If x + 1/x = 7, find the value of x^3 +1/(x^3).

If $ x + \frac{1}{x} = 7$,

find the value of $ x^3 +\frac{1}{x^3}$

If x + \(\frac{1}{x}\)  = n

then, $x^3 +\frac{1}{x^3}$ = n³ - 3n

$ x + \frac{1}{x} = 7$,

$ x^3 +\frac{1}{x^3}$ = 7³ - 3 × 7 = 322