The Value of $$ \frac{(35+27)^2 + (35-27)^2}{(35)^2 + (27)^2} $$

Explanation

$$ \frac{(35+27)^2 + (35-27)^2}{(35)^2 + (27)^2} $$ $$ = \frac{(35)^2 + (27)^2 + 2 \times 35 \times 27 + (35)^2 + (27)^2 - 2 \times 35 \times 27}{(35)^2 + (27)^2} $$ $$ = \frac{2[(35)^2 + (27)^2]}{[(35)^2 + (27)^2]} $$ = 2 Hence, option (d) is the right answer.