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Prove that in the expansion of (1+x)^n(1...

Prove that in the expansion of `(1+x)^n(1+y)^n(1+z)^n` , the sum of the coefficients of the terms of degree `ri s^(3n)C_r` .

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prove that the coefficient of the (r +1)th term in the expansion of (1+x)^(n) is equal to the sum of the coefficients of the rth and (r+1)th terms in the expansion of (1+x)^(n-1)