common factors :
                    16 • (r+2)
Step-5 : Add up the four terms of step 4 :
                    (r+16)  •  (r+2)
             Which is the desired factorization

Final result :

  (r + 16) • (r + 2)