Students will learn the formula for the sum of cubes, and the formula for the difference of cubes. Students will also learn how each formula is derived. Then they'll use each formula to expand and factor various expressions. Students will use this skill in the future, when learning to evaluate limits of rational functions. Conclude by giving your students this challenge. The problem was meant to be solved in 90 seconds, but I personally wouldn't enforce that.
Conclude by giving your students these challenges: