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 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 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 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

What is the sum of the coefficients of all the terms in the expansion of (45x-49)^(4) ?

IfO,be the sum of terms at odd position and E that of terms at the even position in the expansion (x+a)^(n)