Factoring a binomial to the fourth power by the difference of two squares

The video tutorial explains how to factor expressions using the difference of two squares. It begins by introducing the concept and identifying squared terms in the expression X^4 - 16. The instructor demonstrates how to rewrite these terms as squared terms and apply the difference of squares formula. The process involves labeling the terms and completing the factoring to achieve the final result. The tutorial aims to clarify common student confusions and provide a step-by-step guide to factoring using this method.

What is the expression that needs to be factored in this tutorial?

• X^2 + 16

• X^4 + 16

• X^4 - 16

• X^2 - 16

How can the number 16 be expressed as a squared term?

• 4^2

• 16^1

• 8^2

• 2^4

What is the correct way to express X^4 as a squared term?

• (X^4)^1

• (X^3)^1.33

• (X^2)^2

• (X^1)^4

What is the formula used to factor the difference of two squares?

• (A + B)(A + B)

• (A - B)(A - B)

• (A + B)(A - B)

• (A - B)(B - A)

What are the final factors of the expression X^4 - 16?

• X^2 + 4 and X^2 - 4

• X^2 - 4 and X^2 + 4

• X^2 - 8 and X^2 + 8

• X^2 + 8 and X^2 - 8