Subdivision is the same method I used in my polygon mesh shape. It consists of cuttings that can then the become extra faces on the original cut shape face. This allows for more precise excursions and modelling. This especially helps when trying to change shapes geometry.
Smoothing is an illusion of a flat surface through the conciliation and multiplication of faces on a shape. For example, this head I created is made up of thousands of small faces that give the impression he is completely flat, this is called subdividing. After that I simply used another modifier called subdivision surface. This modifier allowed me to section big areas of the head, and use bigger faces in order to extrude them.
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