Ozil and Mkhitaryan put the hosts two goals ahead after 27 minutes but Lys Mousset offered the Cherries hope of a fightback with his goal three minutes later.
But Koscielny and Aubameyang’s efforts restored Arsenal's two-goal lead before Lacazette added a fifth 12 minutes from time. The result sees Arsenal hold onto their fourth-placed spot in the table.
Bournemouth, meanwhile, remain adrift in mid-table and seven points clear of the relegation zone.
So how did the two teams fare? See the gallery below for our player ratings.
Player ratings: Arsenal vs Bournemouth
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