Evaluate: 37^2 - 36^2

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Mathematics

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According to the property of square numbers, for any natural number n,

$(n+1)^2 - n^2 = (n+1) + n$

$37^2 - 36^2\\[1em] = 37 + 36\\[1em] = 73$

Hence, $37^2 - 36^2 = 73$

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