Evaluate: 85^2 - 84^2

Mathematics

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

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

$85^2 - 84^2\\[1em] = 85 + 84\\[1em] = 169$

Hence, $85^2 - 84^2 = 169$

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