Brett Pitman scored a hat-trick, with two of his goals coming from the penalty spot, to give the Cherries an easy win, with Ryan Colclough scoring Crewe's consolation effort.
Preston shared an entertaining 2-2 draw with Coventry City.
Graham Cummins opened the scoring for the home side on the half-hour mark, but Coventry levelled through Leon Clarke seven minutes later before going in front just after half-time through Chris Robertson's own goal.
Nicky Wroe undid the damage just five minutes later to make it 2-2, and the match ended in a draw.
Colchester beat Walsall 2-0 thanks to two late goals, with Jabo Ibehre breaking the deadlock 11 minutes from time and Fred Sears making the game safe in the 89th minute.
Leyton Orient hung on to beat Notts County 2-1 in another game that was goalless for the first hour.
David Mooney and Mathieu Baudry scored within three minutes of each other for Orient just after the hour mark, but though Jeff Hughes pulled one back 12 minutes from time the home side hung on for all three points.
Carlisle were held to a 1-1 draw by Scunthorpe, with Carlisle's David Symington cancelling out Karl Hawley's opener for the visitors.
Shrewsbury Town were also held to a draw as their match against relegation-threatened Bury finished 0-0.
And finally, Portsmouth's misery continued as they were beaten 3-1 by Championship basement club Hartlepool at Fratton Park.
Jack Baldwin, James Poole and Greg Rutherford all scored as Hartlepool earned what was only their third win of the season, with Pompey's Jed Wallace pulling one back for the home side.
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- Leyton Orient