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

In the binomial expansion of (1+a)^(m+n) prove that the coefficient of a^(m) and a^(n) are equal.

Consider the expansion of (1 + x)^(2n+1) If the coefficients of x^(r) and x^(r+1) are equal in the expansion, then r is equal to

In the expansion of (3+x/2)^(n) the coefficients of x^(7) and x^(8) are equal, then the value of n is equal to

If in the expansion of (1 +x)^(m) (1 - x)^(n) , the coefficients of x and x^(2) are 3 and - 6 respectively, the value of m and n are

If in the expansion of (1+x)^(m)(1-x)^(n), the coefficients of x and x^(2) are 3 and -6 respectively,then m is:

If in the expansion of (1+x)^(n) ,the coefficients of pth and qth terms are equal, prove that p+q=n+2, where p!=q

If m and n are positive integers, then prove that the coefficients of x^(m) " and " x^(n) are equal in the expansion of (1+x)^(m+n)