You would like to check if there have been any changes to the translation text for a task in SDL TMS for both Active and Archived Jobs

1. For Active Jobs, Translation history can be checked as below:
You can use the Translation History report which would show the differences. You can find the report in Reports > Management Reports > Translation History


2. For Archived Jobs, navigate to Archived Job Summary Page and in the Task Summary Status click on the Filename that will provide you details of Translation/Segment History