They had dominated proceedings until just before the break when Eden Hazard set up the normally goal-shy Kante to fire home brilliantly into the roof of the net.
But what did journalists, statisticians and fans make of the Reds' latest win?
Hasenhuttl nearly got off to a flawless start when Charlie Austin steered just wide from Matt Targett's cross, but Cardiff soon threatened and Jacob Murphy drew a good stop from Alex McCarthy.
"So he was really composed, and goals two and three are excellent".
Jürgen Klopp's side were in control for much of Saturday's Premier League clash at Vitality Stadium and surged clear of the Cherries with three second-half goals.
The former Roma winger had a mixed start to the season, but the German tactician has disclosed that it was never a source of worry.
However, replays show that Salah was in an offside position when Firmino launched his shot and should have been called offside, a decision Howe was frustrated with at full time.
However, there's still a multitude of matches to be played, and history tells us that it's extremely hard to go the entire Premier League season unbeaten, although not impossible.
Last season the Egypt worldwide was named the PFA Players' Player of the Year and won the Premier League Golden Boot after a memorable first campaign at Anfield.
The Egyptian appeared glum after each strike of his hat trick in victory at Bournemouth.
His third, which saw him become the fastest player to score 40 Premier League goals for Liverpool, was a delight. I think Liverpool will challenge right until the death.
Young nearly grabbed a second after 25 minutes, but United doubled their lead when Lukaku and Rashford linked to set up Juan Mata before Lukaku tapped in Mata's cross to all but seal the points before the break.
Belgium global Divock Origi scored a victor in the 95th minute to secure a 1-0 victory over Everton in the Merseyside derby in the Premier League.
Liverpool have notched 10 clean sheets so far this season.
However, the players positioned in front of him have also played a huge part in creating the most formidable defence in the league, and...
"It's just that we really want to be as successful as possible".
Virgil van Dijk has played down the suggestion that Liverpool FC are the only club that can stop Manchester City in the title race.
"I know everyone has high expectations for me, but the most important thing is to win each game and that we are top of the table".
The grumbles at Old Trafford around the stodgy form of Manchester United, who had not won in four league matches, were silenced when goals from Ashley Young, Juan Mata, Romelu Lukaku and Marcus Rashford wrapped up a 4-1 win over 10-man Fulham.
Klopp said: "It was a very mature game".
The best form of defence is a good offence... unless you're playing Liverpool. If you hit them, they'll likely hit you back with twice the ferocity.