## Algebra## Polynomial Equations |

## What is the difference and sum of cubes? |

When factoring polynomials, there is the difference and sum of cubes. The *difference of cubes* takes the form: a^{3} - b^{3}, and can be factored into (a - b)( a^{2} + ab + b^{2}). Thus, if an expression resembles a^{3} - b^{3}, then (a - b) is a factor; use long division to find the remaining factor(s).

The *sum of cubes* takes the form a^{3} + b^{3}, and can be factored into (a + b)(a^{2} + ab + b^{2}). Thus, if an expression resembles a^{3} + b^{3}, then (a + b) is a factor. Again, use long division to find the remaining factor(s).