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2016-04-12T00:31:57+05:30

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11) Show that (n²-1) is divisible by 8, if n is an odd positive integer.

Let n = 3
n² = 3² ⇒ 3 x 3 = 9
n² - 1 = (3² - 1) = 9 - 1 = 8

8 is divisible by 8. 8/8 = 1.

Even if n is equal to -3, the fact that it is raised to the 2nd power will still result to a positive 9.

-3² - 1 = 9 - 1 = 8

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