United's U18s made it two wins from two in 2017 with a deserved victory over Hull City at Shirecliffe.
Second-half goals from George Cantrill, David Parkhouse and Tyler Smith were enough to see off the Tigers at the SteelPhalt Academy, with all four goals coming in the second period.
The victory leaves United's youngsters a point behind leaders Nottingham Forest with two games in hand and five points clear of third-placed Huddersfield Town.
United had the game's first real chance in the 14th minute, Burton freed Smith down the right and from his cross Greaves saw his goal bound effort deflected behind for a corner.
The Blades continued to press for the opening goal and after a succession of corners, only the linesman's flag denied Burton following a swift move. In response, City rarely troubled the home side, although they were a live threat on the break.
United and in particular Smith were quickly out of the blocks after half-time and in the 63rd minute, from his cross CANTRILL rose highest to head home.
And the Blades doubled their advantage nine minutes later, with Smith again involved. From his shot, PARKHOUSE reacted quickest to the rebound to score from close range.
United were now firmly in the ascendency and they put the game beyond the visitors with 16 minutes remaining. From Brown's deep cross SMITH headed back across goal and into the net, to get the strike his efforts deserved.
The only blemish on the game for United, was the late concession of a goal four minutes from time, but it never threatened the outcome of the contest.
Blades: Warhurst, Charlesworth, Brown, Ford, Cantrill, Cummings, Smith (Ackroyd 78), Doherty, Burton (Portman 74), Stewart (Parkhouse 57), Greaves.
Unused: Drewhurst, Graham.