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

Expresión a simplificar:

Solución

Ha introducido [src]
y + c /c     c  \
-----*|- + -----|
  c   \y   y + c/
$$\frac{c + y}{c} \left(\frac{c}{c + y} + \frac{c}{y}\right)$$
((y + c)/c)*(c/y + c/(y + c))
Simplificación general [src]
    c
2 + -
    y
$$\frac{c}{y} + 2$$
2 + c/y
Respuesta numérica [src]
(c + y)*(c/y + c/(c + y))/c
(c + y)*(c/y + c/(c + y))/c
Parte trigonométrica [src]
        /c     c  \
(c + y)*|- + -----|
        \y   c + y/
-------------------
         c         
$$\frac{\left(c + y\right) \left(\frac{c}{c + y} + \frac{c}{y}\right)}{c}$$
(c + y)*(c/y + c/(c + y))/c
Combinatoria [src]
c + 2*y
-------
   y   
$$\frac{c + 2 y}{y}$$
(c + 2*y)/y
Denominador común [src]
    c
2 + -
    y
$$\frac{c}{y} + 2$$
2 + c/y
Potencias [src]
        /c     c  \
(c + y)*|- + -----|
        \y   c + y/
-------------------
         c         
$$\frac{\left(c + y\right) \left(\frac{c}{c + y} + \frac{c}{y}\right)}{c}$$
(c + y)*(c/y + c/(c + y))/c
Denominador racional [src]
c*y + c*(c + y)
---------------
      c*y      
$$\frac{c y + c \left(c + y\right)}{c y}$$
(c*y + c*(c + y))/(c*y)
Compilar la expresión [src]
        /c     c  \
(c + y)*|- + -----|
        \y   c + y/
-------------------
         c         
$$\frac{\left(c + y\right) \left(\frac{c}{c + y} + \frac{c}{y}\right)}{c}$$
        /1     1  \
(c + y)*|- + -----|
        \y   c + y/
$$\left(c + y\right) \left(\frac{1}{c + y} + \frac{1}{y}\right)$$
(c + y)*(1/y + 1/(c + y))
Unión de expresiones racionales [src]
c + 2*y
-------
   y   
$$\frac{c + 2 y}{y}$$
(c + 2*y)/y