Often, people have two tendencies, one for themselves and another for others.
An elephant also has two tusks, one for showing and the other for chewing. It never shows the one it uses for chewing, and it never uses the one it shows for chewing.
Similarly, people have two tendencies, they do not show who they are and they are not what they show.
But Ganesha is not like that, it is Ekdanta, which has many meanings; danta means the one who gives, he is the only daata, giver.
Ekadanta can also also mean someone who has one target, lakshya, and one face. All these qualities are focused into one, ekadanta.