To be able to show/hide columns in the table view, you need to switch the board view to the table or task template table view.
By right-clicking the name of the task in the table or task template table view, you have an option of which column you want to hide or show in the table. If you want to hide some columns just unselect name of the columns that you do not want to track.
Once you have selected or unselected which columns you want to track, you need to click out of the open bar to save information.