soluzione
Calcolare
(1 -
|
18
x2 + 9 |
) · (
|
x
x2 - x - 6 |
+
|
x
x2 + 5x + 6 |
-
|
1
x + 2 |
) : (
|
1
x + 2 |
+
|
1
x - 1 |
)
|
=
|
=
|
(1 -
|
18
x2 + 9 |
) · (
|
x
(x + 2)(x - 3) |
+
|
x
(x + 2)(x + 3) |
-
|
1
x + 2 |
) : (
|
1
x + 2 |
+
|
1
x - 1 |
)
|
=
|
=
|
x2 + 9 - 18
x2 + 9 |
·
|
x(x + 3) + x(x - 3) - (x - 3)(x + 3)
(x + 2)(x - 3)(x + 3) |
:
|
x - 1 + x + 2
x + 2 |
=
|
=
|
x2 + 9 - 18
x2 + 9 |
·
|
x2 + 3x + x2 - 3x - x2 + 9
(x + 2)(x - 3)(x + 3) |
:
|
x - 1 + x + 2
x + 2 |
=
|
=
|
x2 - 9
x2 + 9 |
·
|
x2 + 9
(x + 2)(x - 3)(x + 3) |
:
|
2x + 1
x + 2 |
=
|
=
|
x2 - 9
x2 + 9 |
·
|
x2 + 9
(x + 2)(x - 3)(x + 3) |
·
|
x + 2
2x + 1 |
=
|
=
|
(x - 3)(x + 3)
x2 + 9 |
·
|
x2 + 9
(x + 2)(x - 3)(x + 3) |
·
|
x + 2
2x + 1 |
=
|
=
|
1
2x + 1 |
|