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¿Cómo vas a descomponer esta log(9+x^2-6*x)/2-1/(3-x) expresión en fracciones?

Expresión a simplificar:

Solución

Ha introducido [src]
   /     2      \        
log\9 + x  - 6*x/     1  
----------------- - -----
        2           3 - x
$$\frac{\log{\left(- 6 x + \left(x^{2} + 9\right) \right)}}{2} - \frac{1}{3 - x}$$
log(9 + x^2 - 6*x)/2 - 1/(3 - x)
Simplificación general [src]
                /     2      \
2 + (-3 + x)*log\9 + x  - 6*x/
------------------------------
          2*(-3 + x)          
$$\frac{\left(x - 3\right) \log{\left(x^{2} - 6 x + 9 \right)} + 2}{2 \left(x - 3\right)}$$
(2 + (-3 + x)*log(9 + x^2 - 6*x))/(2*(-3 + x))
Unión de expresiones racionales [src]
                /     2      \
-2 + (3 - x)*log\9 + x  - 6*x/
------------------------------
          2*(3 - x)           
$$\frac{\left(3 - x\right) \log{\left(x^{2} - 6 x + 9 \right)} - 2}{2 \left(3 - x\right)}$$
(-2 + (3 - x)*log(9 + x^2 - 6*x))/(2*(3 - x))
Potencias [src]
   /     2      \        
log\9 + x  - 6*x/     1  
----------------- - -----
        2           3 - x
$$\frac{\log{\left(x^{2} - 6 x + 9 \right)}}{2} - \frac{1}{3 - x}$$
log(9 + x^2 - 6*x)/2 - 1/(3 - x)
Parte trigonométrica [src]
   /     2      \        
log\9 + x  - 6*x/     1  
----------------- - -----
        2           3 - x
$$\frac{\log{\left(x^{2} - 6 x + 9 \right)}}{2} - \frac{1}{3 - x}$$
log(9 + x^2 - 6*x)/2 - 1/(3 - x)
Respuesta numérica [src]
-1/(3.0 - x) + 0.5*log(9 + x^2 - 6*x)
-1/(3.0 - x) + 0.5*log(9 + x^2 - 6*x)
Combinatoria [src]
         /     2      \        /     2      \
2 - 3*log\9 + x  - 6*x/ + x*log\9 + x  - 6*x/
---------------------------------------------
                  2*(-3 + x)                 
$$\frac{x \log{\left(x^{2} - 6 x + 9 \right)} - 3 \log{\left(x^{2} - 6 x + 9 \right)} + 2}{2 \left(x - 3\right)}$$
(2 - 3*log(9 + x^2 - 6*x) + x*log(9 + x^2 - 6*x))/(2*(-3 + x))
Denominador común [src]
            /     2      \
  1      log\9 + x  - 6*x/
------ + -----------------
-3 + x           2        
$$\frac{\log{\left(x^{2} - 6 x + 9 \right)}}{2} + \frac{1}{x - 3}$$
1/(-3 + x) + log(9 + x^2 - 6*x)/2
Denominador racional [src]
         /     2      \        /     2      \
2 - 3*log\9 + x  - 6*x/ + x*log\9 + x  - 6*x/
---------------------------------------------
                   -6 + 2*x                  
$$\frac{x \log{\left(x^{2} - 6 x + 9 \right)} - 3 \log{\left(x^{2} - 6 x + 9 \right)} + 2}{2 x - 6}$$
(2 - 3*log(9 + x^2 - 6*x) + x*log(9 + x^2 - 6*x))/(-6 + 2*x)