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Exercises 1.9, page 38

1. $\frac{3}{y^{3}}$
3. $3 x - 2$
5. $- 4 x^{2} y$
7. $\frac{4 t^{4}}{r^{2}}$
9. $3 x^{2} z$
11. a
13. $a^{2} + 2 y$
15. $t - 2 r t^{2}$
17. $q + 2 p - 4 q^{3}$
19. $\frac{2 L}{R} - R$
21. $- \frac{1}{2 b} + \frac{1}{a} - \frac{3 a}{2 b^{2}}$
23. $3 y^{n} - 2 a y$
25. $x + 5$
27. $2 x + 1$
29. $x - 1$
31. $4 x^{2} - x - 1, R = - 3$
33. $Z - 2 - \frac{1}{4 Z + 3}$
35. $x^{2} + x - 6$
37. $2 a^{2} + 8$
39. $y^{2} - 3 y + 9$
41. $x - y$
43. $t - 2$
45. $- 5$
47. $\frac{x^{4} + 1}{x + 1} = x^{3} - x^{2} + x - 1 + \frac{2}{x + 1}$
49. $\frac{V_{1} T_{2}}{T_{1}}$
51. $A + \frac{μ^{2} E^{2}}{2 A} - \frac{μ^{4} E^{4}}{8 A^{3}}$
53. $\frac{G M m}{R}$
55. $s^{2} + 2 s + 6 + \frac{16 s + 16}{s^{2} - 2 s - 2}$

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