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If a and b are distinct Integers, prove ...

If a and b are distinct Integers, prove that a - b is a factor of `a^(n) - b^(n)`, whenever n is a positive integer. [Hint: write `a^(n) = (a-b + b)^(n)` and expand]

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The correct Answer is:
`rArr a^(n)-b^(n)` is divisible by `(a-b)`.
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