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(y-3)/(y^2-9)-(x-3)/(9-y^2)
(5x^2+9x-2)/(x^2-5x-14)
y/(x-y)-(x^3-x*y^2)/(x^2+y^2)
45^(n+4)/(3^(2*n+7)*5^(n+3))
Factorizar el polinomio:
y^2+x*y+x^2+2*x+2*y
y^3-3*y^2+3*y-2
y^2-2*y*7+7^2
y^2-y+x^2-x
Descomponer al cuadrado:
y^4+5*y^2+7
-y^4+5*y^2+12
y^4+5*y^2-4
-y^4+6*y^2+2
Expresiones idénticas
sqrt((x1-y1*((x1*y1-x dos *y dos)/(y1^ dos +y dos ^ dos))^ dos)+(x2-y2*((x1*y1-x2*y2)/(y1^2+y2^2)))^2)
raíz cuadrada de ((x1 menos y1 multiplicar por ((x1 multiplicar por y1 menos x2 multiplicar por y2) dividir por (y1 al cuadrado más y2 al cuadrado )) al cuadrado ) más (x2 menos y2 multiplicar por ((x1 multiplicar por y1 menos x2 multiplicar por y2) dividir por (y1 al cuadrado más y2 al cuadrado ))) al cuadrado )
raíz cuadrada de ((x1 menos y1 multiplicar por ((x1 multiplicar por y1 menos x dos multiplicar por y dos) dividir por (y1 en el grado dos más y dos en el grado dos)) en el grado dos) más (x2 menos y2 multiplicar por ((x1 multiplicar por y1 menos x2 multiplicar por y2) dividir por (y1 al cuadrado más y2 al cuadrado ))) al cuadrado )
√((x1-y1*((x1*y1-x2*y2)/(y1^2+y2^2))^2)+(x2-y2*((x1*y1-x2*y2)/(y1^2+y2^2)))^2)
sqrt((x1-y1*((x1*y1-x2*y2)/(y12+y22))2)+(x2-y2*((x1*y1-x2*y2)/(y12+y22)))2)
sqrtx1-y1*x1*y1-x2*y2/y12+y222+x2-y2*x1*y1-x2*y2/y12+y222
sqrt((x1-y1*((x1*y1-x2*y2)/(y1²+y2²))²)+(x2-y2*((x1*y1-x2*y2)/(y1²+y2²)))²)
sqrt((x1-y1*((x1*y1-x2*y2)/(y1 en el grado 2+y2 en el grado 2)) en el grado 2)+(x2-y2*((x1*y1-x2*y2)/(y1 en el grado 2+y2 en el grado 2))) en el grado 2)
sqrt((x1-y1((x1y1-x2y2)/(y1^2+y2^2))^2)+(x2-y2((x1y1-x2y2)/(y1^2+y2^2)))^2)
sqrt((x1-y1((x1y1-x2y2)/(y12+y22))2)+(x2-y2((x1y1-x2y2)/(y12+y22)))2)
sqrtx1-y1x1y1-x2y2/y12+y222+x2-y2x1y1-x2y2/y12+y222
sqrtx1-y1x1y1-x2y2/y1^2+y2^2^2+x2-y2x1y1-x2y2/y1^2+y2^2^2
sqrt((x1-y1*((x1*y1-x2*y2) dividir por (y1^2+y2^2))^2)+(x2-y2*((x1*y1-x2*y2) dividir por (y1^2+y2^2)))^2)
Expresiones semejantes
sqrt((x1-y1*((x1*y1+x2*y2)/(y1^2+y2^2))^2)+(x2-y2*((x1*y1-x2*y2)/(y1^2+y2^2)))^2)
sqrt((x1-y1*((x1*y1-x2*y2)/(y1^2+y2^2))^2)-(x2-y2*((x1*y1-x2*y2)/(y1^2+y2^2)))^2)
sqrt((x1-y1*((x1*y1-x2*y2)/(y1^2+y2^2))^2)+(x2-y2*((x1*y1+x2*y2)/(y1^2+y2^2)))^2)
sqrt((x1-y1*((x1*y1-x2*y2)/(y1^2+y2^2))^2)+(x2-y2*((x1*y1-x2*y2)/(y1^2-y2^2)))^2)
sqrt((x1+y1*((x1*y1-x2*y2)/(y1^2+y2^2))^2)+(x2-y2*((x1*y1-x2*y2)/(y1^2+y2^2)))^2)
sqrt((x1-y1*((x1*y1-x2*y2)/(y1^2-y2^2))^2)+(x2-y2*((x1*y1-x2*y2)/(y1^2+y2^2)))^2)
sqrt((x1-y1*((x1*y1-x2*y2)/(y1^2+y2^2))^2)+(x2+y2*((x1*y1-x2*y2)/(y1^2+y2^2)))^2)
Expresiones con funciones
Raíz cuadrada sqrt
sqrt((sqrt(a)+1/(sqrt(a)+2))*(sqrt(a)+1/(sqrt(a)-2))*(a-4))+a
sqrt((sqrt(x)+4)^2-16*sqrt(x))/((x)^(1/(4)))-4/((x)^(1/(4)))
sqrt((x^2+1/(x^2))^2+10*(x+1/x)^2+5)
sqrt(x/(1+x))*(1+x)*(1/(2*(1+x))-x/(2*(1+x)^2))/(x*sqrt(1-x/(1+x)))
sqrt(sqrt(2)/a+a/sqrt(2)+2)-(a^2*2^(1/4)-2*sqrt(a))/(a*(sqrt(2)*sqrt(a))-2^(3/4)*a^(1/16))

