Exercises 6.6, page 208

1. $12 a^{2} b^{3}$
3. $\frac{12}{s (s + 4)}$
5. 2
7. $\frac{8}{x}$
9. $\frac{5}{4}$
11. $\frac{x^{2} + 7}{3 x}$
13. $\frac{a x - b}{x^{2}}$
15. $\frac{30 + a x^{2}}{25 x^{3}}$
17. $\frac{14 - a^{2}}{10 a}$
19. $\frac{x y + 3 x + 2 y}{4 x y}$
21. $y - 5$
23. $\frac{3 x + 8}{6 (x - 1)}$
25. $\frac{5 - 3 x}{2 x (x + 1)}$
27. $\frac{- 3}{4 (s - 3)}$
29. $\frac{7 R + 6}{3 (R + 3) (R - 3)}$
31. $\frac{2 x - 5}{{(x - 4)}^{2}}$
33. $\frac{- 4}{(v + 1) (v - 3)}$
35. $\frac{9 x^{2} + x - 2}{(3 x - 1) (x - 4)}$
37. $\frac{- 2 t^{3} + 3 t^{2} + 15 t}{(t - 3) (t + 2) {(t + 3)}^{2}}$
39. $\frac{- 2 w^{3} + w^{2} - w}{(w + 1) (w^{2} - w + 1)}$
41. $\frac{3}{1 - x}$
43. $\frac{x - y}{y}$
45. $- \frac{(3 x + 4) (x - 1)}{2 x}$
47. $\frac{h}{(x + 1) (x + h + 1)}$
49. $\frac{- 2 h x - h^{2}}{x^{2} {(x + h)}^{2}}$
51. $\frac{y^{2} - r x + r^{2}}{r^{2}}$
53. $\frac{2 a - 1}{a^{2}}$
55. $\frac{a (a + 2)}{a + 1}$
57. $\frac{a + b}{\frac{1}{a} + \frac{1}{b}} = a b$
59. $\frac{2 m n}{m^{2} + n^{2}}$
61. $\frac{3 (H - H_{0})}{4 π H}$
63. $\frac{n (2 n + 1)}{2 (n + 2) (n - 1)}$
65. $\frac{P^{2} (9 x^{2} + L^{2})}{4 L^{4}}$
67. $\frac{s L + R}{s^{2} L C + s R C + 1}$
69. $\frac{ω^{2} L^{2} + ω^{4} R^{2} C^{2} L^{2} - 2 ω^{2} R^{2} C L + R^{2}}{ω^{2} R^{2} L^{2}}$
71. $\frac{10 v}{(v + w) (v - w)}$

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Basic Technical Mathematics, 11th Edition by Allyn J. Washington, Richard Evans