The win was Bracknell's fourth in a row in South West One East and keeps them top of the table, albeit now on points difference as they failed to collect a four-try bonus point.
Nearest challengers Old Centralians saw off Marlow 29-13 to move level on 49 points with the Lily Hill men at the summit.
But despite not taking maximum points from the home game, Greenslade-Jones was more than happy with his team's performance.
"We played very well, we dominated the game in attack and defence. Unfortunately in the last half we didn't take advantage of all the chances that came our way," he told the News.
"They were never in the game, we dominated from the first whistle to the last, it was an outstanding defensive display, even though they scored two tries."
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