Can is used for present ability and possibility
I can dance. / I'm sorry, but I can't help you.
Can is informally used for offers and requests
Can I help you? / Can I make a suggestion?
Could is used for past ability and possibility ("We couldn't finish the project on time." / "She could read when she was three years old.")
Could is neutrally used for offers and requests ("Could you open the door for me, please?")
Be able to is used for present, past, and future ability and possibility ("Are you able to swim?" / "Were you able to swim?" / "Will you be able to swim?")
Be able to is also used to discuss the success or failure of an action ("We weren't able to find the book you wanted.")
Be able to can be used with other verbs, including modals ("She should be able to attend the conference." / "I want to be able to play the flute.")

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