Simplificación de expresiones/ Descomposición en fracciones simples/ sqrt((x1-y1*((x1*y1-x2*y2)/(y1^2+y2^2))^2)+(x2-y2*((x1*y1-x2*y2)/(y1^2+y2^2)))^2)

¿Cómo vas a descomponer esta sqrt((x1-y1((x1y1-x2y2)/(y1^2+y2^2))^2)+(x2-y2((x1y1-x2y2)/(y1^2+y2^2)))^2) expresión en fracciones?

Solución

Ha introducido [src]

      _____________________________________________________
     /                        2                          2 
    /          /x1*y1 - x2*y2\    /        x1*y1 - x2*y2\  
   /   x1 - y1*|-------------|  + |x2 - y2*-------------|  
  /            |    2     2  |    |            2     2  |  
\/             \  y1  + y2   /    \          y1  + y2   /

$$\sqrt{\left(x_{1} - y_{1} \left(\frac{x_{1} y_{1} - x_{2} y_{2}}{y_{1}^{2} + y_{2}^{2}}\right)^{2}\right) + \left(x_{2} - y_{2} \frac{x_{1} y_{1} - x_{2} y_{2}}{y_{1}^{2} + y_{2}^{2}}\right)^{2}}$$

sqrt(x1 - y1*((x1*y1 - x2*y2)/(y1^2 + y2^2))^2 + (x2 - y2*(x1*y1 - x2*y2)/(y1^2 + y2^2))^2)

Descomposición de una fracción [src]

sqrt(x1 + x2^2 + x2^2*y2^4/(y1^4 + y2^4 + 2*y1^2*y2^2) - x1^2*y1^3/(y1^4 + y2^4 + 2*y1^2*y2^2) + 2*x2^2*y2^2/(y1^2 + y2^2) + x1^2*y1^2*y2^2/(y1^4 + y2^4 + 2*y1^2*y2^2) - y1*x2^2*y2^2/(y1^4 + y2^4 + 2*y1^2*y2^2) - 2*x1*x2*y1*y2/(y1^2 + y2^2) - 2*x1*x2*y1*y2^3/(y1^4 + y2^4 + 2*y1^2*y2^2) + 2*x1*x2*y2*y1^2/(y1^4 + y2^4 + 2*y1^2*y2^2))

      ______________________________________________________________________________________________________________________________________________________________________________________
     /                     2   4                   2   3              2   2          2   2   2                   2   2                                         3                       2    
    /         2          x2 *y2                  x1 *y1           2*x2 *y2         x1 *y1 *y2               y1*x2 *y2         2*x1*x2*y1*y2       2*x1*x2*y1*y2           2*x1*x2*y2*y1     
   /   x1 + x2  + --------------------- - --------------------- + --------- + --------------------- - --------------------- - ------------- - --------------------- + --------------------- 
  /                 4     4       2   2     4     4       2   2     2     2     4     4       2   2     4     4       2   2       2     2       4     4       2   2     4     4       2   2 
\/                y1  + y2  + 2*y1 *y2    y1  + y2  + 2*y1 *y2    y1  + y2    y1  + y2  + 2*y1 *y2    y1  + y2  + 2*y1 *y2      y1  + y2      y1  + y2  + 2*y1 *y2    y1  + y2  + 2*y1 *y2

Simplificación general [src]

