ORCHARD PARK, N.Y. — Linebacker Nigel Bradham was one of the last players to leave the Bills locker room after Sunday’s 40-32 Patriots beatdown of his Bills at Ralph Wilson Stadium.

He stood patiently with reporters, trying to explain how the Buffalo defense allowed New England quarterback Tom Brady to complete 38 of 59 passes for 466 yards and three touchdowns when the Buffalo defense knew what was coming.

The 466 yards marked the most passing yards the Bills have allowed in their 55-year history.

“Their offense is simple,’’ Bradham said. “They run the same plays. Brady just gets the ball out so quickly. We knew what was coming. We just couldn’t stop it.’’

Brady was sacked only twice for 15 yards in losses on his 59 dropbacks.

“He wasn’t holding onto the ball long enough to allow our pass rush to get there,’’ Bills defensive back Bacarri Rambo said.

“Oh man, it was frustrating, he was getting it out there so quick,’’ Bills linebacker Jerry Hughes said.

The amazing part of New England’s 507-yard offensive output was how rattled the Patriots looked on their first possession with the sold-out crowd raging, even burning a timeout on third down.

“The game’s not won on the first series, like you saw [Sunday],’’ Brady said.

The Patriots, with a 24-point lead in the fourth quarter, kept throwing passes out of the hurry-up offense instead of running it, eating the clock and keeping the ball away from the Bills’ offense.

“We can’t control what they do,’’ Bills defensive back Nickell Robey said. “If they want to throw the ball 80,000 times a game, they can do that.’’