58 CHAPTER R Review of Basic Concepts 15. -7z5 - 2z3 + 1 16. -9t4 + 8t3 - 7 17. 15a2b3 + 12a3b8 - 13b5 + 12b6 18. -16x5y7 + 12x3y8 - 4xy9 + 18x10 19. 3 8 x5 - 1 x2 + 9 20. 2 3 t6 + 3 t5 + 1 21. 5 22. 9 Add or subtract, as indicated. See Example 2. 23. 15x2 - 4x + 72 + 1-4x2 + 3x - 52 24. 13m3 - 3m2 + 42 + 1-2m3 - m2 + 62 25. 2112y2 - 8y + 62 - 413y2 - 4y + 22 26. 318p2 - 5p2 - 513p2 - 2p + 42 27. 16m4 - 3m2 + m2 - 12m3 + 5m2 + 4m2 + 1m2 - m2 28. -18x3 + x - 32 + 12x3 + x22 - 14x2 + 3x - 12 Find each product. See Examples 3–5. 29. 14r - 1217r + 22 30. 15m- 6213m+ 42 31. x213x - 2215x + 12 32. m312m- 1213m+ 12 33. 4x213x3 + 2x2 - 5x + 12 34. 2b31b2 - 4b + 32 35. 12z - 121-z2 + 3z - 42 36. 13w + 221-w2 + 4w - 32 37. 1m- n + k21m+ 2n - 3k2 38. 1r - 3s + t212r - s + t2 39. 12x + 3212x - 3214x2 - 92 40. 13y - 5213y + 5219y2 - 252 41. 1x + 121x + 121x - 121x - 12 42. 1t + 421t + 421t - 421t - 42 Find each product. See Examples 5 and 6. 43. 12m+ 3212m- 32 44. 18s - 3t218s + 3t2 45. 14x2 - 5y214x2 + 5y2 46. 12m3 + n212m3 - n2 47. 14m+ 2n22 48. 1a - 6b22 49. 15r - 3t222 50. 12z4 - 3y22 51. 312p - 32 + q42 52. 314y - 12 + z42 53. 313q + 52 - p4313q + 52 + p4 54. 319r - s2 + 24319r - s2 - 24 55. 313a + b2 - 142 56. 312m+ 72 - n42 57. 1y + 223 58. 1z - 323 59. 1q - 224 60. 1r + 324 Perform the indicated operations. See Examples 2–6. 61. 1p3 - 4p2 + p2 - 13p2 + 2p + 72 62. 1x4 - 3x2 + 22 - 1-2x4 + x2 - 32 63. 17m+ 2n22 64. 13p + 522 65. -314q2 - 3q + 22 + 21-q2 + q - 42 66. 213r2 + 4r + 22 - 31-r2 + 4r - 52 67. p14p - 62 + 213p - 82 68. m15m- 22 + 915 - m2 69. -y1y2 - 42 + 6y212y - 32 70. -z319 - z2 + 4z12 + 3z2
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