Sr Examen
¿Cómo vas a descomponer esta (1/(x-1))^-1/(x+1)-x+2/(x^2-1) expresión en fracciones?
Solución
Ha introducido
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1 2 ------------- - x + ------ 1 2 -----*(x + 1) x - 1 x - 1
$$\left(- x + \frac{1}{\frac{1}{x - 1} \left(x + 1\right)}\right) + \frac{2}{x^{2} - 1}$$
1/(1/(x - 1)*(x + 1)) - x + 2/(x^2 - 1)
Descomposición de una fracción
[src]
1 + 1/(-1 + x) - x - 3/(1 + x)
$$- x + 1 - \frac{3}{x + 1} + \frac{1}{x - 1}$$
1 3
1 + ------ - x - -----
-1 + x 1 + x
Simplificación general
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2 3
3 + x - x - x
---------------
2
-1 + x
$$\frac{- x^{3} + x^{2} - x + 3}{x^{2} - 1}$$
(3 + x^2 - x - x^3)/(-1 + x^2)
Respuesta numérica
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-x + 2.0/(-1.0 + x^2) + (-1.0 + x)/(1.0 + x)
-x + 2.0/(-1.0 + x^2) + (-1.0 + x)/(1.0 + x)
Denominador racional
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/ 2\
2 + 2*x + \-1 + x /*(-1 + x - x*(1 + x))
----------------------------------------
/ 2\
(1 + x)*\-1 + x /
$$\frac{2 x + \left(x^{2} - 1\right) \left(- x \left(x + 1\right) + x - 1\right) + 2}{\left(x + 1\right) \left(x^{2} - 1\right)}$$
(2 + 2*x + (-1 + x^2)*(-1 + x - x*(1 + x)))/((1 + x)*(-1 + x^2))
Compilar la expresión
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2 -1 + x
-x + ------- + ------
2 1 + x
-1 + x
$$- x + \frac{x - 1}{x + 1} + \frac{2}{x^{2} - 1}$$
-x + 2/(-1 + x^2) + (-1 + x)/(1 + x)
Parte trigonométrica
[src]
2 -1 + x
-x + ------- + ------
2 1 + x
-1 + x
$$- x + \frac{x - 1}{x + 1} + \frac{2}{x^{2} - 1}$$
-x + 2/(-1 + x^2) + (-1 + x)/(1 + x)
Potencias
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2 -1 + x
-x + ------- + ------
2 1 + x
-1 + x
$$- x + \frac{x - 1}{x + 1} + \frac{2}{x^{2} - 1}$$
-x + 2/(-1 + x^2) + (-1 + x)/(1 + x)
Denominador común
[src]
-4 + 2*x
1 - x - --------
2
-1 + x
$$- x - \frac{2 x - 4}{x^{2} - 1} + 1$$
1 - x - (-4 + 2*x)/(-1 + x^2)
Unión de expresiones racionales
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/ 2\
2 + 2*x + \-1 + x /*(-1 + x - x*(1 + x))
----------------------------------------
/ 2\
(1 + x)*\-1 + x /
$$\frac{2 x + \left(x^{2} - 1\right) \left(- x \left(x + 1\right) + x - 1\right) + 2}{\left(x + 1\right) \left(x^{2} - 1\right)}$$
(2 + 2*x + (-1 + x^2)*(-1 + x - x*(1 + x)))/((1 + x)*(-1 + x^2))
Combinatoria
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/ 3 2\ -\-3 + x + x - x / -------------------- (1 + x)*(-1 + x)
$$- \frac{x^{3} - x^{2} + x - 3}{\left(x - 1\right) \left(x + 1\right)}$$
-(-3 + x + x^3 - x^2)/((1 + x)*(-1 + x))