$$\frac{{{{\left( {963 + 476} \right)}^2} + {{\left( {963 - 476} \right)}^2}}}{{\left( {963 \times 963 + 476 \times 476} \right)}} = ?$$

A. 2

B. 4

C. 497

D. 1449

E. None of these

Answer: Option A

Solution(By Examveda Team)

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)
$$\eqalign{ & = \frac{{2\left( {{a^2} + {b^2}} \right)}}{{\left( {{a^2} + {b^2}} \right)}} \cr & = 2 \cr} $$