Factoring Difference of Squares Mastery

The video tutorial covers the concept of factoring, focusing on the difference of squares. It begins with an introduction to factoring, followed by examples and explanations of solving equations using factoring. The tutorial then delves into the difference of squares, providing techniques and practice problems to reinforce learning. The session concludes with a set of practice problems for students to solve independently.

What do you call the numbers or expressions that are multiplied together to get a product?

• Sums

• Quotients

• Factors

• Differences

In the expression x^2 - 4, what are the factors?

• (x + 2)(x + 2)

• (x - 2)(x - 2)

• (x + 2)(x - 2)

• (x - 2)(x + 4)

What is the term used to describe the subtraction of two perfect squares?

• Sum of squares

• Difference of squares

• Product of squares

• Quotient of squares

Which of the following is a perfect square?

• 30

• 35

• 15

• 25

What is the greatest common factor (GCF) of 3x^2 and 27?

• 1

• 27

• 3

• 9

How do you factor the expression 4x^2 - 25?

• (2x + 25)(2x - 25)

• (4x + 25)(4x - 25)

• (4x + 5)(4x - 5)

• (2x + 5)(2x - 5)

What should you always check for first when factoring an expression?

• Perfect squares

• Like terms

• Greatest common factor

• Prime numbers

In the expression 12x^2 - 27y^2, what is the common factor?

• 3

• 4

• 2

• 9

What is the factored form of 25x^2 - 9?

• (5x + 9)(5x - 9)

• (25x + 3)(25x - 3)

• (25x + 9)(25x - 9)

• (5x + 3)(5x - 3)

What is the first step in factoring the expression 4x^2 - 64?

• Factor as a difference of squares

• Simplify the expression

• Check for perfect squares

• Check for a common factor