Simplificación general
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$$x^{3} - x^{2} - x + 20$$
/ ___________________ \ / ___________________ \ / ___________________\
| / _______ / ___\| | / _______ / ___\| | / _______ |
| / 529 3*\/ 31065 | 1 I*\/ 3 || | / 529 3*\/ 31065 | 1 I*\/ 3 || | / 529 3*\/ 31065 |
| 3 / --- + ----------- *|- - - -------|| | 3 / --- + ----------- *|- - + -------|| | 3 / --- + ----------- |
| 1 4 \/ 2 2 \ 2 2 /| | 1 4 \/ 2 2 \ 2 2 /| | 1 4 \/ 2 2 |
|x + - - + ------------------------------------------ + ----------------------------------------|*|x + - - + ------------------------------------------ + ----------------------------------------|*|x + - - + -------------------------- + ------------------------|
| 3 ___________________ 3 | | 3 ___________________ 3 | | 3 ___________________ 3 |
| / ___\ / _______ | | / ___\ / _______ | | / _______ |
| | 1 I*\/ 3 | / 529 3*\/ 31065 | | | 1 I*\/ 3 | / 529 3*\/ 31065 | | / 529 3*\/ 31065 |
| 3*|- - - -------|*3 / --- + ----------- | | 3*|- - + -------|*3 / --- + ----------- | | 3*3 / --- + ----------- |
\ \ 2 2 / \/ 2 2 / \ \ 2 2 / \/ 2 2 / \ \/ 2 2 /
$$\left(x + \left(- \frac{1}{3} + \frac{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3 \sqrt{31065}}{2} + \frac{529}{2}}}{3} + \frac{4}{3 \left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3 \sqrt{31065}}{2} + \frac{529}{2}}}\right)\right) \left(x + \left(- \frac{1}{3} + \frac{4}{3 \left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3 \sqrt{31065}}{2} + \frac{529}{2}}} + \frac{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3 \sqrt{31065}}{2} + \frac{529}{2}}}{3}\right)\right) \left(x + \left(- \frac{1}{3} + \frac{4}{3 \sqrt[3]{\frac{3 \sqrt{31065}}{2} + \frac{529}{2}}} + \frac{\sqrt[3]{\frac{3 \sqrt{31065}}{2} + \frac{529}{2}}}{3}\right)\right)$$
((x - 1/3 + 4/(3*(-1/2 - i*sqrt(3)/2)*(529/2 + 3*sqrt(31065)/2)^(1/3)) + (529/2 + 3*sqrt(31065)/2)^(1/3)*(-1/2 - i*sqrt(3)/2)/3)*(x - 1/3 + 4/(3*(-1/2 + i*sqrt(3)/2)*(529/2 + 3*sqrt(31065)/2)^(1/3)) + (529/2 + 3*sqrt(31065)/2)^(1/3)*(-1/2 + i*sqrt(3)/2)/3))*(x - 1/3 + 4/(3*(529/2 + 3*sqrt(31065)/2)^(1/3)) + (529/2 + 3*sqrt(31065)/2)^(1/3)/3)
Denominador racional
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$$x^{3} - x^{2} - x + 20$$
$$x^{3} - x^{2} - x + 20$$
$$x^{3} - x^{2} - x + 20$$
$$x^{3} - x^{2} - x + 20$$
Unión de expresiones racionales
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$$x \left(x \left(x - 1\right) - 1\right) + 20$$
Compilar la expresión
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$$x^{3} - x^{2} - x + 20$$
Parte trigonométrica
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$$x^{3} - x^{2} - x + 20$$