Unfortunately not, unless you have the Microsoft Product Identity card there's no external record of Office 2010 keys. Something Microsoft's been fixing with Office 2016 as they make you register for an Office Online Account with that version.
After resetting my laptop I lost all apps that came with it. Including Office 2010 Student edition. Thats really all I need. Is there any way to get it back or am I out of luck. Seems lame that I can't have the software that I presumeably paid for when I bought the Laptop.
How can I reinstall Office 2010 student edition that came with my Dell Laptop