Descomposición de una fracción
[src]
-5/(12*(2 + x)^2) - 1/(9*(2 + x)) + 1/(16*x) + 7/(144*(-4 + x))
$$- \frac{1}{9 \left(x + 2\right)} - \frac{5}{12 \left(x + 2\right)^{2}} + \frac{7}{144 \left(x - 4\right)} + \frac{1}{16 x}$$
5 1 1 7
- ----------- - --------- + ---- + ------------
2 9*(2 + x) 16*x 144*(-4 + x)
12*(2 + x)
Simplificación general
[src]
-1 + 2*x
-------------------
2
x*(-4 + x)*(2 + x)
$$\frac{2 x - 1}{x \left(x - 4\right) \left(x + 2\right)^{2}}$$
(-1 + 2*x)/(x*(-4 + x)*(2 + x)^2)
Abrimos la expresión
[src]
2*x - 1
------------------
2
x*(x - 4)*(x + 2)
$$\frac{2 x - 1}{x \left(x - 4\right) \left(x + 2\right)^{2}}$$
(2*x - 1)/(x*(x - 4)*(x + 2)^2)
Compilar la expresión
[src]
-1 + 2*x
-------------------
2
x*(-4 + x)*(2 + x)
$$\frac{2 x - 1}{x \left(x - 4\right) \left(x + 2\right)^{2}}$$
(-1 + 2*x)/(x*(-4 + x)*(2 + x)^2)
-1 + 2*x
-----------------
4 2
x - 16*x - 12*x
$$\frac{2 x - 1}{x^{4} - 12 x^{2} - 16 x}$$
(-1 + 2*x)/(x^4 - 16*x - 12*x^2)
-1 + 2*x
-------------------
2
x*(-4 + x)*(2 + x)
$$\frac{2 x - 1}{x \left(x - 4\right) \left(x + 2\right)^{2}}$$
(-1 + 2*x)/(x*(-4 + x)*(2 + x)^2)
-1 + 2*x
-------------------
2
x*(-4 + x)*(2 + x)
$$\frac{2 x - 1}{x \left(x - 4\right) \left(x + 2\right)^{2}}$$
(-1 + 2*x)/(x*(-4 + x)*(2 + x)^2)
Parte trigonométrica
[src]
-1 + 2*x
-------------------
2
x*(-4 + x)*(2 + x)
$$\frac{2 x - 1}{x \left(x - 4\right) \left(x + 2\right)^{2}}$$
(-1 + 2*x)/(x*(-4 + x)*(2 + x)^2)
Denominador racional
[src]
-1 + 2*x
-------------------
2
x*(-4 + x)*(2 + x)
$$\frac{2 x - 1}{x \left(x - 4\right) \left(x + 2\right)^{2}}$$
(-1 + 2*x)/(x*(-4 + x)*(2 + x)^2)
0.25*(-1.0 + 2.0*x)/(x*(1 + 0.5*x)^2*(-4.0 + x))
0.25*(-1.0 + 2.0*x)/(x*(1 + 0.5*x)^2*(-4.0 + x))
Unión de expresiones racionales
[src]
-1 + 2*x
-------------------
2
x*(-4 + x)*(2 + x)
$$\frac{2 x - 1}{x \left(x - 4\right) \left(x + 2\right)^{2}}$$
(-1 + 2*x)/(x*(-4 + x)*(2 + x)^2)