Question
If $(a+b)=2$ and $(a-b)=10$, find the values of : $\left(a^2+b^2\right)$

Answer

52
[Hint. $(a+b)^2+(a-b)^2=2\left(a^2+b^2\right)$ and $(a+b)^2-(a-b)^2=4 a b$.]

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