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Math Help - Prove

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    Prove

    If p is prime, prove that (a+b)^p is congruent to a^p + b^p (mod p)
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    Quote Originally Posted by mandy123 View Post
    If p is prime, prove that (a+b)^p is congruent to a^p + b^p (mod p)
    If you expand (a+b)^p as a binomial the intermediatary terms {p\choose k}a^pb^{p-k} for 1\leq k\leq p-1 become that p divides {p\choose k}.
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