In the expansion of (x+a)^n if the sum o...

In the expansion of `(x+a)^n` if the sum of odd terms is `P` and the sum of even terms is `Q ,` tehn `P^2-Q^2=(x^2-a^2)^n` `4P Q=(x+a)^(2n)-(x-a)^(2n)` `2(P^2+Q^2)=(x+a)^(2n)+(x-a)^(2n)` none of these

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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) 4P Q=(x+a)^(2n)-(x-a)^(2n) (c) 2(P^2+Q^2)=(x+a)^(2n)+(x-a)^(2n) (d)none of these

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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 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

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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)

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