Building Skills

9. 120
11. 12
13. 15
15. 1
17. 7
19. 1
21. 4950
23. 210
25. ${(x + 2)}^{4} = x^{4} + 8 x^{3} + 24 x^{2} + 32 x + 16$
27. ${(x - 2)}^{5} = x^{5} - 10 x^{4} + 40 x^{3} - 80 x^{2} + 80 x - 32$
29. ${(2 - 3 x)}^{3} = - 27 x^{3} + 54 x^{2} - 36 x + 8$
31. ${(2 x + 3 y)}^{4} = 16 x^{4} + 96 x^{3} y + 216 x^{2} y^{2} + 216 x y^{3} + 81 y^{4}$
33. ${(x + 1)}^{4} = x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 1$
35. ${(x - 1)}^{5} = x^{5} - 5 x^{4} + 10 x^{3} - 10 x^{2} + 5 x - 1$
37. ${(y - 3)}^{3} = y^{3} - 9 y^{2} + 27 y - 27$
39. ${(x + y)}^{6} = x^{6} + 6 x^{5} y + 15 x^{4} y^{2} + 20 x^{3} y^{3} + 15 x^{2} y^{4} + 6 x y^{5} + y^{6}$
41. ${(1 + 3 y)}^{5} = 243 y^{5} + 405 y^{4} + 270 y^{3} + 90 y^{2} + 15 y + 1$
43. ${(2 x + 1)}^{4} = 16 x^{4} + 32 x^{3} + 24 x^{2} + 8 x + 1$
45. ${(x - 2 y)}^{3} = x^{3} - 6 x^{2} y + 12 x y^{2} - 8 y^{3}$
47. ${(2 x + y)}^{4} = 16 x^{4} + 32 x^{3} y + 24 x^{2} y^{2} + 8 x y^{3} + y^{4}$
49. ${(\frac{x}{2} + 2)}^{7} = \frac{1}{128} x^{7} + \frac{7}{32} x^{6} + \frac{21}{8} x^{5} + \frac{35}{2} x^{4} + 70 x^{3} + 168 x^{2} + 224 x + 128$
51. ${(a^{2} - \frac{1}{3})}^{4} = a^{8} - \frac{4}{3} a^{6} + \frac{2}{3} a^{4} - \frac{4}{27} a^{2} + \frac{1}{81}$
53. ${(\frac{1}{x} + y)}^{3} = y^{3} + 3 \frac{y^{2}}{x} + 3 \frac{y}{x^{2}} + \frac{1}{x^{3}}$
55. 36
57. 1512
59. 314,928
61. 126
63. $120 x^{7} y^{3}$
65. $- 112, 640 x^{3}$
67. $16, 128 x^{6} y^{2}$
69. $- 704, 000 x^{2} y^{9}$
71. $84 x^{3}$
73. $280 x^{3} y^{4}$
75. $405 x^{8} y^{5}$
77. 2.48832

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College Algebra, 4th Edition by J. S. Ratti, Marcus S. McWaters, Leslaw Skrzypek