Eze, who nearly joined Spurs prior to moving to Arsenal from Crystal Palace in August, scored his first goals since netting a hat-trick in the first north London derby of the season in November.
The pressure was on Arsenal to respond after back-to-back draws at Brentford and Wolves had allowed Manchester City to close in at the top.
Mikel Arteta’s men rose to the challenge to inflict more pain on their local rivals in Igor Tudor’s first match as interim Tottenham boss.
“I think you have to bring context to the situation and this is the beauty of football,” said Arteta.
“We lift everyone up immediately. Now we have to show what we are made of. That is about attitude and how you respond to a difficult moment.”
Eze has even struggled for minutes in recent weeks as Arteta has favoured other options.
But restored to the starting line-up, he repaid his manager’s faith.
The England international hooked in the opening goal from close range just after the half-hour mark, but Tottenham levelled almost immediately through Randal Kolo Muani.
Viktor Gyokeres restored Arsenal’s lead early in the second half with his most significant goal so far for the Gunners.
Eze was on hand to roll in his second goal after Guglielmo Vicario denied Bukayo Saka.
Gyokeres then rounded off the scoring in stoppage time.
City have a game in hand in the title race and home advantage when the top two meet in April.
But a much-needed victory gives Arsenal some breathing space in their quest for a first league title in 22 years.
Tottenham remain just four points above the relegation zone.
“It was a difficult game,” said Tudor. “It was a lesson!”
Mac Allister admitted “nothing was good” about much of Liverpool’s performance despite snatching a crucial win in their battle for Champions League qualification.
Forest’s fourth manager of the season, Vitor Pereira, was taking charge for the first time in the league and his side looked set to earn a deserved point until a dramatic finale.
Mac Allister had a goal ruled out when he charged down Ola Aina’s clearance in the closing stages.
The ball was deemed to have struck the Argentine midfielder on the arm.
However, to Pereira’s fury, Forest did not heed the warning as they slipped to within two points of the bottom three.
Mac Allister swept home a rebound after Virgil van Dijk’s header was saved.
Liverpool remain in sixth but climb level on points with Chelsea and Manchester United and within six points of Aston Villa.
Fulham, meanwhile, climbed above Sunderland into the top half of the table after becoming just the second visiting side to win at the Stadium of Light this season.
Crystal Palace eased the rising discontent at Selhurst Park with just a second win in 16 games, beating 10-man Wolves 1-0. (AFP)
Edited by Cecil Wong
