When factoring polynomials, there is the difference and sum of cubes. The difference of cubes takes the form: a³ - b³, and can be factored into (a - b)( a² + ab + b²). Thus, if an expression resembles a³ - b³, then (a - b) is a factor; use long division to find the remaining factor(s).

The sum of cubes takes the form a³ + b³, and can be factored into (a + b)(a² + ab + b²). Thus, if an expression resembles a³ + b³, then (a + b) is a factor. Again, use long division to find the remaining factor(s).