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 |
|