In: Math
In the binomial expansion of \( (1+a)^{m+n}, \)prove that the cofficients of \( a^m~and a^n \) are equal?
Solution:
Proceed as follows:

Thus, the cofficient of \( a^m= \)the cofficient of \( a^n \).
The cofficient \( a^m = \) of the cofficient of \( a^n \).
\( a^n \).