The main difference between the `append()` and `extend()` methods for lists in Python is the way they add elements to the list.

The `append()` method adds an element to the end of the list, while the `extend()` method adds all the elements from another iterable (such as a list or tuple) to the current list. In other words, `append()` inserts one item at a time, whereas `extend()` adds multiple items at once.

For example:

     # Using append()
     my_list = [1]
     my_list.append(2) # my_list is now [1, 2]
     my_list.append(3) # my_list is now [1, 2, 3]
     
     # Using extend()
     my_list = [4, 5, 6]
     my_list.extend([7,8])  # my_list is now [4, 5, 6, 7, 8]
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