经典表达：

Please accept my deep apologies.

请接受我诚挚的道歉。

举一反三：

I apologize for what happened.

I apologize for my mistake.

I must apologize for what I said about that.

I want to apologize for being late.

You have my sincere apology.

I beg your pardon.

I must ask your pardon for my carelessness.

Please forgive me.

Will you ever forgive me?

I’m terribly sorry about that.

I’m sorry for giving you so much trouble.

I hope you will excuse me.