| 1 | 1 | |||
Oblicz x6+ | wiedząc że x+ | =−4 | ||
| x6 | x |
jak mam chociaż rozpisać tą potęgę
| 1 | 1 | 1 | ||||
x6 + | = (x2 + | )( x4 − 1 + | ) = | |||
| x6 | x2 | x4 |
| 1 | 1 | |||
= ((x + | )2 − 2)((x2 + | ) − 3) = | ||
| x | x2 |
| 1 | 1 | |||
= ((x + | )2 − 2)((x + | )2 − 2)2 − 3) | ||
| x | x |
| 1 | 1 | 1 | 1 | |||||
x6+ | =(x3+ | )2−2=[(x+ | )(x2−1+ | )]2−2= | ||||
| x6 | x3 | x | x2 |