        ________________________________________________________________________________
       /                                      2                 2                       
      /  /   /  2     2\                     \       /  2     2\                      2 
     /   \x2*\y1  + y2 / - y2*(x1*y1 - x2*y2)/  + x1*\y1  + y2 /  - y1*(x1*y1 - x2*y2)  
    /    ------------------------------------------------------------------------------ 
   /                                                 2                                  
  /                                       /  2     2\                                   
\/                                        \y1  + y2 /

$$\sqrt{\frac{x_{1} \left(y_{1}^{2} + y_{2}^{2}\right)^{2} - y_{1} \left(x_{1} y_{1} - x_{2} y_{2}\right)^{2} + \left(x_{2} \left(y_{1}^{2} + y_{2}^{2}\right) - y_{2} \left(x_{1} y_{1} - x_{2} y_{2}\right)\right)^{2}}{\left(y_{1}^{2} + y_{2}^{2}\right)^{2}}}$$

sqrt(((x2*(y1^2 + y2^2) - y2*(x1*y1 - x2*y2))^2 + x1*(y1^2 + y2^2)^2 - y1*(x1*y1 - x2*y2)^2)/(y1^2 + y2^2)^2)

Respuesta numérica [src]

(x1 + (x2 - y2*(x1*y1 - x2*y2)/(y1^2 + y2^2))^2 - y1*(x1*y1 - x2*y2)^2/(y1^2 + y2^2)^2)^0.5

(x1 + (x2 - y2*(x1*y1 - x2*y2)/(y1^2 + y2^2))^2 - y1*(x1*y1 - x2*y2)^2/(y1^2 + y2^2)^2)^0.5

Abrimos la expresión [src]

       _____________________________________________________
      /                             2                     2 
     /       /        x1*y1 - x2*y2\    y1*(x1*y1 - x2*y2)  
    /   x1 + |x2 - y2*-------------|  - ------------------- 
   /         |            2     2  |                   2    
  /          \          y1  + y2   /        /  2     2\     
\/                                          \y1  + y2 /

$$\sqrt{x_{1} - \frac{y_{1} \left(x_{1} y_{1} - x_{2} y_{2}\right)^{2}}{\left(y_{1}^{2} + y_{2}^{2}\right)^{2}} + \left(x_{2} - y_{2} \frac{x_{1} y_{1} - x_{2} y_{2}}{y_{1}^{2} + y_{2}^{2}}\right)^{2}}$$

sqrt(x1 + (x2 - y2*(x1*y1 - x2*y2)/(y1^2 + y2^2))^2 - y1*(x1*y1 - x2*y2)^2/(y1^2 + y2^2)^2)

Unión de expresiones racionales [src]

        ________________________________________________________________________________
       /                                      2                 2                       
      /  /   /  2     2\                     \       /  2     2\                      2 
     /   \x2*\y1  + y2 / - y2*(x1*y1 - x2*y2)/  + x1*\y1  + y2 /  - y1*(x1*y1 - x2*y2)  
    /    ------------------------------------------------------------------------------ 
   /                                                 2                                  
  /                                       /  2     2\                                   
\/                                        \y1  + y2 /

sqrt(((x2*(y1^2 + y2^2) - y2*(x1*y1 - x2*y2))^2 + x1*(y1^2 + y2^2)^2 - y1*(x1*y1 - x2*y2)^2)/(y1^2 + y2^2)^2)

Denominador racional [src]

           ____________________________________________________________________________________
          /                                                            2                       
         /                2              2 /            2             \                        
        /      /  2     2\    /  2     2\  |       x2*y2      x1*y1*y2|                      2 
       /    x1*\y1  + y2 /  + \y1  + y2 / *|x2 + --------- - ---------|  - y1*(x1*y1 - x2*y2)  
      /                                    |       2     2     2     2|                        
     /                                     \     y1  + y2    y1  + y2 /                        
    /       ---------------------------------------------------------------------------------- 
   /                                                      2                                    
  /                                            /  2     2\                                     
\/                                             \y1  + y2 /

$$\sqrt{\frac{x_{1} \left(y_{1}^{2} + y_{2}^{2}\right)^{2} - y_{1} \left(x_{1} y_{1} - x_{2} y_{2}\right)^{2} + \left(y_{1}^{2} + y_{2}^{2}\right)^{2} \left(- \frac{x_{1} y_{1} y_{2}}{y_{1}^{2} + y_{2}^{2}} + \frac{x_{2} y_{2}^{2}}{y_{1}^{2} + y_{2}^{2}} + x_{2}\right)^{2}}{\left(y_{1}^{2} + y_{2}^{2}\right)^{2}}}$$

sqrt((x1*(y1^2 + y2^2)^2 + (y1^2 + y2^2)^2*(x2 + x2*y2^2/(y1^2 + y2^2) - x1*y1*y2/(y1^2 + y2^2))^2 - y1*(x1*y1 - x2*y2)^2)/(y1^2 + y2^2)^2)

