# Lesson Plan: Sum and Difference of Two Cubes Mathematics • Second Year of Preparatory School

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to factor the sum and the difference of two cubes.

#### Objectives

Students will be able to

- identify expressions that are sums or differences of two cubes,
- factor the sum of two cubes using the formula ,
- factor the difference of two cubes using the formula ,
- factor the difference of two squares that results in the product of a sum and a difference of two cubes that can then be factored subsequently,
- factor the sum and the difference of two cubes after removing a common factor from each term and factor expressions where one of the cubes is an algebraic expression,
- evaluate algebraic expressions using the sum or difference of cubes.

#### Prerequisites

Students should already be familiar with

- the difference of two squares,
- cube roots of perfect cubes and rational numbers.

#### Exclusions

Students will not cover

- sums and differences of higher-order expressions,
- factoring by grouping.