( 963 + 476 )^2 + ( 963 - 476 )^2 ( 963 × 963 + 476 × 476 ) = ?

Answer: Option A

Given expression,
$$=\frac{{\left(a+b\right)}^2+{\left(a-b\right)}^2}{\left(a^2+b^2\right)}$$     (where a = 963 and b = 476)
$$\begin{array}{rl}& =\frac{2\left(a^2+b^2\right)}{\left(a^2+b^2\right)}\\ & =2\end{array}$$