Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

 (1): "x1"   was replaced by   "x^1". 

Step  1  :

 1.1     Evaluate :  (x-1)3   =    x3-3x2+3x-1 

Step  2  :

Pulling out like terms :

 2.1     Pull out like factors :

   -3x² + 3x - 1  =   -1 • (3x² - 3x + 1) 

Trying to factor by splitting the middle term

 2.2     Factoring  3x² - 3x + 1 

The first term is,  3x²  its coefficient is  3 .
The middle term is,  -3x  its coefficient is  -3 .
The last term, "the constant", is  +1 

Step-1 : Multiply the coefficient of the first term by the constant   3 • 1 = 3 

Step-2 : Find two factors of  3  whose sum equals the coefficient of the middle term, which is   -3 .

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

Final result :

  -3x2 + 3x - 1