If $\;\alpha\;$ and $\;\beta\;$ are roots of the equation , $\;x^{2} - 4 \sqrt{2}k x +2e^{4 ln k}-1=0\;$ for some k , and $\;\alpha^{2} + \beta^{2} =66\;$ , then $\;\alpha^{3} + \beta^{3}\;$ is equal to :

Question

$(a)\;248\;\sqrt{2} \qquad(b)\;280\;\sqrt{2}\qquad(c)\;-32\;\sqrt{2}\qquad(d)\;-280\;\sqrt{2}$