| x4 − 1 | 3x2 − 27 | x2 + 2x + 1 | |||
. | : | = | |||
| 9 − 6x + x2 | x3 + x | 6 − 2x |
| (x2 − 1)(x2 + 1) | 3(x2 − 9) | 2(3 − x) | |||
. | . | = | |||
| (3 − x)2 | x3 + x | x + 1)2 |
| (x2 − 1)(x2 + 1) | 3(x − 3) (x + 3) | 2(3 − x) | |||
. | . | = | |||
| (3 − x)2 | x(x2 + 1) | (x + 1)2 |
| (x2 − 1) . 3(x + 3) . 2 | |
= | |
| x(x + 1)2 |
| (2x2 − 2)(6x + 18) | |
| x3 + 2x2 +x |
| 6(x−1)(x+3) | ||
= | ||
| x(x+1) |