[Grammar] Haven't been or haven't gone out?

[meridiem]

Please tell me what the correct use is, haven't been out or haven't gone out.

We ....................(not,go) out much in the evenings yet.

*How can I best explain the difference to my students?
*I made a mistake and told them, the answer is gone out. How can I fix it?

Thanks in advance.

 

[5jj]

Both are possible, with not a great deal of difference in meaning.