Sr Examen
¿Cómo vas a descomponer esta (z-3)/(z+3)*(z+(z^2)/(3-z)) expresión en fracciones?
Solución
Ha introducido
[src]
/ 2 \ z - 3 | z | -----*|z + -----| z + 3 \ 3 - z/
$$\frac{z - 3}{z + 3} \left(\frac{z^{2}}{3 - z} + z\right)$$
((z - 3)/(z + 3))*(z + z^2/(3 - z))
Parte trigonométrica
[src]
/ 2 \
| z |
(-3 + z)*|z + -----|
\ 3 - z/
--------------------
3 + z
$$\frac{\left(z - 3\right) \left(\frac{z^{2}}{3 - z} + z\right)}{z + 3}$$
(-3 + z)*(z + z^2/(3 - z))/(3 + z)
Compilar la expresión
[src]
/ 2 \
| z |
(-3 + z)*|z + -----|
\ 3 - z/
--------------------
3 + z
$$\frac{\left(z - 3\right) \left(\frac{z^{2}}{3 - z} + z\right)}{z + 3}$$
(-3 + z)*(z + z^2/(3 - z))/(3 + z)
Potencias
[src]
/ 2 \
| z |
(-3 + z)*|z + -----|
\ 3 - z/
--------------------
3 + z
$$\frac{\left(z - 3\right) \left(\frac{z^{2}}{3 - z} + z\right)}{z + 3}$$
(-3 + z)*(z + z^2/(3 - z))/(3 + z)
Denominador racional
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/ 2 \
(-3 + z)*\z + z*(3 - z)/
-------------------------
(3 + z)*(3 - z)
$$\frac{\left(z - 3\right) \left(z^{2} + z \left(3 - z\right)\right)}{\left(3 - z\right) \left(z + 3\right)}$$
(-3 + z)*(z^2 + z*(3 - z))/((3 + z)*(3 - z))
Respuesta numérica
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(-3.0 + z)*(z + z^2/(3.0 - z))/(3.0 + z)
(-3.0 + z)*(z + z^2/(3.0 - z))/(3.0 + z)
Unión de expresiones racionales
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3*z*(-3 + z) --------------- (3 + z)*(3 - z)
$$\frac{3 z \left(z - 3\right)}{\left(3 - z\right) \left(z + 3\right)}$$
3*z*(-3 + z)/((3 + z)*(3 - z))