Is there anything diference between them?
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3You're aware of the grammatical difference, right? You're asking about the difference between "thing that you eat" and "food". Perhaps you could clarify your question. For example, Is there a specific context where you think they might be interchangeable? – user3856370 Feb 9 at 11:02
Native Japanese speaker here. "食べる物" is a phrase and is totally different from "食べ物". "食べる物" means "something to eat"; there is a noun and a verb in that phrase. On the other hand "食べ物" generally means "food", and it's considered one word.
Same with "飲み物" and "飲む物"; "飲み物" is one word meaning "drink", and "飲む物" is a phrase, meaning "something to drink".
If you're ever stuck on whether you should use 食べ物 or 食べる物, I think it would be safest to go with 食べ物, or search it up on the spot because different situations require different types of phrases.