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They then took the lead they deserved in the 23rd minute, when Glenn Murray guided a header into the back of the net.
Although they continued to pin Blackpool in their own half, they struggled to create any more clear-cut chances as they went into the break just a goal up.
After a limp showing in the first half, Blackpool came close to finding an equaliser when Edu Oriol's deflected strike dropped just wide of the post and from the resulting corner, a header flew narrowly wide.
It was soon two though, as Jake Taylor headed into an empty net to continue Blackpool's woes.
In stoppage time, substitute Nick Blackman put a gloss on the result with a coolly dispatched penalty.