How do you use square brackets to indicate missing text in quoted material?

I'll pretend I'm interviewing a celebrity, and I ask her "What do you think of Kate Hudson?"

The celebrity says, "I think she is a fantastic actress with a great personality."

If I wanted to quote this out of context (ie. I don't want to write the question I asked her before I write her answer), I could replace the Word "she" with "Kate Hudson."

You would write the quote as follows:

This celebrity says, "I think [Kate Hudson] is a fantastic actress with a great personality."

Another way:

If we were interviewing Kate Hudson's husband, for example, and he said, "I think my wife is amazing."

You could write the quote as: "I think my wife [Kate Hudson] is amazing."