If a be sum of the odd numbered terms and b the sum of even numbered terms of the expansion `(1+x)^(n)`,`n` `epsilon` `N` `then` `(1-x^(2))^(n)` is equal to

If A is the sum of the odd terms and B is the sum of even terms in the expansion of (x+a)^(n) then A^(2)-B^(2) =

If the sum of odd numbered terms and the sum of even numbered terms in the expansion of (x+a)^n are A and B respectively . Then the value of (x^2-a^2)^n is

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

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

Find the number of terms in the expansion of (1+x)^n(1-x)^n .

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=

The number of terms in the expansion of (x^2+1+1/x^2)^n, n in N , is:

The number of terms in the expansion of (x^2+1+1/x^2)^n, n in N , is: