Denominador racional
[src]
4 z 3 z
(-1 + z) *e - 3*(-1 + z) *e
-----------------------------
7
(-1 + z)
$$\frac{\left(z - 1\right)^{4} e^{z} - 3 \left(z - 1\right)^{3} e^{z}}{\left(z - 1\right)^{7}}$$
((-1 + z)^4*exp(z) - 3*(-1 + z)^3*exp(z))/(-1 + z)^7
Compilar la expresión
[src]
z z
e 3*e
--------- - ---------
3 4
(-1 + z) (-1 + z)
$$\frac{e^{z}}{\left(z - 1\right)^{3}} - \frac{3 e^{z}}{\left(z - 1\right)^{4}}$$
exp(z)/(-1 + z)^3 - 3*exp(z)/(-1 + z)^4
Unión de expresiones racionales
[src]
z
(-4 + z)*e
-----------
4
(-1 + z)
$$\frac{\left(z - 4\right) e^{z}}{\left(z - 1\right)^{4}}$$
(-4 + z)*exp(z)/(-1 + z)^4
z z
e 3*e
--------- - ---------
3 4
(-1 + z) (-1 + z)
$$\frac{e^{z}}{\left(z - 1\right)^{3}} - \frac{3 e^{z}}{\left(z - 1\right)^{4}}$$
exp(z)/(-1 + z)^3 - 3*exp(z)/(-1 + z)^4
Parte trigonométrica
[src]
cosh(z) + sinh(z) 3*cosh(z) + 3*sinh(z)
----------------- - ---------------------
3 4
(-1 + z) (-1 + z)
$$\frac{\sinh{\left(z \right)} + \cosh{\left(z \right)}}{\left(z - 1\right)^{3}} - \frac{3 \sinh{\left(z \right)} + 3 \cosh{\left(z \right)}}{\left(z - 1\right)^{4}}$$
-4*cosh(z) - 4*sinh(z) + z*cosh(z) + z*sinh(z)
----------------------------------------------
4
(-1 + z)
$$\frac{z \sinh{\left(z \right)} + z \cosh{\left(z \right)} - 4 \sinh{\left(z \right)} - 4 \cosh{\left(z \right)}}{\left(z - 1\right)^{4}}$$
z z
e 3*e
--------- - ---------
3 4
(-1 + z) (-1 + z)
$$\frac{e^{z}}{\left(z - 1\right)^{3}} - \frac{3 e^{z}}{\left(z - 1\right)^{4}}$$
cosh(z) + sinh(z) 3*(cosh(z) + sinh(z))
----------------- - ---------------------
3 4
(-1 + z) (-1 + z)
$$\frac{\sinh{\left(z \right)} + \cosh{\left(z \right)}}{\left(z - 1\right)^{3}} - \frac{3 \left(\sinh{\left(z \right)} + \cosh{\left(z \right)}\right)}{\left(z - 1\right)^{4}}$$
(cosh(z) + sinh(z))/(-1 + z)^3 - 3*(cosh(z) + sinh(z))/(-1 + z)^4
z z
- 4*e + z*e
--------------------------
4 3 2
1 + z - 4*z - 4*z + 6*z
$$\frac{z e^{z} - 4 e^{z}}{z^{4} - 4 z^{3} + 6 z^{2} - 4 z + 1}$$
(-4*exp(z) + z*exp(z))/(1 + z^4 - 4*z - 4*z^3 + 6*z^2)