Question

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
$p^2+q^2$

• A.
• B.
• C.
• D.

Answer 1

The correct option is C

$p^2+q^2=\frac{1}{2}[{(p+q)}^2+{(p-q)}^2]=\frac{1}{2}[{(x+a)}^{2n}+{(x-a)}^{2n}]$.