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# Int Math 2 Section 9-5 1011

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Multiply Binomials

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• ### Int Math 2 Section 9-5 1011

1. 1. SECTION 9-5Multiplying Binomials
2. 2. ESSENTIAL QUESTIONHow do you multiply binomials?Where you’ll see this: Finance, geography, recreation, photography
3. 3. EXAMPLE 1 Simplify. 2a. (2x + 4)(3x − 2) b. (2x + 3)
4. 4. EXAMPLE 1 Simplify. 2a. (2x + 4)(3x − 2) b. (2x + 3)
5. 5. EXAMPLE 1 Simplify. 2a. (2x + 4)(3x − 2) b. (2x + 3) 26x
6. 6. EXAMPLE 1 Simplify. 2a. (2x + 4)(3x − 2) b. (2x + 3) 26x
7. 7. EXAMPLE 1 Simplify. 2a. (2x + 4)(3x − 2) b. (2x + 3) 26x −4x
8. 8. EXAMPLE 1 Simplify. 2a. (2x + 4)(3x − 2) b. (2x + 3) 26x −4x
9. 9. EXAMPLE 1 Simplify. 2a. (2x + 4)(3x − 2) b. (2x + 3) 26x −4x +12x
10. 10. EXAMPLE 1 Simplify. 2a. (2x + 4)(3x − 2) b. (2x + 3) 26x −4x +12x
11. 11. EXAMPLE 1 Simplify. 2a. (2x + 4)(3x − 2) b. (2x + 3) 26x −4x +12x −8
12. 12. EXAMPLE 1 Simplify. 2a. (2x + 4)(3x − 2) b. (2x + 3) 26x −4x +12x −8 2 6x + 8x − 8
13. 13. EXAMPLE 1 Simplify. 2a. (2x + 4)(3x − 2) b. (2x + 3) (2x + 3)(2x + 3) 26x −4x +12x −8 2 6x + 8x − 8
14. 14. EXAMPLE 1 Simplify. 2a. (2x + 4)(3x − 2) b. (2x + 3) (2x + 3)(2x + 3) 26x −4x +12x −8 2 6x + 8x − 8
15. 15. EXAMPLE 1 Simplify. 2a. (2x + 4)(3x − 2) b. (2x + 3) (2x + 3)(2x + 3) 26x −4x +12x −8 2 4x 2 6x + 8x − 8
16. 16. EXAMPLE 1 Simplify. 2a. (2x + 4)(3x − 2) b. (2x + 3) (2x + 3)(2x + 3) 26x −4x +12x −8 2 4x 2 6x + 8x − 8
17. 17. EXAMPLE 1 Simplify. 2a. (2x + 4)(3x − 2) b. (2x + 3) (2x + 3)(2x + 3) 26x −4x +12x −8 2 4x +6x 2 6x + 8x − 8
18. 18. EXAMPLE 1 Simplify. 2a. (2x + 4)(3x − 2) b. (2x + 3) (2x + 3)(2x + 3) 26x −4x +12x −8 2 4x +6x 2 6x + 8x − 8
19. 19. EXAMPLE 1 Simplify. 2a. (2x + 4)(3x − 2) b. (2x + 3) (2x + 3)(2x + 3) 26x −4x +12x −8 2 4x +6x +6x 2 6x + 8x − 8
20. 20. EXAMPLE 1 Simplify. 2a. (2x + 4)(3x − 2) b. (2x + 3) (2x + 3)(2x + 3) 26x −4x +12x −8 2 4x +6x +6x 2 6x + 8x − 8
21. 21. EXAMPLE 1 Simplify. 2a. (2x + 4)(3x − 2) b. (2x + 3) (2x + 3)(2x + 3) 26x −4x +12x −8 2 4x +6x +6x +9 2 6x + 8x − 8
22. 22. EXAMPLE 1 Simplify. 2a. (2x + 4)(3x − 2) b. (2x + 3) (2x + 3)(2x + 3) 26x −4x +12x −8 2 4x +6x +6x +9 2 6x + 8x − 8 2 4x +12x + 9
23. 23. EXPLOREMultiply by hand: 32 X 45 32 x 45
24. 24. EXPLOREMultiply by hand: 32 X 45 32 x 45 0
25. 25. EXPLOREMultiply by hand: 32 X 45 1 32 x 45 0
26. 26. EXPLOREMultiply by hand: 32 X 45 1 32 x 45 16 0
