Mathematica Simplify Roughly Knowing What The Answer Should Be
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How to | Refine and Simplify Expressions
The Wolfram Language provides tools to simplify a diverse range of mathematical expressions to make them easier to understand, or more efficient to compute.
You might recognize this as a classic example of an expression with a simpler form, namely 
. However, with a variable, it is left alone:
If you use a number instead of a variable, this simplifies as you would expect:
Use Refine to simplify this expression as though x were a real number by using Element and Reals:
Simplify can also be used to this end. The primary difference between Refine and Simplify is this: Refine must have assumptions and performs only those basic simplifications which would be automatic for numeric inputs, while Simplify performs a wider range of simplifications and may be used without assumptions.
The Wolfram Language does not simplify 
automatically:
Simplify gives you this familiar identity:
Tutorials
- Simplification
- Simplifying with Assumptions
- Using Assumptions
Related Links
- How to: Do Algebraic Calculations
See Also
Refine Simplify Reals Element
Related Guides
- Formula Manipulation
- "How to" Topics
Mathematica Simplify Roughly Knowing What The Answer Should Be
Source: https://reference.wolfram.com/language/howto/RefineAndSimplifyExpressions.html
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