Exercises 6.6, page 208

  1. 1. 12a2b3

  2. 3. 12s(s + 4)

  3. 5. 2

  4. 7. 8x

  5. 9. 54

  6. 11. x2 + 73x

  7. 13. ax − bx2

  8. 15. 30 + ax225x3

  9. 17. 14 − a210a

  10. 19. xy + 3x + 2y4xy

  11. 21. y − 5

  12. 23. 3x + 86(x − 1)

  13. 25. 5 − 3x2x(x + 1)

  14. 27.  − 34(s − 3)

  15. 29. 7R + 63(R + 3)(R − 3)

  16. 31. 2x − 5(x − 4)2

  17. 33.  − 4(v + 1)(v − 3)

  18. 35. 9x2 + x − 2(3x − 1)(x − 4)

  19. 37.  − 2t3 + 3t2 + 15t(t − 3)(t + 2)(t + 3)2

  20. 39.  − 2w3 + w2 − w(w + 1)(w2 − w + 1)

  21. 41. 31 − x

  22. 43. x − yy

  23. 45.  − (3x + 4)(x − 1)2x

  24. 47. h(x + 1)(x + h + 1)

  25. 49.  − 2hx − h2x2 (x + h)2

  26. 51. y2 − rx + r2r2

  27. 53. 2a − 1a2

  28. 55. a(a + 2)a + 1

  29. 57. a + b1a + 1b = ab

  30. 59. 2mnm2 + n2

  31. 61. 3(H − H0)4πH

  32. 63. n(2n + 1)2(n + 2)(n − 1)

  33. 65. P2(9x2 + L2)4L4

  34. 67. sL + Rs2LC + sRC + 1

  35. 69. ω2L2 + ω4R2C2L2 − 2ω2R2CL + R2ω2R2L2

  36. 71. 10v(v + w)(v − w)

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