Предмет: Алгебра, автор: soldatovvaaa

докажите, что разность кубов чисел 728 и 563 делится на 165 без остатка

Ответы

Автор ответа: sedinalana

728³-563³=(728-563)(728²+728*563+563²)=165*(728²+728*563+563²)
Если один из множителей делится на 165,то и все произведение делится на 165.Значит разность кубов этих чисел делится без остатка на 165.

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