1) AB + BC + CD + DE
AB + BC = AC
→ AC + CD = AD
→ AD + DE = AE
2) AD + DC + CE + EM
AD + DC = AC
→ AC + CE = AE
→ AE + EM = AM
3) AD - AB + CB - CD
AD - AB → AD + BA = BD
CB - CD → CB + DC = DB
→ BD + DB = 0
4) AB + BC - OC + OA - 2AC + AD + DC
→ AC - OC = AC + CO = AO
→ AO + OA = 0
→ -2AC + AD + DC
= 2CA + AC
= 2CC = 0
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1) AB + BC + CD + DE
AB + BC = AC
→ AC + CD = AD
→ AD + DE = AE
2) AD + DC + CE + EM
AD + DC = AC
→ AC + CE = AE
→ AE + EM = AM
3) AD - AB + CB - CD
AD - AB → AD + BA = BD
CB - CD → CB + DC = DB
→ BD + DB = 0
4) AB + BC - OC + OA - 2AC + AD + DC
AB + BC = AC
→ AC - OC = AC + CO = AO
→ AO + OA = 0
→ -2AC + AD + DC
= 2CA + AC
= 2CC = 0