Simplify

Pronunciation: /ˈsɪm pləˌfaɪ/ ?

To simplify is to convert to a simpler form. When simplifying an expression, we change it or convert it to a simpler form. The table in figure 1 shows an example of simplification.

ExpressionRule Being Used
3(x+2)-(3x-3)+(4-x)
3x+6-(3x-3)+(4-x)Distributive property of multiplication over addition and subtraction.
3x+6-3x+3+(4-x)Distributive property of multiplication over addition and subtraction.
3x+6-3x+3+4-xDistributive property of multiplication over addition and subtraction.
3x-3x+6+3+4-xCommutative property of addition.
3x-3x+6+3-x+4Commutative property of addition.
3x-3x+6-x+3+4Commutative property of addition.
3x-3x-x+6+3+4Commutative property of addition.
3x-3x-x+6+3+4Commutative property of addition.
-x+13Combining like terms.

Figure 1: Table showing simplification of 3(x+2)-(3x-3)+(4-x).

References

  1. Bettinger, Alvin K. and Englund, John A.. Algebra and Trigonometry, pg 17-21. International Textbook Company, January 1963. (Accessed: 2010-01-12). http://www.archive.org/stream/algebraandtrigon033520mbp#page/n18/mode/1up.
  2. simplify. http://wordnet.princeton.edu/. WordNet. Princeton University. (Accessed: 2011-01-08). http://wordnetweb.princeton.edu/perl/webwn?s=simplify&sub=Search+WordNet&o2=&o0=1&o7=&o5=&o1=1&o6=&o4=&o3=&h=.

Cite this article as:


Simplify. 2008-09-14. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/s/simplify.html.

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2008-09-14: Added 'More Information' (McAdams, David.)
2007-07-12: Initial version (McAdams, David.)

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