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