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