If \[\mathbf{x=}{{\mathbf{p}}^{\mathbf{1/3}}}\mathbf{+}{{\mathbf{p}}^{\mathbf{-}}}^{\mathbf{1/3}}\] and \[\mathbf{y=}{{\mathbf{p}}^{\mathbf{1/3}}}\mathbf{-}{{\mathbf{p}}^{\mathbf{-}}}^{\mathbf{1/3}}\], then find the value of \[\frac{{{\mathbf{(}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{-}{{\mathbf{y}}^{\mathbf{2}}}\mathbf{)}}^{\mathbf{3}}}}{\mathbf{(}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+}{{\mathbf{y}}^{\mathbf{2}}}\mathbf{+xy)(}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+}{{\mathbf{y}}^{\mathbf{2}}}\mathbf{-xy)}}\]

• A.  1                                                                    
• B.  2
• C.  3                                                                    
• D.  4
• E.  None of these