Simplify
Pronunciation: /ˈsɪm.pləˌfaɪ/ Explain
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.
Expression  Rule Being Used 
3( x + 2 )  ( 3x  3 ) + ( 4  x ) 
Equation to simplify. 
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  x 
Distributive property of multiplication over addition and subtraction. 
3x  3x + 6 + 3 + 4  x 
Commutative property of addition. 
3x  3x + 6 + 3  x + 4 
Commutative property of addition. 
3x  3x + 6  x + 3 + 4 
Commutative property of addition. 
3x  3x  x + 6 + 3 + 4 
Commutative property of addition. 
x + 13 
Combining like terms. 
Figure 1: Table showing simplification of
3 ( x + 2 )  ( 3x  3 ) + ( 4  x
).

References
 McAdams, David E.. All Math Words Dictionary, simplify. 2nd Classroom edition 201501084799968. pg 165. Life is a Story Problem LLC. January 8, 2015. Buy the book
 Bettinger, Alvin K. and Englund, John A.. Algebra and Trigonometry. pg 1721. www.archive.org. International Textbook Company. January 1963. Last Accessed 12/13/2018. http://www.archive.org/stream/algebraandtrigon033520mbp#page/n18/mode/1up. Buy the book
Cite this article as:
McAdams, David E. Simplify. 5/7/2019. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/s/simplify.html.
Revision History
5/7/2019: Changed equations and expressions to new format. (
McAdams, David E.)
12/21/2018: Reviewed and corrected IPA pronunication. (
McAdams, David E.)
12/6/2018: Removed broken links, updated license, implemented new markup. (
McAdams, David E.)
9/14/2008: Added 'More Information'. (
McAdams, David E.)
7/12/2007: Initial version. (
McAdams, David E.)