question_answer

If \[x=\sqrt{15}-\sqrt{13}\] and \[y=\sqrt{15}+\sqrt{13},\] then find the value of\[\left( {{x}^{3}}+80\sqrt{13} \right)-\left( {{y}^{2}}-37\sqrt{13} \right)\].

A)  0                                

B)  1

C)  \[2\,\sqrt{13}\]             

D)  \[\sqrt{3}\]

E)  None of these