Question : What is the value of $(a+b)^2+(a-b)^2$?
Option 1: $8ab$
Option 2: $4ab$
Option 3: $4(a^2+b^2)$
Option 4: $2(a^2+b^2)$
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Correct Answer: $2(a^2+b^2)$
Solution : Given, $(a+b)^2+(a-b)^2$ = $a^2+b^2+2ab+a^2+b^2-2ab$ = $2(a^2+b^2)$ Hence, the correct answer is $2(a^2+b^2)$.
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