soluzione


Calcolare

( x

x + y
+ y2

x2 - y2
) : ( x2

x2 - y2
+ y3

x3 - xy2
)   =  


( x

x + y
+ y2

(x - y)(x + y)
) : ( x2

(x - y)(x + y)
+ y3

x(x - y)(x + y)
)   =  


  =   x(x - y) + y2

(x - y)(x + y)
: x3 + y3

x(x - y)(x + y)
  =  


  =   x2 - xy + y2

(x - y)(x + y)
: x3 + y3

x(x - y)(x + y)
  =  


  =   x2 - xy + y2

(x - y)(x + y)
· x(x - y)(x + y)

x3 + y3
  =  


  =   x2 - xy + y2

(x - y)(x + y)
· x(x - y)(x + y)

(x + y)(x2 - xy + y2)
  =  


  =   x

x + y