Difference between revisions of "Simplify Command"

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<noinclude>{{Manual Page}}[[Category:Manual (official)|{{PAGENAME}}]]</noinclude>
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|algebra}}
; Simplify[Function]: Simplifies the terms of the given function, if possible.
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;Simplify( <Function> )
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:Simplifies the terms of the given function, if possible.
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:{{example| 1=<code><nowiki>Simplify(x + x + x)</nowiki></code> yields the function ''f(x) = 3x''.}}
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;Simplify( <Text> )
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:Attempts to tidy up text expressions by removing repeated negatives etc.
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:{{example| 1=For ''a'' = ''b'' = ''c'' = -1 <code><nowiki>Simplify("f(x) = " + a + "x² + " + b + "x + " + c)</nowiki></code> yields the text ''f(x) = -x<sup>2</sup> - x - 1''.}}
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:{{note| <div>The [[FormulaText Command]] normally produces better results and is simpler.</div>}}
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{{note|<div>This command needs to load the Computer Algebra System, so can be slow on some computers. Try using the [[Polynomial Command]] instead.</div>}}
  
<div class="note">Examples:  
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== CAS Syntax ==
* <tt>Simplify[x + x + x]</tt> gives you a function ''f(x) = 3x''.
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;Simplify( <Function> ):Simplifies the terms of the given function, if possible. Undefined variables can be included in the terms.
* <tt>Simplify[sin(x) / cos(x)] </tt>gives you a function ''f(x) = tan(x)''.
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* <tt>Simplify[-2 sin(x) cos(x)]</tt> gives you a function ''f(x) = sin(-2 x)''.
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:{{examples|<div>
</div>
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:*<code><nowiki>Simplify(3 * x + 4 * x + a * x)</nowiki></code> yields <code> ''a x'' + ''7x''</code>.
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:*<code><nowiki>Assume(x<2,Simplify(sqrt(x-2sqrt(x-1))))</nowiki></code> yields <code>-sqrt(abs(x - 1)) + 1</code>
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:*<code><nowiki>Assume(x>2,Simplify(sqrt(x-2sqrt(x-1))))</nowiki></code> yields <code>sqrt(x - 1) + 1</code></div>}}
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:{{Note|1=See also [[Factor Command]], [[Assume Command]], [[PartialFractions Command]], [[Expand Command]], [[Polynomial Command]].}}

Latest revision as of 20:33, 15 May 2019


Simplify( <Function> )
Simplifies the terms of the given function, if possible.
Example: Simplify(x + x + x) yields the function f(x) = 3x.
Simplify( <Text> )
Attempts to tidy up text expressions by removing repeated negatives etc.
Example: For a = b = c = -1 Simplify("f(x) = " + a + "x² + " + b + "x + " + c) yields the text f(x) = -x2 - x - 1.
Note:
The FormulaText Command normally produces better results and is simpler.
Note:
This command needs to load the Computer Algebra System, so can be slow on some computers. Try using the Polynomial Command instead.

CAS Syntax

Simplify( <Function> )
Simplifies the terms of the given function, if possible. Undefined variables can be included in the terms.
Examples:
  • Simplify(3 * x + 4 * x + a * x) yields a x + 7x.
  • Assume(x<2,Simplify(sqrt(x-2sqrt(x-1)))) yields -sqrt(abs(x - 1)) + 1
  • Assume(x>2,Simplify(sqrt(x-2sqrt(x-1)))) yields sqrt(x - 1) + 1
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