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Solution - Simplification or other simple results

x(x26x8)
x*(x^2-6x-8)

Step by Step Solution

Reformatting the input :

Changes made to your input should not affect the solution:

 (1): "x2"   was replaced by   "x^2".  1 more similar replacement(s).

Step  1  :

Equation at the end of step  1  :

  ((x3) -  (2•3x2)) -  8x

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   x3 - 6x2 - 8x  =   x • (x2 - 6x - 8) 

Trying to factor by splitting the middle term

 3.2     Factoring  x2 - 6x - 8 

The first term is,  x2  its coefficient is  1 .
The middle term is,  -6x  its coefficient is  -6 .
The last term, "the constant", is  -8 

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

Step-2 : Find two factors of  -8  whose sum equals the coefficient of the middle term, which is   -6 .

     -8   +   1   =   -7
     -4   +   2   =   -2
     -2   +   4   =   2
     -1   +   8   =   7


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

Final result :

  x • (x2 - 6x - 8)

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