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Prove that (x+b)^(n)=""^(n)C(0) x^(n)+""...

Prove that `(x+b)^(n)=""^(n)C_(0) x^(n)+""^(n)C_(1) x^(n-1)b+ ""^(n)C_(2) x^(n-2) b^(2)+...+ ....+..... ""^(n)C_(n) b^(n), and n in N ` and hence find `(101)^(4)`.

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