Simplificación general
[src]
2
1 3 z z
- -- + z - - + --
40 4 10
$$z^{3} + \frac{z^{2}}{10} - \frac{z}{4} - \frac{1}{40}$$
-1/40 + z^3 - z/4 + z^2/10
Descomposición de una fracción
[src]
-1/40 + z^3 - z/4 + z^2/10
$$z^{3} + \frac{z^{2}}{10} - \frac{z}{4} - \frac{1}{40}$$
2
1 3 z z
- -- + z - - + --
40 4 10
(x + 1/2)*(x + 1/10)*(x - 1/2)
$$\left(x + \frac{1}{10}\right) \left(x + \frac{1}{2}\right) \left(x - \frac{1}{2}\right)$$
((x + 1/2)*(x + 1/10))*(x - 1/2)
Parte trigonométrica
[src]
2
1 3 z z
- -- + z - - + --
40 4 10
$$z^{3} + \frac{z^{2}}{10} - \frac{z}{4} - \frac{1}{40}$$
-1/40 + z^3 - z/4 + z^2/10
2
1 3 z z
- -- + z - - + --
40 4 10
$$z^{3} + \frac{z^{2}}{10} - \frac{z}{4} - \frac{1}{40}$$
-1/40 + z^3 - z/4 + z^2/10
Denominador racional
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2 3
-40 - 400*z + 160*z + 1600*z
------------------------------
1600
$$\frac{1600 z^{3} + 160 z^{2} - 400 z - 40}{1600}$$
(-40 - 400*z + 160*z^2 + 1600*z^3)/1600
Compilar la expresión
[src]
2
1 3 z z
- -- + z - - + --
40 4 10
$$z^{3} + \frac{z^{2}}{10} - \frac{z}{4} - \frac{1}{40}$$
-1/40 + z^3 - z/4 + z^2/10
2
1 3 z z
- -- + z - - + --
40 4 10
$$z^{3} + \frac{z^{2}}{10} - \frac{z}{4} - \frac{1}{40}$$
-1/40 + z^3 - z/4 + z^2/10
-0.025 + z^3 + 0.1*z^2 - 0.25*z
-0.025 + z^3 + 0.1*z^2 - 0.25*z
(1 + 2*z)*(1 + 10*z)*(-1 + 2*z)
-------------------------------
40
$$\frac{\left(2 z - 1\right) \left(2 z + 1\right) \left(10 z + 1\right)}{40}$$
(1 + 2*z)*(1 + 10*z)*(-1 + 2*z)/40
Unión de expresiones racionales
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-1 + 2*z*(-5 + 2*z*(1 + 10*z))
------------------------------
40
$$\frac{2 z \left(2 z \left(10 z + 1\right) - 5\right) - 1}{40}$$
(-1 + 2*z*(-5 + 2*z*(1 + 10*z)))/40