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In the expansion of (1 + a)m+n, prove that coefficients of am and an are equal.

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Solution: We know that (r + 1)th term, (Tr +1), in the binomial expansion of (a + b) n is given by

Thus, from (1) and (2) , it can be observed that the coefficients of a m and a n in the expansion of (1 + a ) m + n are equal. 

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