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By using binomial theorem prove that (i) (2^(3n)-7n-1) is divisible by 49 where n is a positive integer. (ii)(3^(3n)-26n-1) is divisible by 26^(2) Where n is a positive integer. (iii) (6^(n)-5n) when divided by 25 leaves a remainder 1. (iv) (x^(2n)-y^(2n)) is divisible (x-y) , n in N |
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