Liverpool extended their lead at the top of the Premier League to five points as an impressive second-half display overpowered Bournemouth at the Vitality Stadium.
In difficult conditions with the onset of Storm Isha, an even first half gave way to another show of Liverpool's attacking strength as two goals apiece from Darwin Nunez and Diogo Jota sealed a deserved three points.
Jurgen Klopp's men hold that lead over Manchester City, Arsenal and Aston Villa - although Pep Guardiola's reigning champions have a game in hand.
Both sides struggled to create anything worthwhile in the first half but Nunez broke the deadlock four minutes after the break with a composed right-foot finish from Jota's pass.
Nunez was then involved in the build-up to Liverpool's second with 20 minutes left, battling to win possession for Cody Gakpo to release Jota, who beat Neto at his near post.
Jota got his second when he initially miscontrolled, but then recovered his poise to send a low shot beyond the Bournemouth keeper.
Uruguay forward Nunez added the fourth in stoppage-time, diverting in Joe Gomez's cross.
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Liverpool make light of Salah absence
Mohamed Salah's presence with the Egypt squad at the Africa Cup of Nations saw the usual questions asked about how Liverpool would cope without their talismanic superstar.
The answer so far has been a highly impressive one, with victory at Arsenal in the FA Cup fourth round, an EFL Cup semi-final first-leg win against Fulham and now a stroll to three points here on a stormy south coast.
Nunez and Jota came to the party once again with two goals each, proving what weaponry Klopp has at his disposal even without Salah. Both showed the quality required here to compensate for the fact the Premier League's joint-leading scorer was missing.
This was also a Liverpool side without several other high-profile players, including the injured Trent Alexander-Arnold, Andrew Robertson, Dominik Szoboszlai, and Japan midfielder Wataru Endo also away at the Asian Cup.
The cruise to victory was helped by an outstanding performance from Argentina World Cup winner Alexis Mac Allister in midfield. Controlled and classy, he was always able to bring order even though some of the play around him was scrappy.
The visitors made a sluggish start after enjoying a short break away, but once they moved through the gears in the second half Bournemouth were unable to stop their attacking force.
And, as Liverpool go into Wednesday's EFL Cup semi-final second leg at Fulham with a 2-1 advantage, what many felt would be a transitional season now shapes up into something special.
Solanke quiet as Bournemouth have no answer
Bournemouth's recent fine form gave rise to hopes they might be able to shock the leaders but, after a first half when neither side had an edge, the Cherries ended up outclassed.
Striker Dominic Solanke, with 12 goals this season and having won the Premier League Player of the Month award as reward for his outstanding campaign so far, was Bournemouth's big hope but he barely had a chance and was substituted late on.
This was no reflection on Solanke, who demonstrated a tireless work ethic against his former club.
Yet it was more an illustration of how Liverpool, with captain Virgil van Dijk and Ibrahima Konate in control at the back, simply never gave the hosts any clear opportunities until the game was won.
Bournemouth will have much better days than this, while it should also be remembered they were up against a Liverpool side that has been formidable this season, having lost only one game in highly contentious circumstances at Tottenham.
The way they competed in the first half showed their development under manager Andoni Iraola, who has been putting his stamp on Bournemouth after a shaky start to his reign.
There was no shame in the loss - they were simply well beaten by a better side and have to move on.
Player of the match
Diogo JotaDiogo Jota
with an average of 9.15
AFC Bournemouth
Squad number9Player nameSolanke
Squad number10Player nameChristie
Squad number1Player nameNeto
Squad number37Player nameAarons
Squad number27Player nameZabarnyi
Squad number16Player nameTavernier
Squad number23Player nameHill
Squad number7Player nameBrooks
Squad number14Player nameScott
Squad number17Player nameSinisterra
Squad number6Player nameMepham
Squad number5Player nameKelly
Squad number21Player nameMoore
Squad number4Player nameL Cook
Squad number29Player nameBilling
Squad number19Player nameKluivert
Liverpool
Squad number20Player nameDiogo Jota
Squad number9Player nameNúñez
Squad number5Player nameKonaté
Squad number10Player nameMac Allister
Squad number84Player nameBradley
Squad number4Player namevan Dijk
Squad number2Player nameGomez
Squad number1Player nameAlisson
Squad number18Player nameGakpo
Squad number17Player nameJones
Squad number7Player nameDíaz
Squad number19Player nameElliott
Squad number38Player nameGravenberch
Squad number42Player nameClark
Squad number63Player nameBeck
Squad number49Player nameGordon
Line-ups
Bournemouth
Formation 4-2-3-1
- 1Neto
- 37AaronsSubstituted forat 87'minutes
- 27Zabarnyi
- 6Mepham
- 23HillSubstituted forKellyat 55'minutes
- 4L CookBooked at 59minsSubstituted forBillingat 83'minutes
- 10Christie
- 16Tavernier
- 19KluivertSubstituted forBrooksat 69'minutes
- 17SinisterraSubstituted forScottat 55'minutes
- 9SolankeSubstituted forMooreat 83'minutes
Substitutes
- 5Kelly
- 7Brooks
- 13Marcondes
- 14Scott
- 21Moore
- 26Kilkenny
- 29Billing
- 42Travers
- 43Greenwood
Liverpool
Formation 4-3-3
- 1Alisson
- 84BradleyBooked at 66minsSubstituted forBeckat 83'minutes
- 5Konaté
- 4van Dijk
- 2Gomez
- 19ElliottSubstituted forGravenberchat 64'minutes
- 10Mac Allister
- 17JonesSubstituted forClarkat 83'minutes
- 7DíazSubstituted forGakpoat 64'minutes
- 20JotaSubstituted forGordonat 90+4'minutes
- 9NúñezBooked at 90mins
Substitutes
- 13Adrián
- 18Gakpo
- 38Gravenberch
- 42Clark
- 49Gordon
- 53McConnell
- 62Kelleher
- 63Beck
- 78Quansah
Referee:Andy Madley
Attendance:11,228
Live Text
Match ends, Bournemouth 0, Liverpool 4.
Second Half ends, Bournemouth 0, Liverpool 4.
Attempt missed. Alex Scott (Bournemouth) right footed shot from outside the box is high and wide to the right. Assisted by Kieffer Moore.
Darwin Núñez (Liverpool) is shown the yellow card for a bad foul.
Foul by Darwin Núñez (Liverpool).
Kieffer Moore (Bournemouth) wins a free kick in the attacking half.
Attempt missed. Kieffer Moore (Bournemouth) right footed shot from outside the box misses to the right. Assisted by David Brooks following a fast break.
Ibrahima Konaté (Liverpool) wins a free kick in the defensive half.
Foul by Kieffer Moore (Bournemouth).
Substitution, Liverpool. Kaide Gordon replaces Diogo Jota.
Goal! Bournemouth 0, Liverpool 4. Darwin Núñez (Liverpool) right footed shot from the left side of the six yard box to the bottom right corner. Assisted by Joe Gomez with a cross.
Alexis Mac Allister (Liverpool) wins a free kick in the defensive half.
Foul by Ryan Christie (Bournemouth).
Attempt missed. David Brooks (Bournemouth) header from the left side of the box is high and wide to the left following a set piece situation.
Foul by Ryan Gravenberch (Liverpool).
Marcus Tavernier (Bournemouth) wins a free kick on the left wing.
Attempt missed. David Brooks (Bournemouth) left footed shot from the centre of the box misses to the left. Assisted by Ryan Christie with a through ball.
Corner, Bournemouth. Conceded by Owen Beck.
Max Aarons went off injured after Bournemouth had used all subs.
Delay over. They are ready to continue.