In the regex tool, there is a checkbox called "copy unmatched text to output".
Unfortunately, if you are using regex from within the formula tool, this is not an option. It would be helpful if this could be added as an optional parameter in the regex formula i.e:
REGEX_Replace(String, pattern, replace, icase=1, unmatched=1)
Without this, regex outputs can sometimes be confusing, as string characters not specified by the pattern (unmatched) appear in the output. This confusion would be alleviated with the optional parameter.