# 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 13:06, 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See Simon's Favorite Factoring Trick (This is not a recognized formula, please do not quote it on the USAMO or similar national proof contests)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.