Factoring GCF and Difference of Squares Mastery

This video tutorial covers factoring strategies, focusing on the greatest common factor and the difference of perfect squares. It begins with a review of multiplication and the distributive property, then demonstrates how to factor expressions using the greatest common factor. The tutorial also introduces the box strategy for multiplying binomials and explains the concept of the difference of perfect squares. Finally, it emphasizes the importance of recognizing perfect squares and provides examples for practice.

What property have you been using since middle school to multiply expressions?

• Associative Property

• Commutative Property

• Identity Property

• Distributive Property

What is the greatest common factor of 36x and -9?

• 9

• 6

• 3

• 12

If 10 is the greatest common factor, what is the factored form of 40x^2 + 70?

• 10(40x^2 + 7)

• 10(4x^2 + 70)

• 10(4x + 7)

• 10(4x^2 + 7)

What is the greatest common factor of 32x^2 and 72xy?

• 4x

• 8

• 8x

• 16x

What is the result of multiplying 4x and -1 using the box strategy?

• -4x

• 4x

• -1

• 16x^2

What is the product of multiplying binomials 4x and 1 using the box strategy?

• 16x^2

• 1

• 4x^2

• 4x

What do you call the product of binomials that have a minus and a plus sign?

• Sum of cubes

• Difference of squares

• Sum of squares

• Product of squares

What is the factored form of 36x^2 - 25?

• (36x - 25)(36x + 25)

• (6x + 5)(6x + 5)

• (6x - 5)(6x - 5)

• (6x - 5)(6x + 5)

Which of the following is a perfect square?

• 20

• 9

• 15

• 8

What is the factored form of 100 - x^6?

• (10 + x^3)(10 - x^3)

• (10 - x^3)(10 - x^3)

• (10 + x^3)(10 + x^3)

• (100 - x^3)(100 + x^3)