Question

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

Answer 1

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.