The Egypt winger was slightly below par on this occasion by his lofty standards, but a header 21 minutes from time took him to 40 in all competitions in a Reds shirt and 30 in the league, adding to Sadio Mane's first-half strike before Roberto Firmino netted a late third.
Now eleventh in the table with a few games to go, Bournemouth's 38 points should be enough to let them put their feet up in the knowledge they've secured another season in the top flight.
"We played against a very good team today, one of the best in Europe and they are showing it, it was a tough test and we learned a lot", Howe said after the match.
Routine Begovic saves from Alexander-Arnold and Salah followed, with the home side relentless in attack and their pace terrorising a scrambling Bournemouth back-line.
Alexander-Arnold played the ball in behind the defence for the red-hot Egyptian who got on the end of the ball and looped his header over Begovic, to register his 30th Premier League goal of the season.
Asked about his leading scorer possibly being distracted by the prospect of that personal accolade, Klopp added: "We need his greed, we need him to want to score". Sometimes it's so obvious that he knows it. He becomes the first Liverpool player since Ian Rush in 1986-87 to break the 40-goal mark in a single campaign. Jurgen Klopp's side seem to have to hit the ideal groove and look simply unstoppable.
In the 68th minute in the game against Bournemouth, Salah scored his 40th goal of the season and made it into Liverpool history.
"Was he 14 when he scored them!?"
Having sealed their progression to the Champions League semi-finals after beating champions-elect Manchester City at the Etihad, there may have been slight concerns that the Reds were still revelling from that brilliant night in Manchester just a few days before.
Ever since they were unceremoniously knocked out of the FA Cup after a 2-3 defeat in the 4th round at the hands of West Brom towards the end of January, Liverpool have consistently been firing on all cylinders, wiping out teams that have stood in their way, including the seemingly infallible Manchester City.
"They have shown it in the Premier League and the Champions League".
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