I can say without a single doubt that both games are worth trying
My teacher crossed "them" out. Now I need to know why my sentence was wrong.
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It's not about "trying out", it's about "worth".
"Worth" (in this case) takes the subcategorisation frame (it can have others):
worth VP-ing NP
However the "NP" (which is the object of the VP-ing) is deleted if it is already in the matrix clause (the containing clause).
The game is worth playing.
The town is worth visiting.
This speaker is worth waiting for.
When the object is not expressed in the matrix clause, (most commonly because the dummy subject "it" is used), it needs to be expressed in the dependent clause:
It is worth playing the game.
It is worth visiting the town.
It is worth waiting for the speaker.