Find value of `(x+(1)/(x))^(3)+(x^(2)+(1)/(x^(2)))^(3)+"........"+(x^(n)+(1)/(x^(n)))^(3)`.

Explanation

To solve the problem, we need to find the value of the expression:

\[ S = \left(x + \frac{1}{x}\right)^3 + \left(x^2 + \frac{1}{x^2}\right)^3 + \cdots + \left(x^n + \frac{1}{x^n}\right)^3 \]

### Step 1: Rewrite the General Term
The general term in the series can be expressed as:
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