Potencias [src]

       _______________________________________________________
      /                               2                     2 
     /       /     y2*(x1*y1 - x2*y2)\    y1*(x1*y1 - x2*y2)  
    /   x1 + |x2 - ------------------|  - ------------------- 
   /         |           2     2     |                   2    
  /          \         y1  + y2      /        /  2     2\     
\/                                            \y1  + y2 /

$$\sqrt{x_{1} - \frac{y_{1} \left(x_{1} y_{1} - x_{2} y_{2}\right)^{2}}{\left(y_{1}^{2} + y_{2}^{2}\right)^{2}} + \left(x_{2} - \frac{y_{2} \left(x_{1} y_{1} - x_{2} y_{2}\right)}{y_{1}^{2} + y_{2}^{2}}\right)^{2}}$$

sqrt(x1 + (x2 - y2*(x1*y1 - x2*y2)/(y1^2 + y2^2))^2 - y1*(x1*y1 - x2*y2)^2/(y1^2 + y2^2)^2)

Compilar la expresión [src]

       _______________________________________________________
      /                               2                     2 
     /       /     y2*(x1*y1 - x2*y2)\    y1*(x1*y1 - x2*y2)  
    /   x1 + |x2 - ------------------|  - ------------------- 
   /         |           2     2     |                   2    
  /          \         y1  + y2      /        /  2     2\     
\/                                            \y1  + y2 /

sqrt(x1 + (x2 - y2*(x1*y1 - x2*y2)/(y1^2 + y2^2))^2 - y1*(x1*y1 - x2*y2)^2/(y1^2 + y2^2)^2)

Denominador común [src]

      ______________________________________________________________________________________________________________________________________________________________________________________
     /                     2   4                   2   3              2   2          2   2   2                   2   2                                         3                       2    
    /         2          x2 *y2                  x1 *y1           2*x2 *y2         x1 *y1 *y2               y1*x2 *y2         2*x1*x2*y1*y2       2*x1*x2*y1*y2           2*x1*x2*y2*y1     
   /   x1 + x2  + --------------------- - --------------------- + --------- + --------------------- - --------------------- - ------------- - --------------------- + --------------------- 
  /                 4     4       2   2     4     4       2   2     2     2     4     4       2   2     4     4       2   2       2     2       4     4       2   2     4     4       2   2 
\/                y1  + y2  + 2*y1 *y2    y1  + y2  + 2*y1 *y2    y1  + y2    y1  + y2  + 2*y1 *y2    y1  + y2  + 2*y1 *y2      y1  + y2      y1  + y2  + 2*y1 *y2    y1  + y2  + 2*y1 *y2

sqrt(x1 + x2^2 + x2^2*y2^4/(y1^4 + y2^4 + 2*y1^2*y2^2) - x1^2*y1^3/(y1^4 + y2^4 + 2*y1^2*y2^2) + 2*x2^2*y2^2/(y1^2 + y2^2) + x1^2*y1^2*y2^2/(y1^4 + y2^4 + 2*y1^2*y2^2) - y1*x2^2*y2^2/(y1^4 + y2^4 + 2*y1^2*y2^2) - 2*x1*x2*y1*y2/(y1^2 + y2^2) - 2*x1*x2*y1*y2^3/(y1^4 + y2^4 + 2*y1^2*y2^2) + 2*x1*x2*y2*y1^2/(y1^4 + y2^4 + 2*y1^2*y2^2))

Combinatoria [src]

      _____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
     /                    4                       4                   2   3                    2   4                2   2   2                   2   2                    2   2               2   2   2                        3                       3                       2    
    /    2           x1*y1                   x1*y2                  x1 *y1                 3*x2 *y2               x1 *y1 *y2               y1*x2 *y2              2*x1*y1 *y2            2*x2 *y1 *y2            4*x1*x2*y1*y2           2*x1*x2*y2*y1           2*x1*x2*y2*y1     
   /   x2  + --------------------- + --------------------- - --------------------- + --------------------- + --------------------- - --------------------- + --------------------- + --------------------- - --------------------- - --------------------- + --------------------- 
  /            4     4       2   2     4     4       2   2     4     4       2   2     4     4       2   2     4     4       2   2     4     4       2   2     4     4       2   2     4     4       2   2     4     4       2   2     4     4       2   2     4     4       2   2 
\/           y1  + y2  + 2*y1 *y2    y1  + y2  + 2*y1 *y2    y1  + y2  + 2*y1 *y2    y1  + y2  + 2*y1 *y2    y1  + y2  + 2*y1 *y2    y1  + y2  + 2*y1 *y2    y1  + y2  + 2*y1 *y2    y1  + y2  + 2*y1 *y2    y1  + y2  + 2*y1 *y2    y1  + y2  + 2*y1 *y2    y1  + y2  + 2*y1 *y2

