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Celtic consolidated their place at the top of the Scottish Premiership after a rampant attacking display at Motherwell extended their unbeaten league run to 19 league games.
Liel Abada ghosted into the home box to net the opener, and Tom Rogic curled in a delightful second from 20 yards before he added a third on 45 minutes, finishing from close range.
Motherwell improved after the break but still shipped a fourth when Daizen Maeda's wildly-deflected effort looped in.
The win sends Ange Postecoglou's side four points clear, but reigning champions Rangers will have the chance to return that gap to a single point when they host Hearts at 16:00 GMT.
Motherwell remain fourth, but are still searching for their first league win of 2022 and are now just four points clear of ninth.
Not since December 2015 had the Lanarkshire side taken three points against Celtic in the league, and with Postecoglou's exhilarating team coming off the back of a huge derby victory on Wednesday, the hosts' wait was expected to continue.
But Motherwell withstood early pressure, with Abada's first-time finish stopped by the foot of Liam Kelly before the Israeli winger's dangerous low ball across was cut out by the Motherwell goalkeeper.
The hosts, with no recognised winger in their line up for the second game running, were happy to flood the centre of the park and press Celtic high.
That method seemed to nullify the visitors and as a result the Fir Park side showed signs of building momentum, although Kelly had to be alert with his right boot again to deny Giorgos Giakoumakis' low drive across goal.
But for all the hosts' impressive work inside the opening 28 minutes, they found themselves two down in the following three.
First, dreadful defending from the Motherwell defence allowed Reo Hatate to bend a low ball into the path of the arriving Abada to bury, similar to his midweek goal against Rangers.
Rogic, on his return after international duty, added a quickfire second with a divine 20-yard effort into the top-left corner.
And 14 minutes later, on the stroke of half-time, the Australia international had his second and Celtic's third. Abada was the provider again, sliding a ball across for Rogic to finish first time past Kelly at close range.
Alexander made three half-time changes, one being debutant Joe Efford, who made an instant impact, forcing Joe Hart up to his right to parry a deflected effort before the American flashed another strike wide of the near post.
Up the other end, Celtic captain Callum McGregor failed to add to his side's tally when he drilled a strike of his own over on the break.
But the away side got their fourth in fortuitous fashion when Maeda's strike from just inside the box looped high in air via a deflection off Bevis Mugabi and dropped into the net.
The Japan forward had a golden chance to make it five moments later after substitute Jota found the striker free in the middle, but the 24-year-old cushioned his finish over.
The ruthless attacking mentality Postecoglou has instilled in his Celtic side was evident until the final whistle as Rogic looked for a hat-trick, first steering a near-post strike off the outside of the right-hand post then finishing low into the arms of Kelly shortly after.
Four it would finish for Celtic, though, making it seven goals in their last two games without reply as they remain in top spot.
Man of the match - Tom Rogic
What did we learn?
Overall, Celtic's domestic form has been outstanding since defeat at Livingston in September. But it is now nine away league wins in their last 10, a relentless run of form on the road that has been key in their title bid.
In Rogic, Postecoglou is showing that not only is he getting his money's worth out of his new arrivals, but he is also improving the players he inherited.
The attacking midfielder looked to be on his way out of Celtic last season, but his manager and fellow countryman has reignited the spark inside the Australia international.
As for Motherwell, Efford's introduction highlighted instantly why Alexander got his team selection wrong.
Cheap defending cost the hosts the opener, but they were winning the ball back in promising positions. With a direct, pacey attacking threat at the top end of the pitch to stretch the visiting backline, they could have got more joy.
With a trip to Dundee United to come in midweek, a game that could see the Fir Park club drop out the top four, it is now on Alexander to find an attacking formula that is going to bring his side goals.
What did they say?
Motherwell manager Graham Alexander: "Teams can play as well as you let them, but I don't think we did that. We were in our best spell when they scored the first goal and we certainly could've done better on that.
"It was a difficult afternoon for us. My players never gave up, they kept going right to the end. We now have a massive game on Wednesday."
Celtic manager Ange Postecoglou: "We like to play a certain way. We don't want to be a team that grinds out results, we want to get the fans off their seats and have a good time.
"We want to be relentless. We didn't come here to shut up shop after three goals, we want to get four, five, six. We will be doing that until the end of the season until we rest or we drop to the ground."
What's next?
