Jurgen Klopp’s side were looking to answer their critics after dropping four points in their last two Premier League games to open the door for Manchester City in the title race.
Sadio Mane broke the deadlock against both Leicester City and West Ham but the Reds were guilty of squandering successive leads to draw 1-1 at Anfield and London Stadium.
The Senegal international extended his goal-scoring run with the opening goal against the Cherries after Mane guided a header past Artur Boruc in the 24th minute.
Liverpool FC doubled their lead in some style when Dutch midfielder Georginio Wijnaldum lifted a finish over Boruc to score his third goal of the Premier League campaign.
If their second goal was a moment of individual brilliance, Liverpool FC’s third and final strike came from an excellent team move after Naby Keita and Roberto Firmino combined to tee up Salah to seal a resounding win.
BBC Sport pundit Lineker was quick to heap praise on Firmino for the assist and Salah for the goal.
Lineker wrote on Twitter: “Superb goal from @MoSalah with the most brilliantly clever assist thanks to incredible awareness from Firmino.”
Liverpool FC moved three points clear of Manchester City ahead of the Citizens’ clash against Chelsea FC on Sunday.
And Lineker made light of talk of a crisis at Anfield after back-to-back stalemates.
He added: “Well @LFC are 2 up. The crisis in which they never lost a game appears to be over.”
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