$$\sqrt{- \frac{x_{1}^{2} y_{1}^{3}}{y_{1}^{4} + 2 y_{1}^{2} y_{2}^{2} + y_{2}^{4}} + \frac{x_{1}^{2} y_{1}^{2} y_{2}^{2}}{y_{1}^{4} + 2 y_{1}^{2} y_{2}^{2} + y_{2}^{4}} - \frac{2 x_{1} x_{2} y_{1}^{3} y_{2}}{y_{1}^{4} + 2 y_{1}^{2} y_{2}^{2} + y_{2}^{4}} + \frac{2 x_{1} x_{2} y_{1}^{2} y_{2}}{y_{1}^{4} + 2 y_{1}^{2} y_{2}^{2} + y_{2}^{4}} - \frac{4 x_{1} x_{2} y_{1} y_{2}^{3}}{y_{1}^{4} + 2 y_{1}^{2} y_{2}^{2} + y_{2}^{4}} + \frac{x_{1} y_{1}^{4}}{y_{1}^{4} + 2 y_{1}^{2} y_{2}^{2} + y_{2}^{4}} + \frac{2 x_{1} y_{1}^{2} y_{2}^{2}}{y_{1}^{4} + 2 y_{1}^{2} y_{2}^{2} + y_{2}^{4}} + \frac{x_{1} y_{2}^{4}}{y_{1}^{4} + 2 y_{1}^{2} y_{2}^{2} + y_{2}^{4}} + \frac{2 x_{2}^{2} y_{1}^{2} y_{2}^{2}}{y_{1}^{4} + 2 y_{1}^{2} y_{2}^{2} + y_{2}^{4}} - \frac{x_{2}^{2} y_{1} y_{2}^{2}}{y_{1}^{4} + 2 y_{1}^{2} y_{2}^{2} + y_{2}^{4}} + \frac{3 x_{2}^{2} y_{2}^{4}}{y_{1}^{4} + 2 y_{1}^{2} y_{2}^{2} + y_{2}^{4}} + x_{2}^{2}}$$

sqrt(x2^2 + x1*y1^4/(y1^4 + y2^4 + 2*y1^2*y2^2) + x1*y2^4/(y1^4 + y2^4 + 2*y1^2*y2^2) - x1^2*y1^3/(y1^4 + y2^4 + 2*y1^2*y2^2) + 3*x2^2*y2^4/(y1^4 + y2^4 + 2*y1^2*y2^2) + x1^2*y1^2*y2^2/(y1^4 + y2^4 + 2*y1^2*y2^2) - y1*x2^2*y2^2/(y1^4 + y2^4 + 2*y1^2*y2^2) + 2*x1*y1^2*y2^2/(y1^4 + y2^4 + 2*y1^2*y2^2) + 2*x2^2*y1^2*y2^2/(y1^4 + y2^4 + 2*y1^2*y2^2) - 4*x1*x2*y1*y2^3/(y1^4 + y2^4 + 2*y1^2*y2^2) - 2*x1*x2*y2*y1^3/(y1^4 + y2^4 + 2*y1^2*y2^2) + 2*x1*x2*y2*y1^2/(y1^4 + y2^4 + 2*y1^2*y2^2))

Parte trigonométrica [src]

       _______________________________________________________
      /                               2                     2 
     /       /     y2*(x1*y1 - x2*y2)\    y1*(x1*y1 - x2*y2)  
    /   x1 + |x2 - ------------------|  - ------------------- 
   /         |           2     2     |                   2    
  /          \         y1  + y2      /        /  2     2\     
\/                                            \y1  + y2 /

sqrt(x1 + (x2 - y2*(x1*y1 - x2*y2)/(y1^2 + y2^2))^2 - y1*(x1*y1 - x2*y2)^2/(y1^2 + y2^2)^2)

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Expresiones semejantes

Expresiones con funciones

¿Cómo vas a descomponer esta sqrt((x1-y1*((x1*y1-x2*y2)/(y1^2+y2^2))^2)+(x2-y2*((x1*y1-x2*y2)/(y1^2+y2^2)))^2) expresión en fracciones?

Solución

¿Cómo vas a descomponer esta sqrt((x1-y1((x1y1-x2y2)/(y1^2+y2^2))^2)+(x2-y2((x1y1-x2y2)/(y1^2+y2^2)))^2) expresión en fracciones?