If the sum of odd terms and the sum of even terms in `(x+a)^(n)` are p and q respectively then 4pq=...

If the sum of odd terms and the sum of even terms in the expansion of (x+a)^(n) are p and q respectively then p^(2)-q^2=

If n be a positive integer and the sums of the odd terms and even terms in the expansion of (a+x)^(n) be A and B respectively,prove that,A^(2)-B^(2)=(a^(2)-x^(2))^(n)

If P be the sum of all odd terms and Q that of all even terms in the expansion of (x+a)^(n) , prove that

If A be the sum of odd terms and B the sum of even terms in the expnsion of (x+a)^n, show that 4AB= (x+a)^(2n)-(x-a)^(2n)

If A and B respectively denote the sum of the odd terms and sum of the even terms in the expansion of (x+y)^(n), then the value of (x^(2)-y^(2))^(n), is equal to

The number of terms in an A.P. is even , the sum of odd terms is 63 and that of even terms is 72 and the last term exceeds the first term by 16.5 . Find the number of terms :