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Simplificación de expresiones/
Descomposición en fracciones simples/
((x-3)/(x^3-64)+(x-3)/(x^2+4*x+16))*(2*x^3-128)/(3-x)
¿Cómo vas a descomponer esta ((x-3)/(x^3-64)+(x-3)/(x^2+4*x+16))*(2*x^3-128)/(3-x) expresión en fracciones?
Solución
Ha introducido
[src]
/ x - 3 x - 3 \ / 3 \
|------- + -------------|*\2*x - 128/
| 3 2 |
\x - 64 x + 4*x + 16/
--------------------------------------
3 - x
$$\frac{\left(2 x^{3} - 128\right) \left(\frac{x - 3}{\left(x^{2} + 4 x\right) + 16} + \frac{x - 3}{x^{3} - 64}\right)}{3 - x}$$
(((x - 3)/(x^3 - 64) + (x - 3)/(x^2 + 4*x + 16))*(2*x^3 - 128))/(3 - x)
Potencias
[src]
/ 3\ / -3 + x -3 + x \
\-128 + 2*x /*|-------- + -------------|
| 3 2 |
\-64 + x 16 + x + 4*x/
----------------------------------------
3 - x
$$\frac{\left(2 x^{3} - 128\right) \left(\frac{x - 3}{x^{2} + 4 x + 16} + \frac{x - 3}{x^{3} - 64}\right)}{3 - x}$$
(-128 + 2*x^3)*((-3 + x)/(-64 + x^3) + (-3 + x)/(16 + x^2 + 4*x))/(3 - x)
Unión de expresiones racionales
[src]
/ 3 \
2*(-3 + x)*\-48 + x + x*(4 + x)/
---------------------------------
(3 - x)*(16 + x*(4 + x))
$$\frac{2 \left(x - 3\right) \left(x^{3} + x \left(x + 4\right) - 48\right)}{\left(3 - x\right) \left(x \left(x + 4\right) + 16\right)}$$
2*(-3 + x)*(-48 + x^3 + x*(4 + x))/((3 - x)*(16 + x*(4 + x)))
Compilar la expresión
[src]
/ 3\ / -3 + x -3 + x \
\-128 + 2*x /*|-------- + -------------|
| 3 2 |
\-64 + x 16 + x + 4*x/
----------------------------------------
3 - x
$$\frac{\left(2 x^{3} - 128\right) \left(\frac{x - 3}{x^{2} + 4 x + 16} + \frac{x - 3}{x^{3} - 64}\right)}{3 - x}$$
(-128 + 2*x^3)*((-3 + x)/(-64 + x^3) + (-3 + x)/(16 + x^2 + 4*x))/(3 - x)
Respuesta numérica
[src]
(-128.0 + 2.0*x^3)*((-3.0 + x)/(-64.0 + x^3) + (-3.0 + x)/(16.0 + x^2 + 4.0*x))/(3.0 - x)
(-128.0 + 2.0*x^3)*((-3.0 + x)/(-64.0 + x^3) + (-3.0 + x)/(16.0 + x^2 + 4.0*x))/(3.0 - x)
Denominador racional
[src]
/ 3\ // 3\ / 2 \\
\-128 + 2*x /*\\-64 + x /*(-3 + x) + (-3 + x)*\16 + x + 4*x//
--------------------------------------------------------------
/ 3\ / 2 \
\-64 + x /*(3 - x)*\16 + x + 4*x/
$$\frac{\left(2 x^{3} - 128\right) \left(\left(x - 3\right) \left(x^{3} - 64\right) + \left(x - 3\right) \left(x^{2} + 4 x + 16\right)\right)}{\left(3 - x\right) \left(x^{3} - 64\right) \left(x^{2} + 4 x + 16\right)}$$
(-128 + 2*x^3)*((-64 + x^3)*(-3 + x) + (-3 + x)*(16 + x^2 + 4*x))/((-64 + x^3)*(3 - x)*(16 + x^2 + 4*x))
Parte trigonométrica
[src]
/ 3\ / -3 + x -3 + x \
\-128 + 2*x /*|-------- + -------------|
| 3 2 |
\-64 + x 16 + x + 4*x/
----------------------------------------
3 - x
$$\frac{\left(2 x^{3} - 128\right) \left(\frac{x - 3}{x^{2} + 4 x + 16} + \frac{x - 3}{x^{3} - 64}\right)}{3 - x}$$
(-128 + 2*x^3)*((-3 + x)/(-64 + x^3) + (-3 + x)/(16 + x^2 + 4*x))/(3 - x)