The difference between "try to do sth." and "try doing sth." is very subtle. This answer may take some effort to fully grasp the idea. Please read it very carefully, so you can feel the nuanced difference.
Somebody also mentioned "try and do sth." in their answer. I will clarify that too.
Try to do sth. implies the task is difficult or impossible. If used in the past tense "He tried to make a cake," it means he failed or wasn't confident with the result.
Try doing sth. is a suggestion to do something to make a situation better. If used in the past tense, "He tried making a cake to make her happier," it is unclear whether he was able to make a cake and whether it made her happier (whether he was successful).
Try and do sth. is not something I would say. It's a colloquialism (a slang term, see if you can pronounce it :p), so don't use it in formal writing. Often, it means the same as "try to do sth.", BUT not always.
Also, you CANNOT use "try and do sth." to replace "try to do sth." in the past tense, unless you use a word like "succeeded" or "achieved" to emphasize a positive outcome.
Here is a conversation to help you feel the difference among these expressions:
I tried answering the question to help you understand them better.
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