Descomposición de una fracción
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$$\frac{1}{z} + \frac{3}{z^{2}}$$
Simplificación general
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$$\frac{z + 3}{z^{2}}$$
Parte trigonométrica
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/ 2\
(-1 + z)*\-9 + z /
-------------------
/ 2 \ / 2 \
\z - z/*\z - 3*z/
$$\frac{\left(z - 1\right) \left(z^{2} - 9\right)}{\left(z^{2} - 3 z\right) \left(z^{2} - z\right)}$$
(-1 + z)*(-9 + z^2)/((z^2 - z)*(z^2 - 3*z))
/ 2\
(-1 + z)*\-9 + z /
-------------------
/ 2 \ / 2 \
\z - z/*\z - 3*z/
$$\frac{\left(z - 1\right) \left(z^{2} - 9\right)}{\left(z^{2} - 3 z\right) \left(z^{2} - z\right)}$$
(-1 + z)*(-9 + z^2)/((z^2 - z)*(z^2 - 3*z))
Compilar la expresión
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/ 2\
(-1 + z)*\-9 + z /
-------------------
/ 2 \ / 2 \
\z - z/*\z - 3*z/
$$\frac{\left(z - 1\right) \left(z^{2} - 9\right)}{\left(z^{2} - 3 z\right) \left(z^{2} - z\right)}$$
(-1 + z)*(-9 + z^2)/((z^2 - z)*(z^2 - 3*z))
Abrimos la expresión
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/ 2 \
(z - 1)*\z - 9/
-------------------
/ 2 \ / 2 \
\z - z/*\z - 3*z/
$$\frac{\left(z - 1\right) \left(z^{2} - 9\right)}{\left(z^{2} - 3 z\right) \left(z^{2} - z\right)}$$
(z - 1)*(z^2 - 9)/((z^2 - z)*(z^2 - 3*z))
Denominador racional
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/ 2\
(-1 + z)*\-9 + z /
-------------------
/ 2 \ / 2 \
\z - z/*\z - 3*z/
$$\frac{\left(z - 1\right) \left(z^{2} - 9\right)}{\left(z^{2} - 3 z\right) \left(z^{2} - z\right)}$$
(-1 + z)*(-9 + z^2)/((z^2 - z)*(z^2 - 3*z))
Unión de expresiones racionales
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2
-9 + z
-----------
2
z *(-3 + z)
$$\frac{z^{2} - 9}{z^{2} \left(z - 3\right)}$$
(-9 + z^2)/(z^2*(-3 + z))
(-1.0 + z)*(-9.0 + z^2)/((z^2 - z)*(z^2 - 3.0*z))
(-1.0 + z)*(-9.0 + z^2)/((z^2 - z)*(z^2 - 3.0*z))