Chelsea survived a late fightback from Luton to claim an important win in a thrilling game at Kenilworth Road.
The Blues started the match brightly and took the lead in the 12th minute, a poor clearance from Luton's Issa Kabore handing the ball to Cole Palmer for the forward to drill low into the far corner past Thomas Kaminski.
Palmer was in the mix again as Chelsea doubled their lead when his pass set up Noni Madueke, who dribbled past Amari'i Bell and smashed the ball into the top corner.
Good work from Nicolas Jackson set up Palmer, who stayed calm to score the Blues' third in the second half.