4. GCF present

5. Distributive Property in Reverse

7. Example 1

8. Distributive Property in Reverse Example 1

11. Difference of 2 SQUARES

30. Example 2

37. Example 3

38. Example 4

40. Is this a perfect Square?

47. Difference of 2 CUBES

49. The Difference of Two Cubes: The difference of cubes can be modeled using volume. The volume of a cube is:

50. Imagine taking a cube with a volume of x 3 x x x

51. The volume of the resulting figure must be x 3 - y 3. x x x y y y and cutting out and removing a smaller cube with a volume of y 3. Imagine taking a cube with a volume of x 3

52. We call this the difference of two cubes. x x x y y y and cutting out and removing a smaller cube with a volume of y 3. Imagine taking a cube with a volume of x 3 The volume of the resulting figure must be x 3 - y 3.

53. We are going to discover how to factor the difference of two cubes by breaking the diagram into rectangular prisms and finding the sum of the volumes of the rectangular prisms.

54. x x x - y x x x y y y

55. x x x x x y y y

56. x x x x x y y y y x

57. x x x x x y y y y x

58. x x x x x y y y y x y y

59. x x x x x y y y y x y y

85. 4x24x2 6x6x9 2x2x –3

86. 4x24x2 6x6x9 2x2x

88. 9x29x2 3x3x1 3x3x –1

89. 9x29x2 3x3x1 3x3x

92. Sum of 2 CUBES

110. x2x2 –2x4 x 2

111. x2x2 4 x 2

115. GCF present Difference of 2 SQUARES Difference of 2 CUBES Sum of 2 CUBES