If x and y are two distinct integers and n is a natural number then x n - y n is divisible by

Question

If x and y are two distinct integers and n is a natural number then x n - y n is divisible by, x 2 - y 2, x + y, x - y, None of these

MARKS App · Accepted Answer

P n : x n - y n where n ∈ N Then, P 1 : x - y is divisible x - y P 2 : x 2 - y 2 is divisible x - y P 3 : x 3 - y 3 is divisible x - y Hence x n - y n is divisible x - y

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