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Solution 1
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Let the consecutive even integers are n and (n + 2)
difference of the squares = (n + 2)² - n² = (n² + 4n + 4) - n² = 4n + 4 = 4(n + 1)
which is divisible by 4
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Solution 2 (preferred way)
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Just take any of the two consecutive even integers say 2 and 4
difference of the squares = 4² - 2² = 16 - 4 = 12 which is divisible by 4