Distribute
Pronunciation: /dɪˈstrɪ.bjut/ Explain
To distribute is to expand an
expression
by multiplying through
parentheses.
Distributing uses the
distributive property of multiplication over addition and subtraction.
Examples
- 3(x - 2) = 3·x - 3·2 = 3x - 6
- (x + 2)(x - 3) =
x(x - 3) + 2(x -3 ) =
x·x + x·(-3) + 2·x + 2·(-3) =
x^{2} - 3x + 2x - 6 =
x^{2} - x - 6
References
- McAdams, David E.. All Math Words Dictionary, distribute. 2nd Classroom edition 20150108-4799968. pg 64. Life is a Story Problem LLC. January 8, 2015. Buy the book
- Chrystal, G.. Introduction to Algebra for the use of Secondary School and Technical Colleges. 3rd edition. pg 39. www.archive.org. Adam and Charles Black. 1902. Last Accessed 7/3/2018. http://www.archive.org/stream/introductiontoal00chryuoft#page/39/mode/1up/search/distribute. Buy the book
- Aley, Robert J. and Rothrock, David A.. The Essentials of Algebra for Secondary Schools. pp 45-47. www.archive.org. Silver, Burdett and Company. 1904. Last Accessed 7/3/2018. http://www.archive.org/stream/cu31924031286143#page/n56/mode/1up. Buy the book
More Information
Cite this article as:
McAdams, David E. Distribute. 4/20/2019. All Math Words Encyclopedia. Life is a Story Problem LLC. https://www.allmathwords.org/en/d/distribute.html.
Revision History
4/20/2019: Updated equations and expressions to the new format (
McAdams, David E.)
12/21/2018: Reviewed and corrected IPA pronunication. (
McAdams, David E.)
7/4/2018: Removed broken links, updated license, implemented new markup, implemented new Geogebra protocol. (
McAdams, David E.)
1/23/2010: Added "References", expanded description to include distributive property of multiplication. (
McAdams, David E.)
12/13/2008: Initial version. (
McAdams, David E.)