Difference between revisions of "Simplify Command"

Latest revision as of 21:33, 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

@@ Line 1: / Line 1: @@
-<noinclude>{{Manual Page|version=4.2}}</noinclude>
+<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|algebra}}
-{{command|cas=true|algebra}}
+;Simplify( <Function> )
-;Simplify[ <Function> ]
 :Simplifies the terms of the given function, if possible.
-:{{example| 1=<div><code><nowiki>Simplify[x + x + x]</nowiki></code> yields the function ''f(x) = 3x''.</div>}}
+:{{example| 1=<code><nowiki>Simplify(x + x + x)</nowiki></code> yields the function ''f(x) = 3x''.}}
-;Simplify[ <Text> ]
+;Simplify( <Text> )
 :Attempts to tidy up text expressions by removing repeated negatives etc.
-:{{example| 1=<div>For ''a=b=c=-1'' <code><nowiki>Simplify["f(x) = " + a + "x² + " + b + "x + " + c]</nowiki></code> yields ''f(x)=-x^2 - x - 1''.</div>}}
+:{{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''.}}
-:{{note| 1=The [[FormulaText Command]] normally produces better results and is simpler.}}
+:{{note| <div>The [[FormulaText Command]] normally produces better results and is simpler.</div>}}
+{{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>}}
 == CAS Syntax ==
-;Simplify[ <Function> ]:Simplifies the terms of the given function, if possible. Undefined variables can be included in the terms.
+;Simplify( <Function> ):Simplifies the terms of the given function, if possible. Undefined variables can be included in the terms.
-:{{example|1=<br><code><nowiki>Simplify[3 * x + 4 * x + a * x]</nowiki></code> yields  ''x * a + 7 * x''  while...<br><code><nowiki>Factor[3 * x + 4 * x + a * x]</nowiki></code>  yields ''x * (a + 7)''.}}
-:{{Note|1=See also [[Factor Command]].}}
+:{{examples|<div>
+:*<code><nowiki>Simplify(3 * x + 4 * x + a * x)</nowiki></code> yields <code> ''a x'' + ''7x''</code>.
+:*<code><nowiki>Assume(x<2,Simplify(sqrt(x-2sqrt(x-1))))</nowiki></code> yields <code>-sqrt(abs(x - 1)) + 1</code>
+:*<code><nowiki>Assume(x>2,Simplify(sqrt(x-2sqrt(x-1))))</nowiki></code> yields <code>sqrt(x - 1) + 1</code></div>}}
+:{{Note|1=See also [[Factor Command]], [[Assume Command]], [[PartialFractions Command]], [[Expand Command]], [[Polynomial Command]].}}

Difference between revisions of "Simplify Command"

Latest revision as of 21:33, 15 May 2019

Simplify

Command Categories (All commands)

CAS Syntax