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There are a few file recovery/undelete apps in the Play Store. The device must be rooted though for any of those tools to work. Also, if the tablet has been in use since the file was removed there is a higher risk that the file has already been overwritten. In that case the file cannot be recovered.
there are several file recovery apps available on the app store you should give them a try. If nothing else has overwritten the file space I am sure there are chances you can recover it.