Mohammad and Coyolt, your questions have already been asked and answered in previous posts but I will repeat here and add some detail.
Mohammad, yes you can use this version as long as it is for the same edition, Home Premium keys only work on Home Premium, Pro keys on Professional, Ult keys on Ultimate. However this edition is the true Microsoft release and will not have the extras the manufacturer installed. 90% of that is garbage they get paid to install, such as test copies of anti-virus software, Microsoft Office, etc, but there is usually a useful piece of software or two. Example: software to make volume and brightness display in the screen or software to make the extra buttons work, or software like NERO, etc; these will NOT be included in the version you get here. You should extract the license keys BEFORE reformatting, if any (Nero needs a key, the other two I mentioned wouldn't), for all these products that you hope to reinstall (try SIW in our Freeware DB for getting the licenses). And then you need to download this software from the laptop manufacturer or get trial versions from the software company and try to activate them with the keys you extracted. If it doesn't work then you may need to find alternatives or do without.
Coyolt, Yes it will work but some question has been raised as to whether it is legal. I've never heard of Microsoft complaining about it if you have to call them to reactivate but it may not be lawyer-approved as OK to do and still be with-in the licensing agreement. See also the notes to Mohammed about differences in this version versus OEM.