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Expression simplification/ Factorization polynomials/ x^3-x^2+x

Factor polynomial x^3-x^2+x

An expression to simplify:

The solution

You have entered [src] 
 3    2    
x  - x  + x
$$x + \left(x^{3} - x^{2}\right)$$ 
x^3 - x^2 + x
General simplification [src] 
  /     2    \
x*\1 + x  - x/
$$x \left(x^{2} - x + 1\right)$$ 
x*(1 + x^2 - x)
Factorization [src] 
  /              ___\ /              ___\
  |      1   I*\/ 3 | |      1   I*\/ 3 |
x*|x + - - + -------|*|x + - - - -------|
  \      2      2   / \      2      2   /
$$x \left(x + \left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right)\right) \left(x + \left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right)\right)$$ 
(x*(x - 1/2 + i*sqrt(3)/2))*(x - 1/2 - i*sqrt(3)/2)
Rational denominator [src] 
     3    2
x + x  - x
$$x^{3} - x^{2} + x$$ 
x + x^3 - x^2
Powers [src] 
     3    2
x + x  - x
$$x^{3} - x^{2} + x$$ 
x + x^3 - x^2
Numerical answer [src] 
x + x^3 - x^2
x + x^3 - x^2
Common denominator [src] 
     3    2
x + x  - x
$$x^{3} - x^{2} + x$$ 
x + x^3 - x^2
Trigonometric part [src] 
     3    2
x + x  - x
$$x^{3} - x^{2} + x$$ 
x + x^3 - x^2
Assemble expression [src] 
     3    2
x + x  - x
$$x^{3} - x^{2} + x$$ 
x + x^3 - x^2
Combining rational expressions [src] 
x*(1 + x*(-1 + x))
$$x \left(x \left(x - 1\right) + 1\right)$$ 
x*(1 + x*(-1 + x))
Combinatorics [src] 
  /     2    \
x*\1 + x  - x/
$$x \left(x^{2} - x + 1\right)$$ 
x*(1 + x^2 - x)
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