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Multiplication Table (+3) ( + x + 9 ) = [ (+3) * (+x) ] + [ (+3) * (+9) ] = 3x + 27 Example 2: ( x + 2 ) ( x - 5 ) ( + x + 2 ) ( + x - 5 )
Multiplication Table = [ x * x ] - [ x * 5 ] + [ 2 * x ] - [ 2 * 5 ] = x2 - 5x + 2x - 10 = x2 + [- 5x + 2x] - 10 = x2 - 3x - 10 Example Problems Using the Vertical Format : Example 1: ( x + 2 ) ( x - 5 ) ( + x + 2 ) ( + x - 5 ) + x − 5 x + x + 2 2 x
−
10
x2
−
5
x
_____________ x2 − 3 x − 10 Example 2: ( x + 2 ) ( x2 + x - 5 ) ( + x + 2 ) ( + x2 + x − 5 ) + x2 + x − 5 x + x + 2
+ 2
x2
+
2 x
−
1 0
+
x3
+
x2 −
5 x
_______________________ x3 + 3 x2 − 3 x − 1 0
Free Resources Distributive Law Expression Calculator http://www.algebrahelp.com/calculators/expression/oops/ Flash Cards http://www.studystack.com/flashcard-1870 Videos http://mathtrain.tv/podcast/?tag=distributive-property http://www.mefeedia.com/entry/introduction-to-the-distributive-property/15983103 http://www.mathatube.com/properties-distributive-box-mothed.html Video for the Deaf (Signing) http://www.shodor.org/deafstemterms/distributive_property Sample Problems http://www.studystack.com/studytable-1870 Use "FireFox" Browser if any of the websites listed above do not display properly on Internet Explorer
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