In a scintillating first half at the Vitality Stadium, the opener came courtesy of a slalom run through the home defence and fine finish by Philippe Coutinho.
Dejan Lovren soon doubled the lead with a diving header and Mohamed Salah left the Cherries with a mountain to climb when he bagged his 20th goal of the season.
The result was put beyond any doubt via a fourth from Roberto Firmino after the break - check out the best images from the game below...