Recursive Function - Compare 2 lists, return the elements that don't exist in both

[KellyBaptist]

I have to do a RECURSIVE FUNCTION, comparing two lists and returning the elements that they don't have in common.

This is what I have so far:

def compare(list1, list2):
    if list2[0] in list1:
        list1.remove(list2[0])
        return compare(list1[1:], list2[1:])

    return list1  

#Example 
 >>>>compare([2, 3, 4, 5], [2, 3])
 [4, 5]

I can compare if the first element of the list (list[0]) is the same but I am having trouble on how to compare the elements if they are not in the first position...I've tried many options but I'm a begginer in programming and don't really know how to do it. It must be a RECURSIVE FUNCTION, I can't use FOR or WHILE. And is there any way that I can do it without using remove()? Thank you so much