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Solution - Simplification or other simple results

13u2+13u+8
13u^2+13u+8

Step by Step Solution

Reformatting the input :

Changes made to your input should not affect the solution:

 (1): "u2"   was replaced by   "u^2".  1 more similar replacement(s).

Step  1  :

Equation at the end of step  1  :

  (((4•(u2))+7u)+8)+(32u2+6u)

Step  2  :

Equation at the end of step  2  :

  ((22u2 +  7u) +  8) +  (9u2 + 6u)

Step  3  :

Trying to factor by splitting the middle term

 3.1     Factoring  13u2+13u+8 

The first term is,  13u2  its coefficient is  13 .
The middle term is,  +13u  its coefficient is  13 .
The last term, "the constant", is  +8 

Step-1 : Multiply the coefficient of the first term by the constant   13 • 8 = 104 

Step-2 : Find two factors of  104  whose sum equals the coefficient of the middle term, which is   13 .

     -104   +   -1   =   -105
     -52   +   -2   =   -54
     -26   +   -4   =   -30
     -13   +   -8   =   -21
     -8   +   -13   =   -21
     -4   +   -26   =   -30
     -2   +   -52   =   -54
     -1   +   -104   =   -105
     1   +   104   =   105
     2   +   52   =   54
     4   +   26   =   30
     8   +   13   =   21
     13   +   8   =   21
     26   +   4   =   30
     52   +   2   =   54
     104   +   1   =   105


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

Final result :

  13u2 + 13u + 8

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