8. Factor

*a*^{3} - *b*^{3}

The thing to remember about factoring a difference
of cubes is that one of
the factors is *a* - *b*. One can them use long division of polynomials to find the other factor.

so

*a*^{3} - *b*^{3} = (*a* - *b*)(*a*^{2} + *ab* + *b*^{2})