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Simplificación de expresiones/ Descomposición de multiplicadores/ 1-x^2/1-x^3

Factorizar el polinomio 1-x^2/1-x^3

Expresión a simplificar:

Solución

Ha introducido [src] 
     2     
    x     3
1 - -- - x 
    1
$$- x^{3} + \left(- \frac{x^{2}}{1} + 1\right)$$ 
1 - x^2/1 - x^3
Descomposición de una fracción [src] 
1 - x^2 - x^3
$$- x^{3} - x^{2} + 1$$ 
     2    3
1 - x  - x
Simplificación general [src] 
     2    3
1 - x  - x
$$- x^{3} - x^{2} + 1$$ 
1 - x^2 - x^3
Factorización [src] 
/             _____________                                                       \ /             _____________                                                       \ /             _____________                       \
|            /        ____  /          ___\                                       | |            /        ____  /          ___\                                       | |            /        ____                        |
|    1      /  25   \/ 69   |  1   I*\/ 3 |                    1                  | |    1      /  25   \/ 69   |  1   I*\/ 3 |                    1                  | |    1      /  25   \/ 69              1          |
|x + - - 3 /   -- + ------ *|- - - -------| - ------------------------------------|*|x + - - 3 /   -- + ------ *|- - + -------| - ------------------------------------|*|x + - - 3 /   -- + ------  - --------------------|
|    3   \/    54     18    \  2      2   /                          _____________| |    3   \/    54     18    \  2      2   /                          _____________| |    3   \/    54     18             _____________|
|                                               /          ___\     /        ____ | |                                               /          ___\     /        ____ | |                                   /        ____ |
|                                               |  1   I*\/ 3 |    /  25   \/ 69  | |                                               |  1   I*\/ 3 |    /  25   \/ 69  | |                                  /  25   \/ 69  |
|                                             9*|- - - -------|*3 /   -- + ------ | |                                             9*|- - + -------|*3 /   -- + ------ | |                             9*3 /   -- + ------ |
\                                               \  2      2   / \/    54     18   / \                                               \  2      2   / \/    54     18   / \                               \/    54     18   /
$$\left(x + \left(\frac{1}{3} - \frac{1}{9 \left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{\sqrt{69}}{18} + \frac{25}{54}}} - \left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{\sqrt{69}}{18} + \frac{25}{54}}\right)\right) \left(x + \left(\frac{1}{3} - \left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{\sqrt{69}}{18} + \frac{25}{54}} - \frac{1}{9 \left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{\sqrt{69}}{18} + \frac{25}{54}}}\right)\right) \left(x + \left(- \sqrt[3]{\frac{\sqrt{69}}{18} + \frac{25}{54}} - \frac{1}{9 \sqrt[3]{\frac{\sqrt{69}}{18} + \frac{25}{54}}} + \frac{1}{3}\right)\right)$$ 
((x + 1/3 - (25/54 + sqrt(69)/18)^(1/3)*(-1/2 - i*sqrt(3)/2) - 1/(9*(-1/2 - i*sqrt(3)/2)*(25/54 + sqrt(69)/18)^(1/3)))*(x + 1/3 - (25/54 + sqrt(69)/18)^(1/3)*(-1/2 + i*sqrt(3)/2) - 1/(9*(-1/2 + i*sqrt(3)/2)*(25/54 + sqrt(69)/18)^(1/3))))*(x + 1/3 - (25/54 + sqrt(69)/18)^(1/3) - 1/(9*(25/54 + sqrt(69)/18)^(1/3)))
Denominador racional [src] 
     2    3
1 - x  - x
$$- x^{3} - x^{2} + 1$$ 
1 - x^2 - x^3
Respuesta numérica [src] 
1.0 - x^3 - 1.0*x^2
1.0 - x^3 - 1.0*x^2
Compilar la expresión [src] 
     2    3
1 - x  - x
$$- x^{3} - x^{2} + 1$$ 
1 - x^2 - x^3
Potencias [src] 
     2    3
1 - x  - x
$$- x^{3} - x^{2} + 1$$ 
1 - x^2 - x^3
Combinatoria [src] 
     2    3
1 - x  - x
$$- x^{3} - x^{2} + 1$$ 
1 - x^2 - x^3
Unión de expresiones racionales [src] 
     2    3
1 - x  - x
$$- x^{3} - x^{2} + 1$$ 
1 - x^2 - x^3
Parte trigonométrica [src] 
     2    3
1 - x  - x
$$- x^{3} - x^{2} + 1$$ 
1 - x^2 - x^3
Denominador común [src] 
     2    3
1 - x  - x
$$- x^{3} - x^{2} + 1$$ 
1 - x^2 - x^3
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