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Removing rows from dataframe that occurs in another dataframe

I have a problem with removing rows from dataframe that occurs in another dataframe. Below simple example and expected results.

df1

A B
Z 1
X 2
C 3
V 4

df2

A B
DD 66
Z 1
X 2
CC 55

Expected output, df2 but rows that occur in df1 are dropped.

new df2:

A B
DD 66
CC 55

Edit: I need to match both A and B.

IIUC, you can use a reverse merge with help of indicator=True :

(df2
 .merge(df1, how='left', indicator=True) # if unrelated columns use on=['A', 'B']
 .loc[lambda d: d.pop('_merge').eq('left_only')]
)

output:

    A   B
0  DD  66
3  CC  55

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