Sr Examen

Otras calculadoras

¿Cómo vas a descomponer esta (1/(x+1))/(1+((1/x+1)*(1/y+1))) expresión en fracciones?

Expresión a simplificar:

Solución

Ha introducido [src]
              1              
-----------------------------
        /    /1    \ /1    \\
(x + 1)*|1 + |- + 1|*|- + 1||
        \    \x    / \y    //
1(x+1)((1+1x)(1+1y)+1)\frac{1}{\left(x + 1\right) \left(\left(1 + \frac{1}{x}\right) \left(1 + \frac{1}{y}\right) + 1\right)}
1/((x + 1)*(1 + (1/x + 1)*(1/y + 1)))
Simplificación general [src]
              x*y              
-------------------------------
(1 + x)*(x*y + (1 + x)*(1 + y))
xy(x+1)(xy+(x+1)(y+1))\frac{x y}{\left(x + 1\right) \left(x y + \left(x + 1\right) \left(y + 1\right)\right)}
x*y/((1 + x)*(x*y + (1 + x)*(1 + y)))
Respuesta numérica [src]
1/((1.0 + x)*(1.0 + (1.0 + 1/x)*(1.0 + 1/y)))
1/((1.0 + x)*(1.0 + (1.0 + 1/x)*(1.0 + 1/y)))
Combinatoria [src]
            x*y            
---------------------------
(1 + x)*(1 + x + y + 2*x*y)
xy(x+1)(2xy+x+y+1)\frac{x y}{\left(x + 1\right) \left(2 x y + x + y + 1\right)}
x*y/((1 + x)*(1 + x + y + 2*x*y))
Denominador común [src]
               x*y               
---------------------------------
         2              2        
1 + y + x  + 2*x + 2*y*x  + 3*x*y
xy2x2y+x2+3xy+2x+y+1\frac{x y}{2 x^{2} y + x^{2} + 3 x y + 2 x + y + 1}
x*y/(1 + y + x^2 + 2*x + 2*y*x^2 + 3*x*y)
Unión de expresiones racionales [src]
              x*y              
-------------------------------
(1 + x)*(x*y + (1 + x)*(1 + y))
xy(x+1)(xy+(x+1)(y+1))\frac{x y}{\left(x + 1\right) \left(x y + \left(x + 1\right) \left(y + 1\right)\right)}
x*y/((1 + x)*(x*y + (1 + x)*(1 + y)))
Denominador racional [src]
            x*y            
---------------------------
(1 + x)*(1 + x + y + 2*x*y)
xy(x+1)(2xy+x+y+1)\frac{x y}{\left(x + 1\right) \left(2 x y + x + y + 1\right)}
x*y/((1 + x)*(1 + x + y + 2*x*y))