Jurgen Klopp was still without 10 first-team players but his team flew out of the blocks and found themselves two goals up within six minutes thanks to a Luis Diaz header and a fine Harvey Elliott strike.
They continued to press relentlessly and Trent Alexander-Arnold found the top corner from 25 yards in the 28th minute.
Roberto Firmino was on hand to volley home a deflected cross three minutes later before Virgil van Dijk headed home an Andy Robertson corner right on half-time.
A Chris Mepham own goal straight after the interval set the tone for another onslaught with Brazilian Firmino adding his second just after the hour to make it seven.
Fabio Carvalho sent a beautiful volley past Mark Travers in the Bournemouth goal after Kostas Tsimikas cut the ball back in the 80th minute and Diaz completed the rout five minutes later with another header from a Tsimikas corner.
Liverpool were ruthless in the best possible sense. “We want 10” were the cries from the Anfield faithful and it appeared that the players were of the same mindset.
It was a much-needed result for Klopp and his team and they will try and carry that momentum into the match against Newcastle at Anfield on Wednesday. For Bournemouth, the rout was their third consecutive league defeat without scoring a goal after beating Aston Villa in their opening game.
There is still plenty to be done to repair the damage of the opening three games, but the resounding nature with which the Reds conducted their business against Bournemouth offers us grounds for optimism that we certainly didn’t have this time last week.
More of the same against Newcastle please Reds