Предмет: Алгебра, автор: ksusaprosto62

Докажите, что 15⁴ – 186² кратно 39​

Ответы

Автор ответа: Аноним
0

а²-с²=(а-с)*(а+с)

с⁴=(с²)²

15⁴ – 186²= (15² – 186)*(15²+ 186)=(225-186)*(15²+ 186)=39*(15²+ 186) кратно 39, т.к.  первый множитель 39 произведения 39*(15²+ 186) делится на 39. Доказано.

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