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

Factor polynomial x^3-3*x^3-x+3

An expression to simplify:

The solution

You have entered [src] 
 3      3        
x  - 3*x  - x + 3
$$\left(- x + \left(- 3 x^{3} + x^{3}\right)\right) + 3$$ 
x^3 - 3*x^3 - x + 3
Factorization [src] 
        /            ___\ /            ___\
        |    1   I*\/ 5 | |    1   I*\/ 5 |
(x - 1)*|x + - + -------|*|x + - - -------|
        \    2      2   / \    2      2   /
$$\left(x - 1\right) \left(x + \left(\frac{1}{2} + \frac{\sqrt{5} i}{2}\right)\right) \left(x + \left(\frac{1}{2} - \frac{\sqrt{5} i}{2}\right)\right)$$ 
((x - 1)*(x + 1/2 + i*sqrt(5)/2))*(x + 1/2 - i*sqrt(5)/2)
General simplification [src] 
           3
3 - x - 2*x
$$- 2 x^{3} - x + 3$$ 
3 - x - 2*x^3
Trigonometric part [src] 
           3
3 - x - 2*x
$$- 2 x^{3} - x + 3$$ 
3 - x - 2*x^3
Rational denominator [src] 
           3
3 - x - 2*x
$$- 2 x^{3} - x + 3$$ 
3 - x - 2*x^3
Powers [src] 
           3
3 - x - 2*x
$$- 2 x^{3} - x + 3$$ 
3 - x - 2*x^3
Combining rational expressions [src] 
      /        2\
3 + x*\-1 - 2*x /
$$x \left(- 2 x^{2} - 1\right) + 3$$ 
3 + x*(-1 - 2*x^2)
Common denominator [src] 
           3
3 - x - 2*x
$$- 2 x^{3} - x + 3$$ 
3 - x - 2*x^3
Assemble expression [src] 
           3
3 - x - 2*x
$$- 2 x^{3} - x + 3$$ 
3 - x - 2*x^3
Combinatorics [src] 
          /             2\
-(-1 + x)*\3 + 2*x + 2*x /
$$- \left(x - 1\right) \left(2 x^{2} + 2 x + 3\right)$$ 
-(-1 + x)*(3 + 2*x + 2*x^2)
Numerical answer [src] 
3.0 - x - 2.0*x^3
3.0 - x - 2.0*x^3
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