"If `o` be the sum of odd terms and `E` that of even terms in the expansion of `(x+a)^n` prove that:
Channel: Doubtnut
Date: 2019-12-27

"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)`"

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