How to report qualified education expenses on both my daughter and my return

I have read a lot of similar situations in this community posts however I'm still a little confused.

Received 1098 T with box 1  $31,000 and box 5   $42,000

Paid out of pocket for books and materials: Bought from the school $800

                                                                               Bought not from school  $ 1,000

I reported the 1098 T on my daughter's return and TurboTax calculated the taxable scholarship

$11,000 and showed it on Schedule 1 on line 8r

On my return, I reported the $ 1,800 out-of-pocket qualified education expenses and got some AOTC.

 

Question: Is the $1,800 out-of-pocket qualified expenses need to be deducted from my daughters

return?    $11,000 - $1,800 = 9,200. Instead of 11,000 should  it be $9,200

If the $1,800 need to be reported on my daughters return then do I need to remove that amount from my return?

1. Do I need to reduce the taxable shcolarchip by $1,800 on my daugthers return

2. If so where do I show that amount on my daughters return

3. Do I need to remove the $1,800 from my return

 

Thank you!