To add a Delphi unit to you project you need to add it to one of the uses clauses in each unit file where it will be referenced.
The structure of a unit file is:
unit <unitname>;
interface
uses <files>;
//interface declarations
implementation
uses <files>;
//code here
end.
Each uses statement takes a comma separated list of unit names, so for you this would be
uses FMX.Extensions.UX.TabControl;
As a general rule you should place the units in the uses statement of the implementation section unless anything in your interface section references it, in which case us that in your interface section. Units referenced in your interface section can lead to issues with circular unit references.
Depending on where you save the file you may also need to add it's location to your library, either under Tools/Options/Delphi Options/Library/Library Path (for all projects) or Project/Options/Delphi Compiler/Search Path (current project only).
(I would recommend saving third party code in it's own folder so you have a record of what code comes from where).
The code you are including adds components which are used at design time. These components need registering with the IDE, which @norgepaul has explained how to do. If you use these components at design time then Delphi will add them to your uses clause for the form for you.