State the differences between an expression and its simplified equivalent.

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arroww
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State the differences between an expression and its simplified equivalent.
 

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The main difference that comes to my mind is that of removable singularities. For example, consider:

$$f(x)=\frac{x}{x}$$

This is the same as :

$$f(x)=1$$ where $$x\ne0$$
 
arroww said:
State the differences between an expression and its simplified equivalent.
The only think that I can say is that the second expression is presumably simpler. Unfortunately, it is not possible to answer this question outside the context of a particular course or book. This context must provide definitions for such concepts and "expression", "simplified" and "equivalent". I would guess the course or book also give a number of examples of simplifications that can help answer the question.