question_answer

If \[\mathbf{P=2}\sqrt{\mathbf{7}}\mathbf{-3}\sqrt{\mathbf{3}}\] and \[\mathbf{Q=}\frac{\mathbf{1}}{\mathbf{P}}\], then find the value of\[{{\mathbf{P}}^{\mathbf{4}}}\mathbf{-}{{\mathbf{Q}}^{\mathbf{4}}}\].

A)  \[2110\sqrt{3}\]                                                

B)  \[-\,1440\sqrt{7}\]

C)  \[2210\sqrt{7}\]                                                

D)  \[-\,2640\sqrt{21}\]

E)  None of these