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 odd terms and Q be the sum of even terms in the expansion of (x+a)^n , prove that (ii) 4PQ= (x+a)^(2n) - (x-a)^(2n) and

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

If P be the sum of odd terms and Q be the sum of even terms in the expansion of (x+a)^(n) , then (x+a)^(2n)+(x-a)^(2n) is (i) P^(2)-Q^(2) (ii) P^(2)+Q^(2) (iii) 2(P^(2)+Q^(2)) (iv) 4PQ

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 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 P be the sum of odd terms and Q be the sum of even terms in the expansion of (x+a)^n , prove that (i) p^2 - Q^2 = (x^2 - a^2)^(n)

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 4PQ=(x+a)^(2n)-(x-a)^(2n)

If P be the sum of odd terms and Q be the sum of even terms in the expansion of (x+a)^n , prove that (iii) 2(P^2 + Q^2 ) = (x+a)^(2n) + (x-a)^(2n) .

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 P and Q are the sum of odd sum terms and the sum of even terms respectively in the expansion of (x +a)^n then prove that 4PQ = (x+a)^(2n) - (x - a)^(2n)