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1. ${(2 u v)}^{2} + {(u^{2} - v^{2})}^{2} = ?$

Answer: Option C

Explanation:

{(2 u v)}^{2} + {(u^{2} - v^{2})}^{2} = x \Rightarrow 4 u^{2} v^{2} + u^{4} + v^{4} - 2 u^{2} v^{2} = x \Rightarrow u^{4} + v^{4} + 2 u^{2} v^{2} = x \Rightarrow {(u^{2} + v^{2})}^{2} = x

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