If n is an integer, when (2n + 1)2 is divided by 4 the remainder is
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We first expand (2n + 2)2
(2n + 2)2 = 4n2 + 8n + 4
Factor 4 out.
= 4(n2 + 2n + 1)
(2n + 2)2 is divisible by 4 and the remainder is equal to 0.
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