Understanding the Difference of Two Squares

The video tutorial explains how to factor expressions using the difference of two squares method. It begins with an introduction to factoring and special products, then demonstrates how to work backwards to rewrite binomials as products. The main focus is on using the difference of two squares, which involves expressing a squared number minus another squared number as a product of two binomials. The tutorial concludes with an application of this method to solve a specific problem, emphasizing the importance of recognizing square numbers and correctly applying the formula.

What is the result when you multiply (x + 2) by (x - 2)?

• x^2 + 2x - 4

• x^2 - 4

• x^2 + 4

• x^2 - 2x + 4

What is the first step in working backwards to rewrite a binomial as a product?

• Add the terms

• Identify the middle term

• Factor out common terms

• Multiply the terms

What does the difference of two squares allow you to do?

• Rewrite a squared term as a product

• Multiply two binomials

• Add two binomials

• Divide two binomials

How can 64 be expressed as a square number?

• 6 squared

• 10 squared

• 4 squared

• 8 squared

What is the final expression for 8y squared minus 7y?

• (8y - 7)(8y + 7)

• (8y - 7)(8y - 7)

• (8y + 7)(8y + 7)

• (8y + 7)(8y - 7)