Processes in Microsoft 365 for setting up Office apps, redeeming product keys, and activating licenses.
The first image in the first link is too small, too low resolution to read. The second image indicates that the product is activated
The second link is better, yes it does not appear to be activated ...
How can I tell If My 2010 Office software is Activated
1. Start the application
2. Click the File tab / Office Button.
3. Click Help.
· If you don't see an Activate Product Key button, your software has been activated.
· If you do see an Activate Product Key button, your software hasn't been activated. You should follow the instructions in the "How do I activate at a later time" section.
Activation and registration of a Microsoft product http://support.microsoft.com/kb/326851
How do I activate Office at later time - http://office.microsoft.com/en-us/sharepoint-workspace-help/activate-office-2010-programs-HA010354227.aspx?CTT=1
If none of the other fixes work, do a phone activation. Do not enter anything until the phone system offers you the option to talk to a live service rep. Explain the problem to them. You are transferring the installation from a “dead” computer, or you are getting an invalid product key and would like to know the exact reason
How to find a phone number for a Microsoft Product Activation Center - http://support.microsoft.com/kb/950929
Alternate Activation Process - http://www.msoffice-tutorial-training.com/office-2010-activation.html