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# Evaluation and simplification of an expression

--What is the difference between evaluation and simplification of an expression?
--3,4,5 are consecutive whole numbers. -13, -12, -11 are consecutive integers. Is it possible to write consecutive rational numbers? If yes, give an example. If not, explain why not.
--How does a term differ from a factor?

#### Solution Preview

--What is the difference between evaluation and simplification of an expression?

I will include an example to address this question. Consider the following expression where x is a variable.
(x^2-1)/(x^2-3x+2)
To simplify it, we want to cancel out all common factors of both top and bottom. So,
(x^2-1)/(x^2-3x+2)
=[(x-1)(x+1)]/[(x-2)(x-1)]
=(x+1)/(x-2)

But the evaluation of an expression is to find value for a certain value of x. For instance, evaluate ...

#### Solution Summary

The solution contains detailed explanation of the difference between evaluation and simplification of an expression.

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