FBReader does not support DRM. In principle Open Source applications can't support DRM because if a vendor updates its source code (e.g. to add DRM) that source code must be released to the device owners. This typically defeats the purpose of the DRM.
The only exception to the code release requirement is that the owners of the copyright can also release a variant of the same code under a different license. The authors of FBReader have left this possibility open, but so far as I know it has never been used.
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