Difference between revisions of "Factoring"
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===Difference of Squares=== | ===Difference of Squares=== | ||
<math>a^2-b^2=(a+b)(a-b)</math> | <math>a^2-b^2=(a+b)(a-b)</math> | ||
| + | ===Difference of Cubes=== | ||
| + | <math>a^3-b^3=(a-b)(a^2+ab+b^2)</math> | ||
| + | ===Sum of Cubes=== | ||
| + | <math>a^3+b^3=(a+b)(a^2-ab+b^2)</math> | ||
===Simon's Trick=== | ===Simon's Trick=== | ||
See [[Simon's Favorite Factoring Trick]] | See [[Simon's Favorite Factoring Trick]] | ||
Revision as of 12:06, 18 June 2006
Note to readers and editers: Please fix up this page by adding in material from Joe's awesome factoring page.
Contents
Why Factor
Factoring equations is an essintial part of problem solving. Applying number theory to products yields many results.
There are many ways to factor.
Difference of Squares
Difference of Cubes
Sum of Cubes
Simon's Trick
See Simon's Favorite Factoring Trick (This is not a recognized formula, please do not quote it on the USAMO or similar national proof contests)
Summing Series
Also, it is helpful to know how to sum Arithmetic Series and Geometric Series.
