If k^4+1/(k^4)=194, then what is the value of k^3+1/(k^3)?

If x⁴ + \(\frac{1}{x^4}\) = a

then x² + \(\frac{1}{x^2}\) = \(\sqrt {a + 2}\) = b

and x + \(\frac{1}{x}\) = \(\sqrt {b + 2}\)

 $k^4+\frac{1}{k^4}=194$

$k^3+\frac{1}{k^3}$ = ?

k² + \(\frac{1}{k^2}\) = \(\sqrt {194 + 2}\) = 14

and k + \(\frac{1}{k}\) = \(\sqrt {14 + 2}\) = 4

$k^3+\frac{1}{k^3}$ = 4³ - 4 × 3 = 52