Difference between revisions of "Sum and difference of powers"

 
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==Factored Forms of Sums and Differences of Cubes==
 
==Factored Forms of Sums and Differences of Cubes==
 
* <math> a^3 + b^3 = (a+b)(a^2-ab+b^2)</math>
 
* <math> a^3 + b^3 = (a+b)(a^2-ab+b^2)</math>
* <math>a^3-b^3 = (a-b)(a^2+ab+b^2)
+
* <math>a^3-b^3 = (a-b)(a^2+ab+b^2)</math>
  
 
==See also==
 
==See also==
 
* [[Factoring]]
 
* [[Factoring]]
 
* [[Difference of Squares]]</math>
 
* [[Difference of Squares]]</math>

Revision as of 20:24, 8 July 2007

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The Sum and Difference of Cubes identities refer to two powerful factoring techniques that, respectively, factor a sum of cubes and a difference of cubes.

Factored Forms of Sums and Differences of Cubes

  • $a^3 + b^3 = (a+b)(a^2-ab+b^2)$
  • $a^3-b^3 = (a-b)(a^2+ab+b^2)$

See also