Mourinho's side let their football do the talking after a controversial week when the Portuguese coach was sent off during Wednesday's 1-1 stalemate at Villarreal for criticising the referee.
Jose Mourinho's side let their football do the talking after a controversial week when the Portuguese coach was sent off during Wednesday's 1-1 stalemate at Villarreal for criticising the referee.
Mourinho was banned from the bench for the game at the Bernabeu but two goals each from Cristiano Ronaldo and Karim Benzema and one from Gonzalo Higuain lifted Real to 75 points with nine matches remaining.
Barca have 69 points in second after Lionel Messi's free kick set them on their way to a 2-0 victory at Real Mallorca, the Argentine World Player of the Year's 18th goal in his last nine games for his club.
Real Madrid went for all-out attack against 14th-placed Real Sociedad, with strike partners Benzema and Higuain getting a rare start together and supported by Ronaldo and Kaka.
Benzema set up Higuain for the opening goal in the sixth minute, Ronaldo added a second just after the half hour and Benzema made it 3-0 five minutes before halftime.
Real Sociedad pulled a goal back a minute later when Xabi Prieto's long-range effort flew into the top corner after taking a deflection off the head of Sergio Ramos before Benzema and Ronaldo made it 5-1 with goals early in the second period.
"The match the other day (at Villarreal) was a strange one and finished in a very tense atmosphere," Real Madrid director Emilio Butragueno said in a television interview.
"Today I think we turned in a very complete performance, especially in the first half, and that was good news. "We still have a six-point lead and if the team performs to its potential I have to say I am pretty optimistic."
No Real Madrid player gave the customary interview to Spanish television after the match and the club decided that Mourinho's assistant Aitor Karanka would not hold a post-match news conference.