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If $x+$$\frac 1x$$=2$, then what is the value of $(x^{2020}$ $+$ $\frac {1}{x^{2019}})$$(x^{2019}$ $+$ $\frac {1}{x^{2020}})$ ?

Algebra  


BdMO  


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Attempt 1068


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First Solve Tahsin