Extraction of aluminum from aluminum oxide $\left({\mathrm{Al}}_2{\mathrm{O}}_3\right)$ is best done by

Bauxite  ${\mathrm{Al}}_2{\mathrm{O}}_3$ is dissolved in Cryolite and then it is electrolyzed by Hall Heroult’s process we can obtain Al metal.

$\mathrm{Cathode} : {\mathrm{Al}}^{+3} +3{\mathrm{e}}^{-}\to \mathrm{Al}$

$\mathrm{Anode} :{\mathrm{O}}^{-2} +\mathrm{C}\to \mathrm{CO}+2{\mathrm{e}}^{-}$

$\mathrm{overall}: {\mathrm{Al}}_2{\mathrm{O}}_3 +3\mathrm{C}\to 2 \mathrm{Al} + 3\mathrm{CO}$