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Nightmonster
@Nightmonster
July 2022
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Доказать, что
49^3 + 26^3 делится на 75 (вычислить удобным способом)
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mihzakharov
Воспользуемся формулой a^3 + b^3 = (a+b) * (a^2 - ab + b^2)
49^3 + 26^3 = (49 + 26) * (49^2 + 49*26 + 26^2) = 75 * (49^2 + 48*26 + 26^2)
т.е. один из множителей 75
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Answers & Comments
49^3 + 26^3 = (49 + 26) * (49^2 + 49*26 + 26^2) = 75 * (49^2 + 48*26 + 26^2)
т.е. один из множителей 75