Question : Simplify:
$\frac{(379+276)^2+(379-276)^2}{379 \times 379+276 \times 276}$
Option 1: 2
Option 2: 655
Option 3: 103
Option 4: 1
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Correct Answer: 2
Solution :
Given, $\frac{(379+276)^2+(379-276)^2}{379 \times 379+276 \times 276}$
= $\frac{2(379^2)+2(276)^2}{379^2+276 ^2}$ [$\because (a+b)^2+(a-b)^2=2(a^2+b^2)]$
= 2
Hence, the correct answer is 2.
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