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Simplificación de expresiones/
Descomposición en fracciones simples/
acot(2)^5*(-3+2*x/(-4+x))/(-4+x)^2
¿Cómo vas a descomponer esta acot(2)^5*(-3+2*x/(-4+x))/(-4+x)^2 expresión en fracciones?
Solución
Ha introducido
[src]
5 / 2*x \
acot (2)*|-3 + ------|
\ -4 + x/
----------------------
2
(-4 + x)
$$\frac{\left(\frac{2 x}{x - 4} - 3\right) \operatorname{acot}^{5}{\left(2 \right)}}{\left(x - 4\right)^{2}}$$
(acot(2)^5*(-3 + (2*x)/(-4 + x)))/(-4 + x)^2
Simplificación general
[src]
5
acot (2)*(12 - x)
-----------------
3
(-4 + x)
$$\frac{\left(12 - x\right) \operatorname{acot}^{5}{\left(2 \right)}}{\left(x - 4\right)^{3}}$$
acot(2)^5*(12 - x)/(-4 + x)^3
Respuesta numérica
[src]
0.0625*(-0.0642778552376686 + 0.0428519034917791*x/(-4.0 + x))/(-1 + 0.25*x)^2
0.0625*(-0.0642778552376686 + 0.0428519034917791*x/(-4.0 + x))/(-1 + 0.25*x)^2
Denominador común
[src]
/ 5 5 \
-\- 12*acot (2) + x*acot (2)/
------------------------------
3 2
-64 + x - 12*x + 48*x
$$- \frac{x \operatorname{acot}^{5}{\left(2 \right)} - 12 \operatorname{acot}^{5}{\left(2 \right)}}{x^{3} - 12 x^{2} + 48 x - 64}$$
-(-12*acot(2)^5 + x*acot(2)^5)/(-64 + x^3 - 12*x^2 + 48*x)
Unión de expresiones racionales
[src]
5
acot (2)*(12 - x)
-----------------
3
(-4 + x)
$$\frac{\left(12 - x\right) \operatorname{acot}^{5}{\left(2 \right)}}{\left(x - 4\right)^{3}}$$
acot(2)^5*(12 - x)/(-4 + x)^3
Combinatoria
[src]
5
-acot (2)*(-12 + x)
--------------------
3
(-4 + x)
$$- \frac{\left(x - 12\right) \operatorname{acot}^{5}{\left(2 \right)}}{\left(x - 4\right)^{3}}$$
-acot(2)^5*(-12 + x)/(-4 + x)^3
Denominador racional
[src]
5
acot (2)*(12 - x)
-----------------
3
(-4 + x)
$$\frac{\left(12 - x\right) \operatorname{acot}^{5}{\left(2 \right)}}{\left(x - 4\right)^{3}}$$
acot(2)^5*(12 - x)/(-4 + x)^3