SOLUTION: given two odd integers 'a' and 'b'.prove that a^3-b^3 is divisible by 2^n iff a-b is divisible by2

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Question 473651: given two odd integers 'a' and 'b'.prove that a^3-b^3 is divisible by 2^n iff a-b is divisible by2
Answer by Alan3354(69443) About Me  (Show Source):
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given two odd integers 'a' and 'b'.prove that a^3-b^3 is divisible by 2^n iff a-b is divisible by 2
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If a and b are odd, then a-b is always divisible by 2.
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For what value of n?