I'm sorry _____(cause) you so much trouble.

I'm sorry _____(cause) you so much trouble.
I'm sorry _____(cause) you so much trouble.

I'm sorry _____(cause) you so much trouble.
I'm sorry (to cause) you so much trouble.

for having caused
很抱歉给你带来这么多麻烦。
sorry to do是还没发生或者即将发生的事
sorry for doing是已经发生的事