Sr Examen
¿Cómo vas a descomponer esta (5x^3+2)/(x^3-5x^2+4x) expresión en fracciones?
Solución
Ha introducido
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3
5*x + 2
---------------
3 2
x - 5*x + 4*x
$$\frac{5 x^{3} + 2}{4 x + \left(x^{3} - 5 x^{2}\right)}$$
(5*x^3 + 2)/(x^3 - 5*x^2 + 4*x)
Descomposición de una fracción
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5 + 1/(2*x) - 7/(3*(-1 + x)) + 161/(6*(-4 + x))
$$5 - \frac{7}{3 \left(x - 1\right)} + \frac{161}{6 \left(x - 4\right)} + \frac{1}{2 x}$$
1 7 161
5 + --- - ---------- + ----------
2*x 3*(-1 + x) 6*(-4 + x)
Simplificación general
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3
2 + 5*x
----------------
/ 2 \
x*\4 + x - 5*x/
$$\frac{5 x^{3} + 2}{x \left(x^{2} - 5 x + 4\right)}$$
(2 + 5*x^3)/(x*(4 + x^2 - 5*x))
Respuesta numérica
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(2.0 + 5.0*x^3)/(x^3 + 4.0*x - 5.0*x^2)
(2.0 + 5.0*x^3)/(x^3 + 4.0*x - 5.0*x^2)
Parte trigonométrica
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3
2 + 5*x
---------------
3 2
x - 5*x + 4*x
$$\frac{5 x^{3} + 2}{x^{3} - 5 x^{2} + 4 x}$$
(2 + 5*x^3)/(x^3 - 5*x^2 + 4*x)
Combinatoria
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3
2 + 5*x
-------------------
x*(-1 + x)*(-4 + x)
$$\frac{5 x^{3} + 2}{x \left(x - 4\right) \left(x - 1\right)}$$
(2 + 5*x^3)/(x*(-1 + x)*(-4 + x))
Compilar la expresión
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3
2 + 5*x
---------------
3 2
x - 5*x + 4*x
$$\frac{5 x^{3} + 2}{x^{3} - 5 x^{2} + 4 x}$$
(2 + 5*x^3)/(x^3 - 5*x^2 + 4*x)
Unión de expresiones racionales
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3
2 + 5*x
------------------
x*(4 + x*(-5 + x))
$$\frac{5 x^{3} + 2}{x \left(x \left(x - 5\right) + 4\right)}$$
(2 + 5*x^3)/(x*(4 + x*(-5 + x)))
Potencias
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3
2 + 5*x
---------------
3 2
x - 5*x + 4*x
$$\frac{5 x^{3} + 2}{x^{3} - 5 x^{2} + 4 x}$$
(2 + 5*x^3)/(x^3 - 5*x^2 + 4*x)
Denominador racional
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3
2 + 5*x
---------------
3 2
x - 5*x + 4*x
$$\frac{5 x^{3} + 2}{x^{3} - 5 x^{2} + 4 x}$$
(2 + 5*x^3)/(x^3 - 5*x^2 + 4*x)
Denominador común
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2
2 - 20*x + 25*x
5 + ----------------
3 2
x - 5*x + 4*x
$$\frac{25 x^{2} - 20 x + 2}{x^{3} - 5 x^{2} + 4 x} + 5$$
5 + (2 - 20*x + 25*x^2)/(x^3 - 5*x^2 + 4*x)