Sr Examen
¿Cómo vas a descomponer esta 2*(-1+4*x^2/(1+x^2))/(1+x^2)^2 expresión en fracciones?
Solución
Ha introducido
[src]
/ 2 \
| 4*x |
2*|-1 + ------|
| 2|
\ 1 + x /
---------------
2
/ 2\
\1 + x /
$$\frac{2 \left(\frac{4 x^{2}}{x^{2} + 1} - 1\right)}{\left(x^{2} + 1\right)^{2}}$$
(2*(-1 + (4*x^2)/(1 + x^2)))/(1 + x^2)^2
Descomposición de una fracción
[src]
-8/(1 + x^2)^3 + 6/(1 + x^2)^2
$$\frac{6}{\left(x^{2} + 1\right)^{2}} - \frac{8}{\left(x^{2} + 1\right)^{3}}$$
8 6
- --------- + ---------
3 2
/ 2\ / 2\
\1 + x / \1 + x /
Simplificación general
[src]
/ 2\
2*\-1 + 3*x /
-------------
3
/ 2\
\1 + x /
$$\frac{2 \left(3 x^{2} - 1\right)}{\left(x^{2} + 1\right)^{3}}$$
2*(-1 + 3*x^2)/(1 + x^2)^3
Respuesta numérica
[src]
(-2.0 + 8.0*x^2/(1.0 + x^2))/(1.0 + x^2)^2
(-2.0 + 8.0*x^2/(1.0 + x^2))/(1.0 + x^2)^2
Parte trigonométrica
[src]
2
8*x
-2 + ------
2
1 + x
-----------
2
/ 2\
\1 + x /
$$\frac{\frac{8 x^{2}}{x^{2} + 1} - 2}{\left(x^{2} + 1\right)^{2}}$$
(-2 + 8*x^2/(1 + x^2))/(1 + x^2)^2
Potencias
[src]
2
8*x
-2 + ------
2
1 + x
-----------
2
/ 2\
\1 + x /
$$\frac{\frac{8 x^{2}}{x^{2} + 1} - 2}{\left(x^{2} + 1\right)^{2}}$$
(-2 + 8*x^2/(1 + x^2))/(1 + x^2)^2
Denominador racional
[src]
2
-2 + 6*x
---------
3
/ 2\
\1 + x /
$$\frac{6 x^{2} - 2}{\left(x^{2} + 1\right)^{3}}$$
(-2 + 6*x^2)/(1 + x^2)^3
Denominador común
[src]
2
-2 + 6*x
--------------------
6 2 4
1 + x + 3*x + 3*x
$$\frac{6 x^{2} - 2}{x^{6} + 3 x^{4} + 3 x^{2} + 1}$$
(-2 + 6*x^2)/(1 + x^6 + 3*x^2 + 3*x^4)
Compilar la expresión
[src]
2
8*x
-2 + ------
2
1 + x
-----------
2
/ 2\
\1 + x /
$$\frac{\frac{8 x^{2}}{x^{2} + 1} - 2}{\left(x^{2} + 1\right)^{2}}$$
(-2 + 8*x^2/(1 + x^2))/(1 + x^2)^2
Combinatoria
[src]
/ 2\
2*\-1 + 3*x /
-------------
3
/ 2\
\1 + x /
$$\frac{2 \left(3 x^{2} - 1\right)}{\left(x^{2} + 1\right)^{3}}$$
2*(-1 + 3*x^2)/(1 + x^2)^3
Unión de expresiones racionales
[src]
/ 2\
2*\-1 + 3*x /
-------------
3
/ 2\
\1 + x /
$$\frac{2 \left(3 x^{2} - 1\right)}{\left(x^{2} + 1\right)^{3}}$$
2*(-1 + 3*x^2)/(1 + x^2)^3