My ex and I off-set which year we claim our daughter. She claims in odd years and I claim in even years. Can both parents claim child care expenses?

My ex is claiming our daughter this year in 2017 and said she will be claiming child care expenses and wanted to know how much I paid towards our daughter's child care because she wants to claim that as well.  I'm reluctant to disclose that to her since I intent to claim child care expenses as well.  How does that work?  She has also asked me to complete a tax for 8332 and complete Section I.  I'm reluctant to do that as well since we currently have no signed agreement and go to court on 16 March for Custody.  She insists I can claim Child Care and so can she.  I think she is trying to set me up to be audited by having me complete the form and claim something that I won't be able too.  Does this sound right?