Jordan Henderson gave Xabi Alonso's side the perfect start when the veteran midfielder curled home after just 68 seconds to claim his first goal for Chelsea.
Five-star Chelsea run riot against Bournemouth
Chelsea returned to winning ways in emphatic fashion with a 5-1 victory over Bournemouth at Stamford Bridge on Saturday, ending a run of three Premier League matches without a win.
The Blues doubled their advantage in the third minute as Morgan Rogers' drive deflected into the net off Bournemouth defender Antonio Silva.
Chelsea struck again just one minute after the interval through Joao Pedro, who finished clinically from Pedro Neto's pass.
Evanilson pulled a goal back for Bournemouth in the 51st minute, turning in Moises Caicedo's miscued clearance as Chelsea's run without a Premier League clean sheet extended to 22 matches.
However, Joao Pedro put the result beyond doubt in the 67th minute, poking home from close range to register his fifth goal of the season.
Henderson completed the scoring three minutes later with a powerful free-kick, securing his second goal of the afternoon as Chelsea took their tally to 23 goals in eight matches across all competitions this season.
Elsewhere in the Premier League
Aston Villa's difficult start to the season continued as they were held to a 2-2 draw by Brentford at Villa Park.
Yehor Yarmoliuk fired Brentford ahead in the 10th minute before Nicolas Jackson equalised just 88 seconds later.
John McGinn put Villa in front in the 77th minute, but Kristoffer Ajer responded two minutes later to leave Unai Emery's side with just one league victory this season.
Elsewhere, Ipswich Town secured a dramatic 2-1 victory over Fulham at Portman Road.
Ryan Sessegnon gave the visitors the lead in the 55th minute before Abdoul Ouattara equalised with a stunning strike in the 88th minute. Dara O'Shea then headed home a stoppage-time winner to complete the comeback.
Brighton also claimed an impressive 2-0 victory away to Sunderland despite finishing with 10 men.
Maxim De Cuyper opened the scoring in the 53rd minute before Pascal Struijk was sent off four minutes later following a foul on Wilson Isidor.
Jaouen Hadjam sealed the victory in stoppage time as Brighton strengthened their grip on third place in the Premier League table.
