I am terribly sorry for the mistake I made.

我对我犯的错误感到非常地抱歉。

I am terribly sorry about the terrible mistake I made in the letter.

有关信件上的错误我感到很抱歉。

Waiter: I am terribly sorry! I will take the soup back to the kitchen and get you another one.

服务生：我很抱歉！我会把汤拿回去并且为您准备一份新的。

WAITER: I AM TERRIBLY SORRY! I WILL TAKE THE SOUP BACK TO THE KITCHEN AND GET YOU ANOTHER ONE.

服务员：非常抱歉！我会把汤带回厨房再给你拿一份。

Gordon: Please hold...Again I am terribly sorry, no one is in at the moment. Would you like to leave a message for them?

戈登：请等一会儿……我再一次感到十分抱歉，现在会计部没有人。你想给他们留言吗？