27. 27. EXPLOREMultiply by hand: 32 X 45 1 32 x 45 16 0 0
28. 28. EXPLOREMultiply by hand: 32 X 45 1 32 x 45 16 0 80
29. 29. EXPLOREMultiply by hand: 32 X 45 1 32 x 45 16 0 128 0
30. 30. EXPLOREMultiply by hand: 32 X 45 1 32 x 45 16 0 128 0
31. 31. EXPLOREMultiply by hand: 32 X 45 1 32 x 45 16 0 128 0 1440
32. 32. EXAMPLE 2 Simplify.a. (w − 2)(w +12) b. (3a +1)(a − 3)
33. 33. EXAMPLE 2 Simplify.a. (w − 2)(w +12) b. (3a +1)(a − 3) (w − 2)
34. 34. EXAMPLE 2 Simplify.a. (w − 2)(w +12) b. (3a +1)(a − 3) (w − 2) (w +12)
35. 35. EXAMPLE 2 Simplify.a. (w − 2)(w +12) b. (3a +1)(a − 3) (w − 2) (w +12)
36. 36. EXAMPLE 2 Simplify.a. (w − 2)(w +12) b. (3a +1)(a − 3) (w − 2) (w +12) −24
37. 37. EXAMPLE 2 Simplify.a. (w − 2)(w +12) b. (3a +1)(a − 3) (w − 2) (w +12) 12w −24
38. 38. EXAMPLE 2 Simplify.a. (w − 2)(w +12) b. (3a +1)(a − 3) (w − 2) (w +12) 12w −24 −2w
39. 39. EXAMPLE 2 Simplify.a. (w − 2)(w +12) b. (3a +1)(a − 3) (w − 2) (w +12) 12w −24 2w −2w
40. 40. EXAMPLE 2 Simplify.a. (w − 2)(w +12) b. (3a +1)(a − 3) (w − 2) (w +12) 12w −24 2w −2w
41. 41. EXAMPLE 2 Simplify.a. (w − 2)(w +12) b. (3a +1)(a − 3) (w − 2) (w +12) 12w −24 2 w −2w 2w +10w − 24
42. 42. EXAMPLE 2 Simplify.a. (w − 2)(w +12) b. (3a +1)(a − 3) (w − 2) (3a +1) (w +12) 12w −24 2 w −2w 2w +10w − 24
43. 43. EXAMPLE 2 Simplify.a. (w − 2)(w +12) b. (3a +1)(a − 3) (w − 2) (3a +1) (w +12) (a − 3) 12w −24 2 w −2w 2w +10w − 24
44. 44. EXAMPLE 2 Simplify.a. (w − 2)(w +12) b. (3a +1)(a − 3) (w − 2) (3a +1) (w +12) (a − 3) 12w −24 2 w −2w 2w +10w − 24
45. 45. EXAMPLE 2 Simplify.a. (w − 2)(w +12) b. (3a +1)(a − 3) (w − 2) (3a +1) (w +12) (a − 3) 12w −24 −3 2 w −2w 2w +10w − 24
46. 46. EXAMPLE 2 Simplify.a. (w − 2)(w +12) b. (3a +1)(a − 3) (w − 2) (3a +1) (w +12) (a − 3) 12w −24 −9a −3 2 w −2w 2w +10w − 24
47. 47. EXAMPLE 2 Simplify.a. (w − 2)(w +12) b. (3a +1)(a − 3) (w − 2) (3a +1) (w +12) (a − 3) 12w −24 −9a −3 2 w −2w +a 2w +10w − 24
48. 48. EXAMPLE 2 Simplify.a. (w − 2)(w +12) b. (3a +1)(a − 3) (w − 2) (3a +1) (w +12) (a − 3) 12w −24 −9a −3 2 2 w −2w 3a +a 2w +10w − 24
49. 49. EXAMPLE 2 Simplify.a. (w − 2)(w +12) b. (3a +1)(a − 3) (w − 2) (3a +1) (w +12) (a − 3) 12w −24 −9a −3 2 2 w −2w 3a +a 2w +10w − 24
50. 50. EXAMPLE 2 Simplify.a. (w − 2)(w +12) b. (3a +1)(a − 3) (w − 2) (3a +1) (w +12) (a − 3) 12w −24 −9a −3 2 2 w −2w 3a +a 2 2w +10w − 24 3a − 8a − 3
51. 51. PROBLEM SET
52. 52. PROBLEM SET p. 398 #1-48, multiples of 3“An opinion should be the result of a thought, not a substitute for it.” Jeff Mallett