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2022-08-27 22:38:07
Với n là số lẻ thì n có dạng n= 2k + 1 với k ∈ N.
Từ đó => n3 = ( 2k+ 1)3 = 8k3 + 12k2 + 6k + 1 = 2(4k3 + 6k2 +3k) +1
Vì 2(4k3 + 6k2 +3k) là số chẵn.
nên => 2(4k3 + 6k2 +3k) +1 là số lẻ => n3 là số lẻ.