Objectives
 Identify and factor a difference of two squares.
 Identify and factor a perfect square trinomial.
 Expand binomials to produce a difference of two squares.
Key Terms
 Difference of Squares – An expression that contains two perfect squares with one subtracted from the other.
 A difference of squares can always be factored as follows:
 Difference of Two Cubes – An expression that contains two perfect cubes with one subtracted from the other.
 A difference of two cubes can always be factored as follows:
 Perfect Square Trinomial – The result of multiplying a binomial by itself.
 In other words, it is the square of a polynomial with two terms.
 Sum of Two Cubes – An expression that contains that contains two perfect cubes, with one added to other other.
 This type of expression can always be factored as follows:
 Example:
 So,
Notes
Difference of Squares 


Perfect Square Trinomials 

Difference of Two Cubes 

Examples 









