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Simplificación de expresiones/
Descomposición en fracciones simples/
-36/(x^2-2*x-8)+(3*x)/(x+2)+(x+2)/(x-4)
¿Cómo vas a descomponer esta -36/(x^2-2*x-8)+(3*x)/(x+2)+(x+2)/(x-4) expresión en fracciones?
Solución
Ha introducido
[src]
36 3*x x + 2 - ------------ + ----- + ----- 2 x + 2 x - 4 x - 2*x - 8
$$\left(\frac{3 x}{x + 2} - \frac{36}{\left(x^{2} - 2 x\right) - 8}\right) + \frac{x + 2}{x - 4}$$
-36/(x^2 - 2*x - 8) + (3*x)/(x + 2) + (x + 2)/(x - 4)
Respuesta numérica
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-36.0/(-8.0 + x^2 - 2.0*x) + (2.0 + x)/(-4.0 + x) + 3.0*x/(2.0 + x)
-36.0/(-8.0 + x^2 - 2.0*x) + (2.0 + x)/(-4.0 + x) + 3.0*x/(2.0 + x)
Compilar la expresión
[src]
36 2 + x 3*x
- ------------- + ------ + -----
2 -4 + x 2 + x
-8 + x - 2*x
$$\frac{3 x}{x + 2} - \frac{36}{x^{2} - 2 x - 8} + \frac{x + 2}{x - 4}$$
-36/(-8 + x^2 - 2*x) + (2 + x)/(-4 + x) + 3*x/(2 + x)
Unión de expresiones racionales
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2
(2 + x) *(-8 + x*(-2 + x)) + 3*(-4 + x)*(-24 - 12*x + x*(-8 + x*(-2 + x)))
--------------------------------------------------------------------------
(-8 + x*(-2 + x))*(-4 + x)*(2 + x)
$$\frac{3 \left(x - 4\right) \left(x \left(x \left(x - 2\right) - 8\right) - 12 x - 24\right) + \left(x + 2\right)^{2} \left(x \left(x - 2\right) - 8\right)}{\left(x - 4\right) \left(x + 2\right) \left(x \left(x - 2\right) - 8\right)}$$
((2 + x)^2*(-8 + x*(-2 + x)) + 3*(-4 + x)*(-24 - 12*x + x*(-8 + x*(-2 + x))))/((-8 + x*(-2 + x))*(-4 + x)*(2 + x))
Potencias
[src]
36 2 + x 3*x
- ------------- + ------ + -----
2 -4 + x 2 + x
-8 + x - 2*x
$$\frac{3 x}{x + 2} - \frac{36}{x^{2} - 2 x - 8} + \frac{x + 2}{x - 4}$$
-36/(-8 + x^2 - 2*x) + (2 + x)/(-4 + x) + 3*x/(2 + x)
Denominador racional
[src]
2 / 2 \ / / 2 \\
(2 + x) *\-8 + x - 2*x/ + (-4 + x)*\-72 - 36*x + 3*x*\-8 + x - 2*x//
----------------------------------------------------------------------
/ 2 \
(-4 + x)*(2 + x)*\-8 + x - 2*x/
$$\frac{\left(x - 4\right) \left(3 x \left(x^{2} - 2 x - 8\right) - 36 x - 72\right) + \left(x + 2\right)^{2} \left(x^{2} - 2 x - 8\right)}{\left(x - 4\right) \left(x + 2\right) \left(x^{2} - 2 x - 8\right)}$$
((2 + x)^2*(-8 + x^2 - 2*x) + (-4 + x)*(-72 - 36*x + 3*x*(-8 + x^2 - 2*x)))/((-4 + x)*(2 + x)*(-8 + x^2 - 2*x))
Parte trigonométrica
[src]
36 2 + x 3*x
- ------------- + ------ + -----
2 -4 + x 2 + x
-8 + x - 2*x
$$\frac{3 x}{x + 2} - \frac{36}{x^{2} - 2 x - 8} + \frac{x + 2}{x - 4}$$
-36/(-8 + x^2 - 2*x) + (2 + x)/(-4 + x) + 3*x/(2 + x)