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Автор - Карамелька64935

СРОЧНО ПОМОГИТЕ ПОЖАЛУЙСТА

Ответ

Автор - m11m
х¹⁶ - у¹⁶ =(х+у)(х²+у²)(х⁴+у⁴)(х⁸+у⁸)
  х-у

1) х¹⁶-у¹⁶=(х⁸-у⁸)(х⁸+у⁸)=(х⁴-у⁴)(х⁴+у⁴)(х⁸+у⁸)=(х²-у²)(х²+у²)(х⁴+у⁴)(х⁸+у⁸)=
    =(х-у)(х+у)(х²+у²)(х⁴+у⁴)(х⁸+у⁸)

2) (х-у)(х+у)(х²+у²)(х⁴+у⁴)(х⁸+у⁸) = (х+у)(х²+у²)(х⁴+у⁴)(х⁸+у⁸)
                     х-у

(х+у)(х²+у²)(х⁴+у⁴)(х⁸+у⁸)=(х+у)(х²+у²)(х⁴+у⁴)(х⁸+у⁸)
Тождество доказано.

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