Multiplying Special Cases

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Presentation transcript:

Multiplying Special Cases ALGEBRA 1 LESSON 9-4 pages 477–479 Exercises 1. c2 + 2c + 1 2. x2 + 8x + 16 3. 4v2 + 44v + 121 4. 9m2 + 42m + 49 5. w 2 – 24w + 144 6. b2 – 10b + 25 7. 36x2 – 96x + 64 8. 81j 2 – 36j + 4 9. a. C2 + CD + D2 b. c. It is the coefficient of C2. 10. 3721 11. 9801 12. 2304 13. 91,204 14. 249,001 15. x2 – 16 16. a2 – 64 17. d 2 – 49 18. h2 – 225 19. y2 – 144 20. k2 – 25 21. 899 22. 8099 23. 2496 24. 39,991 25. 89,999 26. (6x + 9) units2 27. (10x + 15) units2 28. x2 + 6xy + 9y2 29. 25p2 – 10pq + q2 30. 36m2 + 12mn + n2 31. x2 – 14xy + 49y2 32. 16k2 + 56kj + 49j 2 33. 4y2 – 36xy + 81x2 1 16 3 8 9 16 1 16 9-4

Multiplying Special Cases ALGEBRA 1 LESSON 9-4 34. 9w 2 + 60wt + 100t 2 35. 36a2 + 132ab + 121b2 36. 25p2 – 60pq + 36q 2 37. 36h2 – 96hp + 64p2 38. y10 – 18x4y5 + 81x8 39. 64k 2 + 64kh + 16h2 40. a. R + W = R2 + RW + W 2 b. c. R + W R = R2 + RW d. 0 41. a. b. n2 is one more than the product (n – 1)(n + 1). c. The product (n – 1)(n + 1) is n2 – 1. 42. Answers may vary. Sample: (2 + 2)2 22 + 22 16 = 8 43. No; 3 = 3 + = 3 + 3 + = 32 + 2(3) + = 9 + 3 + = 12 = 9 1 2 1 2 1 2 2 1 4 1 2 1 4 1 2 / 1 2 1 2 1 2 1 2 1 2 1 2 1 2 2 1 2 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 2 1 4 1 2 1 4 / 9-4

Multiplying Special Cases ALGEBRA 1 LESSON 9-4 44. 9y2 – 25w2 45. p2 – 81q2 46. 4d2 – 49g2 47. 49b2 – 64c2 48. g2 – 49h2 49. g6 – 49h4 50. 4a4 – b2 51. 121x2 – y6 52. 16k2 – 9h4 53. a2 + b2 + c2 + 2ab + 2bc + 2ac 54. a. H 3 + H 2T + HT 2 + T 3 b. 55. a. (3n + 1)2 = (3n + 1)(3n + 1) = 9n2 + 6n + 1 = 3(3n2 + 2n) + 1; since 3n2 + 2n is an integer, then 3(3n2 + 2n) is a multiple of three and 3(3n2 + 2n) + 1 is one more than a multiple of three. b. No; its square is one more than a multiple of three. 56. V = r 3 + 12 r2 + 36 r + 36 57. a. b. 4 3 1 8 3 8 3 8 1 8 3 8 3 8 9-4

Multiplying Special Cases ALGEBRA 1 LESSON 9-4 58. D 59. F 60. C 61. B 62. C 63. [2] The middle term is twice the product of the first and last terms; 2(3x)(–4y) = –24xy. [1] incorrect explanation 64. k2 – 2k – 63 65. 2x2 – 23x + 66 66. 15p2 + 7p – 4 67. 3y2 + 4y + 1 68. 24h2 – 8h – 2 69. 72b2 + 74b + 14 70. 2w 3 + 16w 2 + 5w + 40 71. r 3 – 4r 2 – 30r + 63 72. 30m5 + 8m3 – 8m 73. 8.713  103 74. 3.1  10–2 75. 6.8952  104 76. 1.2  106 77. 1.1  101 78. 5.23  102 79. 6  109 80. 7.2  10–1 9-4