If n is a rational number, then 5^2n − 2^2n is divisible by
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52n −22n is of the form a2n − b2n which is divisible by both (a + b) and (a – b). So, 52n − 22n is divisible by both 7, 3. Therefore H.C.F of 693, 567 and 441 is 63. 15
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