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sakusi
@sakusi
July 2022
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докажите что при любом целом n значение (5N +2)^2 -(3N-2)^2 делится на 16
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VovchikSAGAN
(5n+2)²-(3n-2)²≡16
25n²+20n+4-(9n²-12n+4)≡16
25n²+20n+4-9n²+12n-4≡16
16n²+32n≡16
16(n²+2n)≡16
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Answers & Comments
25n²+20n+4-(9n²-12n+4)≡16
25n²+20n+4-9n²+12n-4≡16
16n²+32n≡16
16(n²+2n)≡16