If P and Q are the sum of odd terms and the sum of even terms respectively in the expansion of `(x+a)^(n)` then prove that
`P^(2)-Q^(2)=(x^(2)-a^(2))^(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=

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 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 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

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

In the expansion of (x+a) ,sum of the odd terms is P and the sum of even terms is Q then 4PQ .