Manchester United's Zlatan Ibrahimovic celebrates scoring on his Premier League debut
Eddie Howe's side fell behind towards the end of the first half when Juan Mata - starting despite rumours of unrest after he was subbed off during the Community Shield - found the net from close range.
United looked threatening throughout today's match and were rewarded by two further goals in the 59th and 64th minute via a Wayne Rooney header and a 25-yard effort from Ibrahimovic.
The Swedish striker continued his remarkable run of scoring on his domestic debuts, having also found the net in his first games in top flight football in Italy, Spain and France.
Adam Smith may have got on the scoresheet, but he struggled to shackle new man Ibrahimovic
Manager Howe wasn't overly critical of his side when he spoke to Sky Sports after the game.
"I thought the team in general functioned pretty well," he said.
He added: "We gifted them the goal and you can't do that with any team in the Premier League. We have done it to the very best today. You just have to go again."
There was mixed reaction on Twitter from fans and neutrals alike, with some supporters bemoaning the lack of tactical changes from Howe, whilst many fans and even United supporters showed encouragement to the Cherries. There was also praise for the performance of new signing Lewis Cook.
@lewiscook_ well done Lewis. I remember helping to save the new club with collection buckets in mid 90s when working down there good luck— Mike Bushell (@mikebreakfast) August 14, 2016
@lewiscook_ Very well played today mate! Great PL debut!— Alexander PS Chapman (@chattie99) August 14, 2016
Thought Boruc looked really trim and in shape was unfortunate with the goals #afcb— Ashley Grant (@ashleyafcb1) August 14, 2016
Overall plenty of positives from the game today. Cut out the mistakes & it would've been a very different match. Bring on next week! #afcb— Tom Harris (@TommHarris11) August 14, 2016
Ok reality check . We played Man U . They will be top 4 . We played fantastic for 30 mins til we let em in . Think we will be ok :-) #afcb— Paul James (@paul18280) August 14, 2016
Just seen the goals. Some really, really poor defending for the 2nd goal. Collectively a shambolic attempt at marking players #AFCB— Robbie Sargent (@korsikoff) August 14, 2016
The state of some fans on the #afcb hashtag. It's match one, chill out.— Patrick Sullivan (@sully1790) August 14, 2016
Fingers crossed I can avoid Twitter in the immediate aftermath of all games this season. We played okay. I'm excited for this season #afcb— Adrian (@AyJayL) August 14, 2016
And total nonsense to say "same old mistakes". When was last time #afcb did under hit back pass? Happens to every team occasionally— ChrisAFCB (@ChrisAFCB) August 14, 2016
Bournemouth continue the start to the Premier League season with a visit to West Ham's new ground, the Olympic Stadium, in Sunday's 4pm kick-off.
Meanwhile Jose Mourinho's men play their first Friday night fixture as Southampton pay a visit to Old Trafford.