Microsoft Office is commercially licensed software developed by Microsoft to generate revenue, while OpenOffice is open-source software developed collaboratively by volunteers and distributed for free. Some key differences are that OpenOffice costs nothing for both the initial software and future updates, allows users to modify the source code, and uses open standards, while Microsoft Office offers more extensive support and a more polished interface due to Microsoft's large developer base and financial incentives. Both work on modern computers, but OpenOffice has better support for older machines and operates on more platforms like Linux.