SUE, GAZE, ARE, MEMO

To the above words you can add 2 letters to form new words.
The letters added to the words form an 8 letter word by themselves.

What are the new words formed?
And what is the 8 letter word formed by the letters used?

Note:
The 2 letters used for all the above mentioned words need not be the same
For the 8 letter word- Same order as they are inserted for the given 4 words

(Question open till end of 10th June, if any doubts on question- post them, will clear it)