If your child is older than 16 you get the $500 credit for other dependents--it is on line 19 of your Form 1040. It is non-refundable---it reduces tax you owe. And if he is a full-time student claimed as your dependent , you can enter the education credit on your own tax return.
https://ttlc.intuit.com/questions/1901172-what-are-education-tax-credits
https://ttlc.intuit.com/questions/3262983-who-is-eligible-to-take-the-american-opportunity-tax-credi...
AOC will be shown on line 29 of your Form 1040
https://ttlc.intuit.com/questions/3383321-why-didn-t-i-get-a-credit-or-deduction-for-education-expen...
https://ttlc.intuit.com/questions/1901526-what-s-the-income-limit-for-the-american-opportunity-and-l...
https://ttlc.intuit.com/community/credits-and-deductions/help/what-expenses-qualify-for-the-lifetime...
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