But who caught the eye for the Blades? Our man Danny Hall offers his player ratings from the game.
5. John Lundstram 8
Good in the first half, excellent second half. Put his foot in when required and broke up the play in midfield when Chelsea looked to play quickly. Having a great season so far Photo: James Wilson
6. Callum Robinson 9
A goal and an assist will represent an excellent afternoon's work from the striker, who ran his blood to water and looked to have nothing left by the end when United were booting the ball clear. Showed good character to respond to first-half missed chance. Said he'll claim the second goal too! Photo: James Wilson
7. Oli McBurnie 6
Didn't quite grasp the chance he was handed after his first goal of the season last season and talked his way into the referee's notebook after an aerial challenge with Zouma. Replaced by McGoldrick Photo: Simon Bellis
8. SUBS: David McGoldrick 7
Lost his place from last week but came on for McBurnie. Showed some neat touches when he dropped deep to link play Photo: Simon Bellis