"A very tough team to play against at the moment and in the first half we struggled to live with their pace, energy [and] intensity".
It continued to be one-way traffic in the opening 45 minutes and Begovic denied both Alexander-Arnold and Salah before Bournemouth finally threatened.
There was certainly a "wow" factor about the manner in which Salah claimed his 40th, and the 30th in the league this season, after 69 minutes. "Comparing them to last season I think they've really improved and grown as a team", he said.
"That's really good and we have to carry it on for a few games to come".
Liverpool had a penalty appeal on 66 minutes after what looked like a foul by Nathan Ake on Salah but nothing was given.
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"But we can not force it; so, pass, shoot, pass, shoot, that's the normal thing to do".
"He's the threat but it's good to analyse it with the boys afterwards, we show them and they listen".
"They're a hard team to stop, with players everywhere, they're playing with so much confidence at the moment and we found it a challenge to keep them at bay".
Liverpool had beaten Premier League champions-elect Manchester City 5-1 on aggregate in the Champions League quarter-finals and, four days after their second-leg victory at the Etihad Stadium, they were equally impressive to Bournemouth boss Eddie Howe.
Begovic did well to save the initial header but Mane reacted quickly to blast in the loose ball.
It has already been a remarkable win for the Reds thanks to their Champions League exploits against Man city but Jurgen Klopp will be eager to pick up three points this evening to cement their place in the top four.
And after Salah took centre stage, Firmino rounded off a fine afternoon for the hosts when he converted clinically from 18 yards after being picked out by Alex Oxlade-Chamberlain.
"They've shown that throughout the season and of course in the Champions League".