What is the difference between 'Use' and 'Make use of'?

Question

When should I use both?

E.g.:

To use something.

vs

To make use of something.

Answer 1

Technically they are the same but there is perhaps a slight implication with the latter that the something in questions is not being used, being underused, or would henceforth not be used and that one is taking advantage of an opportunity. For example:

I used the eggs.

pretty straight forward.

I made use of the eggs.

implies, perhaps that they would have gone bad had I not used them or that no use had been thought of previously.