# Factoring Problem

1. Oct 1, 2006

### Rowah

Simple Factoring Problem

How do I factor $$a^5-32$$?

It isnt a difference of cubes or even a difference of squares :(

By the way, we're currently learning the factor theorem.

Last edited: Oct 1, 2006
2. Oct 1, 2006

### semc

let f(a)= $$a^5-32$$ .when x=2,f(a)=0 so a-2 is a factor of the funtion. suppose you know how to carry on since you learnt factor theorem?

3. Oct 1, 2006

Use the rule $$a^n-b^n=(a-b)(a^{n-1}+a^{n-2}b+a^{n-3}b^2+\cdots+ab^{n-2}+b^{n-1}), n \in \textbf{N}$$.