Sr Examen
¿Cómo vas a descomponer esta exp(x)/(x+2)-exp(x)/(x+2)^2 expresión en fracciones?
Solución
Ha introducido
[src]
x x
e e
----- - --------
x + 2 2
(x + 2)
$$- \frac{e^{x}}{\left(x + 2\right)^{2}} + \frac{e^{x}}{x + 2}$$
exp(x)/(x + 2) - exp(x)/(x + 2)^2
Simplificación general
[src]
x
(1 + x)*e
------------
2
4 + x + 4*x
$$\frac{\left(x + 1\right) e^{x}}{x^{2} + 4 x + 4}$$
(1 + x)*exp(x)/(4 + x^2 + 4*x)
Respuesta numérica
[src]
exp(x)/(2.0 + x) - 0.25*exp(x)/(1 + 0.5*x)^2
exp(x)/(2.0 + x) - 0.25*exp(x)/(1 + 0.5*x)^2
Potencias
[src]
x x
e e
----- - --------
2 + x 2
(2 + x)
$$\frac{e^{x}}{x + 2} - \frac{e^{x}}{\left(x + 2\right)^{2}}$$
exp(x)/(2 + x) - exp(x)/(2 + x)^2
Denominador común
[src]
x x
x*e + e
------------
2
4 + x + 4*x
$$\frac{x e^{x} + e^{x}}{x^{2} + 4 x + 4}$$
(x*exp(x) + exp(x))/(4 + x^2 + 4*x)
Denominador racional
[src]
2 x x
(2 + x) *e - (2 + x)*e
------------------------
3
(2 + x)
$$\frac{\left(x + 2\right)^{2} e^{x} - \left(x + 2\right) e^{x}}{\left(x + 2\right)^{3}}$$
((2 + x)^2*exp(x) - (2 + x)*exp(x))/(2 + x)^3
Compilar la expresión
[src]
x x
e e
----- - --------
2 + x 2
(2 + x)
$$\frac{e^{x}}{x + 2} - \frac{e^{x}}{\left(x + 2\right)^{2}}$$
exp(x)/(2 + x) - exp(x)/(2 + x)^2
Unión de expresiones racionales
[src]
x
(1 + x)*e
----------
2
(2 + x)
$$\frac{\left(x + 1\right) e^{x}}{\left(x + 2\right)^{2}}$$
(1 + x)*exp(x)/(2 + x)^2
Parte trigonométrica
[src]
x x
e e
----- - --------
2 + x 2
(2 + x)
$$\frac{e^{x}}{x + 2} - \frac{e^{x}}{\left(x + 2\right)^{2}}$$
x*cosh(x) + x*sinh(x) + cosh(x) + sinh(x)
-----------------------------------------
2
(2 + x)
$$\frac{x \sinh{\left(x \right)} + x \cosh{\left(x \right)} + \sinh{\left(x \right)} + \cosh{\left(x \right)}}{\left(x + 2\right)^{2}}$$
cosh(x) + sinh(x) cosh(x) + sinh(x)
----------------- - -----------------
2 + x 2
(2 + x)
$$\frac{\sinh{\left(x \right)} + \cosh{\left(x \right)}}{x + 2} - \frac{\sinh{\left(x \right)} + \cosh{\left(x \right)}}{\left(x + 2\right)^{2}}$$
(cosh(x) + sinh(x))/(2 + x) - (cosh(x) + sinh(x))/(2 + x)^2
Combinatoria
[src]
x
(1 + x)*e
----------
2
(2 + x)
$$\frac{\left(x + 1\right) e^{x}}{\left(x + 2\right)^{2}}$$
(1 + x)*exp(x)/(2 + x)^2