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for‧mal‧ly

1 officially [≠ informally]:
We announced a decision formally recognizing the new government.
We announced a decision formally recognizing the new government.2 in a polite way [≠ informally]:
He put his hand out formally, and Liza took it.
'I apologize, Captain,' she said formally.
He put his hand out formally, and Liza took it.
'I apologize, Captain,' she said formally.