Who can prove the general term formula of binomial?

If n = k, the proposition holds, that is, (a + b) ^ k = sigma C (k, I) a ^ IB ^ (n-i) (I = 1,2,3, K) when n = K + 1, (a + b) ^ (K + 1) = (a + B) (a + b) ^ k = (a + b) Sigma C (k, I) a ^ IB ^ (n-i) by using the formula C (k, I) + C (k, I

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