Both sides are in Premiership action on Wednesday (19:45 GMT) as Motherwell travel to Dundee United and Celtic go to Aberdeen.
Player of the match
RogicTomas Rogic
with an average of 8.86
Motherwell
Squad number1Player nameKelly
Squad number5Player nameMugabi
Squad number18Player nameCornelius
Squad number21Player nameSolholm Johansen
Squad number22Player nameDonnelly
Squad number2Player nameO'Donnell
Squad number3Player nameCarroll
Squad number16Player nameSlattery
Squad number19Player nameMcGinley
Squad number27Player nameGoss
Squad number26Player nameTierney
Squad number20Player nameEfford
Squad number9Player namevan Veen
Squad number23Player nameGrimshaw
Squad number7Player nameWoolery
Squad number32Player nameNirennold
Celtic
Squad number18Player nameRogic
Squad number11Player nameAbada
Squad number41Player nameHatate
Squad number33Player nameO'Riley
Squad number17Player nameJota
Squad number20Player nameCarter-Vickers
Squad number42Player nameMcGregor
Squad number38Player nameMaeda
Squad number56Player nameRalston
Squad number3Player nameTaylor
Squad number7Player nameGiakoumakis
Squad number4Player nameStarfelt
Squad number6Player nameBitton
Squad number88Player nameJuranovic
Squad number49Player nameForrest
Squad number15Player nameHart
Line-ups
Motherwell
Formation 3-4-3
- 1Kelly
- 5MugabiBooked at 83mins
- 21Solholm JohansenSubstituted forGrimshawat 82'minutes
- 19McGinleyBooked at 40mins
- 2O'Donnell
- 22DonnellyBooked at 86mins
- 18Cornelius
- 3CarrollSubstituted forTierneyat 45'minutes
- 16SlatterySubstituted forNirennoldat 81'minutes
- 9van VeenSubstituted forWooleryat 45'minutes
- 27GossSubstituted forEffordat 45'minutes
Substitutes
- 7Woolery
- 12Fox
- 14Ojala
- 17Amaluzor
- 20Efford
- 23Grimshaw
- 26Tierney
- 28Roberts
- 32Nirennold
Celtic
Formation 4-3-3
- 15Hart
- 56Ralston
- 20Carter-Vickers
- 4Starfelt
- 3TaylorSubstituted forJuranovicat 80'minutes
- 18Rogic
- 42McGregorSubstituted forO'Rileyat 63'minutes
- 41HatateSubstituted forBittonat 45'minutes
- 11AbadaSubstituted forForrestat 45'minutes
- 7GiakoumakisBooked at 59minsSubstituted forNeves Filipeat 63'minutes
- 38Maeda
Substitutes
- 6Bitton
- 16McCarthy
- 17Neves Filipe
- 19Johnston
- 29Bain
- 33O'Riley
- 49Forrest
- 57Welsh
- 88Juranovic
Live Text
Match ends, Motherwell 0, Celtic 4.
Second Half ends, Motherwell 0, Celtic 4.
Corner, Celtic. Conceded by Liam Grimshaw.
Jota (Celtic) wins a free kick in the defensive half.
Foul by Joseph Efford (Motherwell).
Attempt saved. Tomas Rogic (Celtic) left footed shot from the centre of the box is saved in the centre of the goal. Assisted by Daizen Maeda.
Anthony Ralston (Celtic) wins a free kick on the right wing.
Foul by Ross Tierney (Motherwell).
Liam Donnelly (Motherwell) is shown the yellow card for a bad foul.
Jota (Celtic) wins a free kick in the attacking half.
Foul by Liam Donnelly (Motherwell).
Attempt missed. Josip Juranovic (Celtic) right footed shot from outside the box is close, but misses to the right from a direct free kick.
Bevis Mugabi (Motherwell) is shown the yellow card for a bad foul.
Daizen Maeda (Celtic) wins a free kick in the attacking half.
Foul by Bevis Mugabi (Motherwell).
Substitution, Motherwell. Liam Grimshaw replaces Sondre Solholm Johansen.
Substitution, Motherwell. Victor Nirennold replaces Callum Slattery.
Foul by Tomas Rogic (Celtic).
Ross Tierney (Motherwell) wins a free kick in the defensive half.
Attempt blocked. Josip Juranovic (Celtic) right footed shot from outside the box is blocked. Assisted by Matt O'Riley.