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Question 113
What is the value of $$\frac{(941+149)^{2}+(941-149)^{2}}{(941\times941+149\times149)}?$$
Solution
Expression : $$\frac{(941+149)^{2}+(941-149)^{2}}{(941\times941+149\times149)}$$
= $$\frac{(941^2 + 149^2 + 2.941.149) + (941^2 + 149^2 - 2.941.149)}{941^2 + 149^2}$$
= $$\frac{2 * (941^2 + 149^2)}{941^2 + 149^2}$$
= 2
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