If \left (a\plus{}\frac{1}{a} \right )^2\equal{}3, then a^3\plus{}\frac{1}{a^3} equals:
<spanclass=′latex−bold′>(A)</span>3103<spanclass=′latex−bold′>(B)</span>33<spanclass=′latex−bold′>(C)</span>0<spanclass=′latex−bold′>(D)</span>77<spanclass=′latex−bold′>(E)</span>63