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` (ii) `4O E=(x+a)^(2n)-(x-a)^(2n)` (iii) `2(O^2+E^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: (i) O^2-E^2=(x^2-a^2)^n (ii) 4O E=(x+a)^(2n)-(x-a)^(2n) (iii) 2(O^2+E^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 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 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 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 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 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 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 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 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