Let the number $(22{)}^{2022}+(2022{)}^{22}$ leave the remainder $\alpha$ when divided by 3 and $\beta$ when divided by 7 . Then $\left({\alpha }^{2}+{\beta }^{2}\right)$ is equal to [JEE Main 2023, 10 Apr (Shift 2)]

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Let the number \((22{)}^{2022}+(2022{)}^{22}\) leave the remainder \(\alpha\) when divided by 3 and \(\beta\) when divid…

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