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Prove (i) (a+ ( 1)/( a) )^(2) +( a-(1)/(...

Prove (i) `(a+ ( 1)/( a) )^(2) +( a-(1)/(a)) ^(2) =2( a^(2) +(1)/( a^(2))) ^(2) `
(ii) ` (a+ (1)/( a))^(2) -( a-(1)/( a))^(2) =4 `

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