The two programs are very similar. For the record, I use Open Office 40 hours a week at work, and find it stable, feature rich, and easy to use. For a good article assessing the differences in detail, go to http://software.newsforge.com/software/05/06/14/2137222.shtml?tid=152&tid=93 I know that's a long link, but it goes to a fairly comprehensive article on the topic at Newsforge. Bookmark Newsforge while you're there. Great place to catch up on things.
Open Office is open source. If you purchase word etc, you will get support for it in the package (like anyone ever uses that). Open Office is free! You pay for any support you want outside of forums. Realistically, they operate in a very similar way.
If you are asking what the differences are between Libre Office Writer and Microsoft Word, then the difference primarily is in the way the user interfaces looks. However, they do basically the same things and Libre Office Writer is compatible with Microsoft Word & vice versa. The added bonus to using Libre Office Writer is that it is free.
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