Willy Gnonto opened the scoring in the 16th minute with a superb shot from Junior Firpo’s cross.
Right-back Jayden Bogle, a summer signing from Sheffield United, found the net four minutes into the second half to claim his first goal for the Whites.
And substitute Joel Piroe tapped in a third for Farke’s men on the counter-attack from Gnonto’s cutback 11 minutes from time.
Leeds could have won by a greater margin, but their latest win keeps them riding high in the play-off places.
Farke said: “It was a very good performance, a very mature performance, and we were excellent in the first half.
“Our pressing, our counter pressing was spot on, we scored excellent team goal and created many chances.
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