Exercises 11.5, page 341

  1. 1. 310 − 16

  2. 3. 3 − 2

  3. 5. 35

  4. 7. 23

  5. 9. 2

  6. 11. 48

  7. 13. 65

  8. 15. 32 − 15

  9. 17.  − 1

  10. 19.  − 12 + 1510

  11. 21. 66 + 1311x − 5x

  12. 23. ab + cac

  13. 25. 2 − 362

  14. 27. x − 8xy + 16y

  15. 29. 2a − 3b + 22ab

  16. 31. 726

  17. 33. 14 (7 − 3)

  18. 35. 111 (7 + 32 − 6 − 14)

  19. 37. 117 ( − 56 + 915)

  20. 39. 6x + 65xx − 5

  21. 41. 1

  22. 43. 2 − R − R2R

  23. 45.  − x2 − y2 + x2 + xyy

  24. 47. a − 1 + a(a − 2)

  25. 49.  − 1 − 66 =  − 9.1240384

  26. 51.  − 16 + 53026 =  − 1.6686972

  27. 53. 2x + 1x

  28. 55. 5x2 + 2x2x + 1

  29. 57.  − 152 − 45

  30. 59. 1x + h + x

  31. 61. Yes — if either x or y is zero and the other is  ≥ 0.

  32. 63.

    (1 − 2)2 − 2(1 − 2) − 1 = 1 − 22 + 2 − 2 + 22 − 1 = 0

  33. 65. a = c

  34. 67. x3 − 1x − 1

  35. 69.

    [ 12(b2 − 4k2 − b)] 2 + b[ 12 (b2 − 4k2 − b)]  + k2 = 14(b2 − 4k2) − b2 b2 − 4k2 + 14 b2 + b2 b2 − 4k2 − 12 b2 + k2 = 0

  36. 71. 2500 ...

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