Difference between revisions of "Common factorizations"

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*<math>\displaystyle x^3-y^3=(x-y)(x^2+xy+y^2)</math>
 
*<math>\displaystyle x^3-y^3=(x-y)(x^2+xy+y^2)</math>
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*<math>\displaystyle (a+b+c)^3=a^3+b^3+c^3+3(a+b)(b+c)(a+c)</math>
  
 
More common factorizations can be found [http://tutorial.math.lamar.edu/pdf/Algebra_Cheat_Sheet_Reduced.pdf here].
 
More common factorizations can be found [http://tutorial.math.lamar.edu/pdf/Algebra_Cheat_Sheet_Reduced.pdf here].

Revision as of 16:00, 20 June 2006

These are a few special common factorizations, please add more:

  • $\displaystyle x^2-y^2=(x+y)(x-y)$
  • $\displaystyle x^3+y^3=(x+y)(x^2-xy+y^2)$
  • $\displaystyle x^3-y^3=(x-y)(x^2+xy+y^2)$
  • $\displaystyle (a+b+c)^3=a^3+b^3+c^3+3(a+b)(b+c)(a+c)$

More common factorizations can be found here.