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IRS.gov Website
Publication 970
taxmap/pubs/p970-017.htm#en_us_publink1000178222

When Must the Credit Be Repaid (Recaptured)(p25)

rule
If, after you file your 2010 tax return, you or someone else receives tax-free educational assistance for, or a refund of, an expense you used to figure a lifetime learning credit on that return, you may have to repay all or part of the credit. You must refigure your lifetime learning credit for 2010 as if the assistance or refund was received in 2010. Subtract the amount of the refigured credit from the amount of the credit you claimed. The result is the amount you must repay. Add the repayment (recapture) to your tax liability for the year in which you receive the assistance or refund. See the instructions for your tax return for that year to find out how to report the recapture amount. Your original 2010 tax return does not change.
taxmap/pubs/p970-017.htm#en_us_publink1000178223

Example.(p25)

You paid $9,300 tuition and fees in December 2010, and your child began college in January 2011. You filed your 2010 tax return on February 15, 2011, and claimed a lifetime learning credit of $1,860. After you filed your return, your child dropped two courses and you received a refund of $2,900. You must refigure your 2010 lifetime learning credit using $6,400 of qualified education expenses instead of $9,300. The refigured credit is $1,280. Include the difference of $580 in the total on the "Tax" line of your 2011 Form 1040 or 1040A.