if n is an odd number is n(n-2) odd?
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(For all integers n) If n is odd, then n2 is odd. Proof: If n is odd, then n = 2k + 1 for some integer k. Thus, n2 = (2k + 1)2 = 4k2 + 4k + 1 = 2(2k2 + 2k) + 1
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YES
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