If (x^2+1/(x^2)) = 23, x > 0 What is the value of (x^3+1/(x^3))= ?

If $(x^2+\frac{1}{x^2}) = 23, x > 0 $

$(x^3+\frac{1}{x^3})$= ?

If $K^2+\frac{1}{K^2}$ = n 

then,  K+ \(\frac{1}{k}\) = \(\sqrt {n + 2}\)

x+ \(\frac{1}{x}\) = \(\sqrt {23 + 2}\) = 5

$(x^3+\frac{1}{x^3})$= 5³ - 3 × 5 = 110