Sr Examen
¿Cómo vas a descomponer esta (2x^2-5x+1)/(x^3-2x^2+x) expresión en fracciones?
Solución
Ha introducido
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2 2*x - 5*x + 1 -------------- 3 2 x - 2*x + x
$$\frac{\left(2 x^{2} - 5 x\right) + 1}{x + \left(x^{3} - 2 x^{2}\right)}$$
(2*x^2 - 5*x + 1)/(x^3 - 2*x^2 + x)
Simplificación general
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2 1 - 5*x + 2*x ---------------- / 2 \ x*\1 + x - 2*x/
$$\frac{2 x^{2} - 5 x + 1}{x \left(x^{2} - 2 x + 1\right)}$$
(1 - 5*x + 2*x^2)/(x*(1 + x^2 - 2*x))
Descomposición de una fracción
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1/x + 1/(-1 + x) - 2/(-1 + x)^2
$$\frac{1}{x - 1} - \frac{2}{\left(x - 1\right)^{2}} + \frac{1}{x}$$
1 1 2
- + ------ - ---------
x -1 + x 2
(-1 + x)
Respuesta numérica
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(1.0 + 2.0*x^2 - 5.0*x)/(x + x^3 - 2.0*x^2)
(1.0 + 2.0*x^2 - 5.0*x)/(x + x^3 - 2.0*x^2)
Parte trigonométrica
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2
1 - 5*x + 2*x
--------------
3 2
x + x - 2*x
$$\frac{2 x^{2} - 5 x + 1}{x^{3} - 2 x^{2} + x}$$
(1 - 5*x + 2*x^2)/(x + x^3 - 2*x^2)
Denominador común
[src]
2
1 - 5*x + 2*x
--------------
3 2
x + x - 2*x
$$\frac{2 x^{2} - 5 x + 1}{x^{3} - 2 x^{2} + x}$$
(1 - 5*x + 2*x^2)/(x + x^3 - 2*x^2)
Potencias
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2
1 - 5*x + 2*x
--------------
3 2
x + x - 2*x
$$\frac{2 x^{2} - 5 x + 1}{x^{3} - 2 x^{2} + x}$$
(1 - 5*x + 2*x^2)/(x + x^3 - 2*x^2)
Unión de expresiones racionales
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1 + x*(-5 + 2*x) ------------------ x*(1 + x*(-2 + x))
$$\frac{x \left(2 x - 5\right) + 1}{x \left(x \left(x - 2\right) + 1\right)}$$
(1 + x*(-5 + 2*x))/(x*(1 + x*(-2 + x)))
Denominador racional
[src]
2
1 - 5*x + 2*x
--------------
3 2
x + x - 2*x
$$\frac{2 x^{2} - 5 x + 1}{x^{3} - 2 x^{2} + x}$$
(1 - 5*x + 2*x^2)/(x + x^3 - 2*x^2)
Compilar la expresión
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2
1 - 5*x + 2*x
--------------
3 2
x + x - 2*x
$$\frac{2 x^{2} - 5 x + 1}{x^{3} - 2 x^{2} + x}$$
(1 - 5*x + 2*x^2)/(x + x^3 - 2*x^2)
Combinatoria
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2
1 - 5*x + 2*x
--------------
2
x*(-1 + x)
$$\frac{2 x^{2} - 5 x + 1}{x \left(x - 1\right)^{2}}$$
(1 - 5*x + 2*x^2)/(x*(-1 + x)^2)