Descomposición de una fracción
[src]
(-1 + 2*x)^(-2) - 1/(1 + 2*x)^2
$$- \frac{1}{\left(2 x + 1\right)^{2}} + \frac{1}{\left(2 x - 1\right)^{2}}$$
1 1
----------- - ----------
2 2
(-1 + 2*x) (1 + 2*x)
Simplificación general
[src]
8*x
------------
2
/ 2\
\-1 + 4*x /
$$\frac{8 x}{\left(4 x^{2} - 1\right)^{2}}$$
-8.0*x/(1.0 - 4.0*x^2) + 0.5*x*(2.0 - 4.0*x^2)/(0.25 - x^2)^2
-8.0*x/(1.0 - 4.0*x^2) + 0.5*x*(2.0 - 4.0*x^2)/(0.25 - x^2)^2
Compilar la expresión
[src]
/ 2\
8*x 8*x*\2 - 4*x /
- -------- + --------------
2 2
1 - 4*x / 2\
\1 - 4*x /
$$- \frac{8 x}{1 - 4 x^{2}} + \frac{8 x \left(2 - 4 x^{2}\right)}{\left(1 - 4 x^{2}\right)^{2}}$$
-8*x/(1 - 4*x^2) + 8*x*(2 - 4*x^2)/(1 - 4*x^2)^2
/ 2\
8*x 8*x*\2 - 4*x /
- -------- + --------------
2 2
1 - 4*x / 2\
\1 - 4*x /
$$- \frac{8 x}{1 - 4 x^{2}} + \frac{8 x \left(2 - 4 x^{2}\right)}{\left(1 - 4 x^{2}\right)^{2}}$$
-8*x/(1 - 4*x^2) + 8*x*(2 - 4*x^2)/(1 - 4*x^2)^2
8*x
----------------------
2 2
(1 + 2*x) *(-1 + 2*x)
$$\frac{8 x}{\left(2 x - 1\right)^{2} \left(2 x + 1\right)^{2}}$$
8*x/((1 + 2*x)^2*(-1 + 2*x)^2)
Denominador racional
[src]
2
/ 2\ / 2\ / 2\
- 8*x*\1 - 4*x / + 8*x*\1 - 4*x /*\2 - 4*x /
---------------------------------------------
3
/ 2\
\1 - 4*x /
$$\frac{- 8 x \left(1 - 4 x^{2}\right)^{2} + 8 x \left(1 - 4 x^{2}\right) \left(2 - 4 x^{2}\right)}{\left(1 - 4 x^{2}\right)^{3}}$$
(-8*x*(1 - 4*x^2)^2 + 8*x*(1 - 4*x^2)*(2 - 4*x^2))/(1 - 4*x^2)^3
Parte trigonométrica
[src]
/ 2\
8*x 8*x*\2 - 4*x /
- -------- + --------------
2 2
1 - 4*x / 2\
\1 - 4*x /
$$- \frac{8 x}{1 - 4 x^{2}} + \frac{8 x \left(2 - 4 x^{2}\right)}{\left(1 - 4 x^{2}\right)^{2}}$$
-8*x/(1 - 4*x^2) + 8*x*(2 - 4*x^2)/(1 - 4*x^2)^2
8*x
----------------
2 4
1 - 8*x + 16*x
$$\frac{8 x}{16 x^{4} - 8 x^{2} + 1}$$
Unión de expresiones racionales
[src]
8*x
-----------
2
/ 2\
\1 - 4*x /
$$\frac{8 x}{\left(1 - 4 x^{2}\right)^{2}}$$