Find the middle term in the expansion of `(x^2+1/(x^2)+2^n)dot`

Answer

`((2n)!)/((n!)^(2))`

Explanation

`(x^(2)+1/(x^(2))+2)^(n) = (x+1/x)^(2n)`
Hence, the middle term is
`T_((2n)/(2)+1) = T_(n+1) = .^(2n)C_(n)(x)^(n)(1/x)^(n) = .^(2n)C_(n)= ((2n)!)/((n!)^(2))`