In the binomial expansion of `(1+a)^(m+n)` , prove that the coefficient of `a^m a n d\ a^n` are equal.

Answer

N/a

Explanation

`T_(r+1)=^(m+n)C_(r)(1)^(M+n-r).x^(r)`
`=^(m+n)C_(r).x^(r)`
`:. " Coefficient of " x^(m)=^(m+n)C_(m)=(|ul(m+n))/(|ulm.|uln)("put r=m")`
and coefficient of `x^(n) =^(m+n) C_(n) =(|ul(m+n))/(|uln.|ulm))`
(put r=n)
Therefoe the coefficients of `x^(m) " and "x^(n)` are equal. Hence Proved