Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

Common factorizations

Revision as of 16:00, 20 June 2006 by Mysmartmouth (talk | contribs)

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.

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=Common_factorizations&oldid=3491"