On this occasion it was a combination of Cook's forgettable and regrettable day, and the absence of striker Callum Wilson, not risked with a hamstring problem.
But Bournemouth boss Eddie Howe was unhappy with one of Salah's goals being allowed to stand.
"It's a nice achievement to have, but the result is the most important thing today".
He said: "We want to be as good as possible, we don't know what that is". In the end when you see how it developed, especially with the scoreline at the end, it is flawless, but in the game we had a lot of things we could have done better. "Six weeks for us is massive, I can't even count the games in that period, but that means as well that he will be back for a big part of the season still and that's good". But I know everyone else's expectation for me is very high.
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He may have benefited from a close offside decision for the 25th-minute opener that gave Liverpool a half-time lead, but the finishes for his two second-half goals were outstanding.
"[It's] a bit, I would say, lucky because it could have been worse". The extraordinary campaign that brought 44 goals saw him play mostly on the right side of a three-man attack, the movement of Firmino and Sadio Mane creating the space in which a formerly impressive but hardly otherworldly forward achieved barely credible feats. Of course, a few new players came in but all the other players are now much more mature.
"I do think the only way to be successful is to be completely focused on yourself, that's what we try to do". This league is so hard to play in, but 42 points I usually had in April and now it is December. That's why we made a decision to give him eight hours off.
It helped the Reds' cause that Salah was gifted the chance to add a second three minutes after the restart when Steve Cook lost the ball near the halfway line. Then we need you, play, and then he had a hard start against Burnley and plays that game and this game. "We were very controlled in the first half, scored the goal but I wasn't completely happy with the rhythm changes". We all have our own interests and aims.