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Extra info for Algebra and Trigonometry (3rd Edition) (Beecher/Penna/Bittinger Series)

Sample text

X 2/5y Ϫ1/5 5/3 7/3 120. ͙ ab 2 ͙ab a͙ a 5 4 128 92. 32Ϫ4/5 1 5 3 ͙ x 11y 7 3 Convert to radical notation and simplify. 4 5 87. x 3/4 ͙ x 3 88. y 2/5 ͙ y 2 90. 47/2 12 3 119. ͙ xy ͙ x 2y 5 ͙5 ͙2 ͙10 ͙p Ϫ ͙q 86. 1 ϩ ͙q 89. 163/4 8 116. m2/3͑m7/4 Ϫ m5/4 ͒ Write an expression containing a single radical and simplify. 3 4 6 4 117. ͙ 6 ͙2 ͙ 288 118. ͙2 ͙ 8 2͙ 2 ͙20 8 Ϫ ͙6 84. 5 Ϫ ͙2 47 Radical Notation and Rational Exponents 115. a3/4͑a2/3 ϩ a4/3 ͒ 80. 3 ͙98 • 12 115. a͙a5 ϩ a2 ͙ a 12 12 116. m2 ͙ m5 Ϫ m͙ m11 x 3b2 x3 Ϫ2 , or 3b 3 Ճ Answers to Exercises 83 – 86 can be found on p.

2y 3 Ϫ 128 68. 8t 3 Ϫ 8 69. 3a5 Ϫ 24a2 70. 250z 4 Ϫ 2z Factor the trinomial. 19. p2 ϩ 6p ϩ 8 ͑ p ϩ 2͒ ͑ p ϩ 4͒ 20. w Ϫ 7w ϩ 10 ͑w Ϫ 5͒ ͑w Ϫ 2͒ 22. x ϩ 6x ϩ 5 23. t 2 ϩ 8t ϩ 15 24. y 2 ϩ 12y ϩ 27 ͑x ϩ 2͒ ͑x ϩ 6͒ ͑t ϩ 3͒ ͑t ϩ 5͒ 2 ͑x ϩ 1͒ ͑x ϩ 5͒ ͑ y ϩ 3͒ ͑ y ϩ 9͒ 25. x 2 Ϫ 6xy Ϫ 27y 2 26. t 2 Ϫ 2t Ϫ 15 27. 2n2 Ϫ 20n Ϫ 48 28. 2a2 Ϫ 2ab Ϫ 24b 2 29. y 4 Ϫ 4y 2 Ϫ 21 30. m4 Ϫ m2 Ϫ 90 31. 2n ϩ 9n Ϫ 56 32. 3y ϩ 7y Ϫ 20 33. 12x 2 ϩ 11x ϩ 2 ͑x ϩ 3y͒ ͑x Ϫ 9y͒ 8͑t Ϫ 1͒ ͑t 2 ϩ t ϩ 1͒ 3a 2͑a Ϫ 2͒ ͑a 2 ϩ 2a ϩ 4͒ 2z͑5z Ϫ 1͒ ͑25z 2 ϩ 5z ϩ 1͒ 2 21.

1 1 ϩ y x 8 c2 51. 2 1ϩ c cϩ 53. y ͑ y Ϫ 2͒ ͑ y Ϫ 3͒ 5a2 ϩ 10ab Ϫ 4b 2 ͑a ϩ b͒ ͑a Ϫ b͒ 3 2ϩx xϩy x aϪb a b 48. 2 2 a Ϫb aϩb ab xϪy b a Ϫ b a 50. 1 1 Ϫ a b Ϫa Ϫ b a b 52. b bϪ a a2͑b Ϫ 1͒ b 2͑a Ϫ 1͒ c Ϫ 2c ϩ 4 c 2 x ϩ xy ϩ y x2 y2 Ϫ y x 2 3x Ϫ 4 ͑x Ϫ 2͒ ͑x Ϫ 1͒ 2 xy xϪy aϪ a2 b 2 ϩ b a 54. 2 a Ϫ ab ϩ b 2 Ճ Answers to Exercises 43 and 44 can be found on p. IA-2. QXP 38 55. Chapter R a Ϫ aϪ1 a ϩ aϪ1 • 12/2/04 2:43 PM Page 38 Basic Concepts of Algebra a2 Ϫ 1 a2 ϩ 1 56. x Ϫ1 ϩ y Ϫ1 x 2y 2 x Ϫ3 ϩ y Ϫ3 y 2 Ϫ yx ϩ x 2 1 2 ϩ xϪ3 xϩ3 57.

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