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Expression simplification/ Factorization polynomials/ c^3+x^2+1-3*c^3+5

Factor polynomial c^3+x^2+1-3*c^3+5

An expression to simplify:

The solution

You have entered [src] 
 3    2          3    
c  + x  + 1 - 3*c  + 5
$$\left(- 3 c^{3} + \left(\left(c^{3} + x^{2}\right) + 1\right)\right) + 5$$ 
c^3 + x^2 + 1 - 3*c^3 + 5
General simplification [src] 
     2      3
6 + x  - 2*c
$$- 2 c^{3} + x^{2} + 6$$ 
6 + x^2 - 2*c^3
Factorization [src] 
                    /         ________                ________\ /         ________                ________\
                    |        /      2                /      2 | |        /      2                /      2 |
/         ________\ |       /      x         ___    /      x  | |       /      x         ___    /      x  |
|        /      2 | |    3 /   3 + --    I*\/ 3 *3 /   3 + -- | |    3 /   3 + --    I*\/ 3 *3 /   3 + -- |
|       /      x  | |    \/        2             \/        2  | |    \/        2             \/        2  |
|c - 3 /   3 + -- |*|c + ------------- + ---------------------|*|c + ------------- - ---------------------|
\    \/        2  / \          2                   2          / \          2                   2          /
$$\left(c - \sqrt[3]{\frac{x^{2}}{2} + 3}\right) \left(c + \left(\frac{\sqrt[3]{\frac{x^{2}}{2} + 3}}{2} + \frac{\sqrt{3} i \sqrt[3]{\frac{x^{2}}{2} + 3}}{2}\right)\right) \left(c + \left(\frac{\sqrt[3]{\frac{x^{2}}{2} + 3}}{2} - \frac{\sqrt{3} i \sqrt[3]{\frac{x^{2}}{2} + 3}}{2}\right)\right)$$ 
((c - (3 + x^2/2)^(1/3))*(c + (3 + x^2/2)^(1/3)/2 + i*sqrt(3)*(3 + x^2/2)^(1/3)/2))*(c + (3 + x^2/2)^(1/3)/2 - i*sqrt(3)*(3 + x^2/2)^(1/3)/2)
Numerical answer [src] 
6.0 + x^2 - 2.0*c^3
6.0 + x^2 - 2.0*c^3
Trigonometric part [src] 
     2      3
6 + x  - 2*c
$$- 2 c^{3} + x^{2} + 6$$ 
6 + x^2 - 2*c^3
Combinatorics [src] 
     2      3
6 + x  - 2*c
$$- 2 c^{3} + x^{2} + 6$$ 
6 + x^2 - 2*c^3
Powers [src] 
     2      3
6 + x  - 2*c
$$- 2 c^{3} + x^{2} + 6$$ 
6 + x^2 - 2*c^3
Rational denominator [src] 
     2      3
6 + x  - 2*c
$$- 2 c^{3} + x^{2} + 6$$ 
6 + x^2 - 2*c^3
Assemble expression [src] 
     2      3
6 + x  - 2*c
$$- 2 c^{3} + x^{2} + 6$$ 
6 + x^2 - 2*c^3
Common denominator [src] 
     2      3
6 + x  - 2*c
$$- 2 c^{3} + x^{2} + 6$$ 
6 + x^2 - 2*c^3
Combining rational expressions [src] 
     2      3
6 + x  - 2*c
$$- 2 c^{3} + x^{2} + 6$$ 
6 + x^2 - 2*c^3
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