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 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 o be the sum of odd terms and E that of even terms in the expansion of (x+a)^(n) prove that: O^(2)-E^(2)=(x^(2)-a^(2))^(n)( (i) 4OE=(x+a)^(2n)-(x-a)^(2n)( iii) 2(O^(2)+E^(2))=(x+a)^(2n)+(x-a)^(2n)

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 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 A and B are the sums of odd and even terms respectively in the expansion of (x+a)^(n) tehn (x+a)^(2n)-(x-a)^(2n)=

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

The sum of the coefficients of middle terms in the expansion of (1+x)^(2n-1)

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

In the expansion of (x+a)^(n) if the sum of odd terms is P and the sum of even terms is Q then (a)P^(2)-Q^(2)=(x^(2)-a^(2))^(n)(b)4PQ=(x+a)^(2n)-(x-a)^(2n)(c)2(P^(2)+Q^(2))=(x+a)^(2n)+(x-a)^(2n) (d)none of these