Sr Examen
¿Cómo vas a descomponer esta x^2-9/(x-6)^2-27/(6-x)^2 expresión en fracciones?
Solución
Ha introducido
[src]
2 9 27
x - -------- - --------
2 2
(x - 6) (6 - x)
$$\left(x^{2} - \frac{9}{\left(x - 6\right)^{2}}\right) - \frac{27}{\left(6 - x\right)^{2}}$$
x^2 - 9/(x - 6)^2 - 27/(6 - x)^2
Simplificación general
[src]
2 36
x - ---------
2
(-6 + x)
$$x^{2} - \frac{36}{\left(x - 6\right)^{2}}$$
x^2 - 36/(-6 + x)^2
Descomposición de una fracción
[src]
x^2 - 36/(-6 + x)^2
$$x^{2} - \frac{36}{\left(x - 6\right)^{2}}$$
2 36
x - ---------
2
(-6 + x)
Respuesta numérica
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x^2 - 0.25/(-1 + 0.166666666666667*x)^2 - 0.75/(1 - 0.166666666666667*x)^2
x^2 - 0.25/(-1 + 0.166666666666667*x)^2 - 0.75/(1 - 0.166666666666667*x)^2
Compilar la expresión
[src]
2 27 9
x - -------- - ---------
2 2
(6 - x) (-6 + x)
$$x^{2} - \frac{9}{\left(x - 6\right)^{2}} - \frac{27}{\left(6 - x\right)^{2}}$$
x^2 - 27/(6 - x)^2 - 9/(-6 + x)^2
Parte trigonométrica
[src]
2 27 9
x - -------- - ---------
2 2
(6 - x) (-6 + x)
$$x^{2} - \frac{9}{\left(x - 6\right)^{2}} - \frac{27}{\left(6 - x\right)^{2}}$$
x^2 - 27/(6 - x)^2 - 9/(-6 + x)^2
Denominador común
[src]
2 36
x - --------------
2
36 + x - 12*x
$$x^{2} - \frac{36}{x^{2} - 12 x + 36}$$
x^2 - 36/(36 + x^2 - 12*x)
Unión de expresiones racionales
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2 2 / 2 2\
- 27*(-6 + x) + (6 - x) *\-9 + x *(-6 + x) /
---------------------------------------------
2 2
(-6 + x) *(6 - x)
$$\frac{\left(6 - x\right)^{2} \left(x^{2} \left(x - 6\right)^{2} - 9\right) - 27 \left(x - 6\right)^{2}}{\left(6 - x\right)^{2} \left(x - 6\right)^{2}}$$
(-27*(-6 + x)^2 + (6 - x)^2*(-9 + x^2*(-6 + x)^2))/((-6 + x)^2*(6 - x)^2)
Potencias
[src]
2 27 9
x - -------- - ---------
2 2
(6 - x) (-6 + x)
$$x^{2} - \frac{9}{\left(x - 6\right)^{2}} - \frac{27}{\left(6 - x\right)^{2}}$$
x^2 - 27/(6 - x)^2 - 9/(-6 + x)^2
Denominador racional
[src]
2 2 / 2 2\
- 27*(-6 + x) + (6 - x) *\-9 + x *(-6 + x) /
---------------------------------------------
2 2
(-6 + x) *(6 - x)
$$\frac{\left(6 - x\right)^{2} \left(x^{2} \left(x - 6\right)^{2} - 9\right) - 27 \left(x - 6\right)^{2}}{\left(6 - x\right)^{2} \left(x - 6\right)^{2}}$$
(-27*(-6 + x)^2 + (6 - x)^2*(-9 + x^2*(-6 + x)^2))/((-6 + x)^2*(6 - x)^2)
Combinatoria
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/ 2 \ / 2 \
\-6 + x - 6*x/*\6 + x - 6*x/
------------------------------
2
(-6 + x)
$$\frac{\left(x^{2} - 6 x - 6\right) \left(x^{2} - 6 x + 6\right)}{\left(x - 6\right)^{2}}$$
(-6 + x^2 - 6*x)*(6 + x^2 - 6*x)/(-6 + x)^2