Sr Examen
¿Cómo vas a descomponer esta (x^3+3x^2+5x+7)/(x^2+2) expresión en fracciones?
Solución
Ha introducido
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3 2
x + 3*x + 5*x + 7
-------------------
2
x + 2
$$\frac{\left(5 x + \left(x^{3} + 3 x^{2}\right)\right) + 7}{x^{2} + 2}$$
(x^3 + 3*x^2 + 5*x + 7)/(x^2 + 2)
Descomposición de una fracción
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3 + x + (1 + 3*x)/(2 + x^2)
$$x + \frac{3 x + 1}{x^{2} + 2} + 3$$
1 + 3*x
3 + x + -------
2
2 + x
Simplificación general
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3 2
7 + x + 3*x + 5*x
-------------------
2
2 + x
$$\frac{x^{3} + 3 x^{2} + 5 x + 7}{x^{2} + 2}$$
(7 + x^3 + 3*x^2 + 5*x)/(2 + x^2)
Respuesta numérica
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(7.0 + x^3 + 3.0*x^2 + 5.0*x)/(2.0 + x^2)
(7.0 + x^3 + 3.0*x^2 + 5.0*x)/(2.0 + x^2)
Compilar la expresión
[src]
3 2
7 + x + 3*x + 5*x
-------------------
2
2 + x
$$\frac{x^{3} + 3 x^{2} + 5 x + 7}{x^{2} + 2}$$
(7 + x^3 + 3*x^2 + 5*x)/(2 + x^2)
Parte trigonométrica
[src]
3 2
7 + x + 3*x + 5*x
-------------------
2
2 + x
$$\frac{x^{3} + 3 x^{2} + 5 x + 7}{x^{2} + 2}$$
(7 + x^3 + 3*x^2 + 5*x)/(2 + x^2)
Potencias
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3 2
7 + x + 3*x + 5*x
-------------------
2
2 + x
$$\frac{x^{3} + 3 x^{2} + 5 x + 7}{x^{2} + 2}$$
(7 + x^3 + 3*x^2 + 5*x)/(2 + x^2)
Unión de expresiones racionales
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7 + x*(5 + x*(3 + x))
---------------------
2
2 + x
$$\frac{x \left(x \left(x + 3\right) + 5\right) + 7}{x^{2} + 2}$$
(7 + x*(5 + x*(3 + x)))/(2 + x^2)
Denominador racional
[src]
3 2
7 + x + 3*x + 5*x
-------------------
2
2 + x
$$\frac{x^{3} + 3 x^{2} + 5 x + 7}{x^{2} + 2}$$
(7 + x^3 + 3*x^2 + 5*x)/(2 + x^2)
Combinatoria
[src]
3 2
7 + x + 3*x + 5*x
-------------------
2
2 + x
$$\frac{x^{3} + 3 x^{2} + 5 x + 7}{x^{2} + 2}$$
(7 + x^3 + 3*x^2 + 5*x)/(2 + x^2)
Denominador común
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1 + 3*x
3 + x + -------
2
2 + x
$$x + \frac{3 x + 1}{x^{2} + 2} + 3$$
3 + x + (1 + 3*x)/(2 + x^2)