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Building Skills

9. $8 (x - 3)$ $8 (x - 3)$
10. $5 (x + 5)$ $5 (x + 5)$
11. $- 6 x (x - 2)$ $- 6 x (x - 2)$
12. $- 3 (x^{2} - 7)$ $- 3 (x^{2} - 7)$
13. $7 x^{2} (1 + 2 x)$ $7 x^{2} (1 + 2 x)$
14. $9 x^{3} (1 - 2 x)$ $9 x^{3} (1 - 2 x)$
15. $x^{2} (x^{2} + 2 x + 1)$ $x^{2} (x^{2} + 2 x + 1)$
16. $x^{2} (x^{2} - 5 x + 7)$ $x^{2} (x^{2} - 5 x + 7)$
17. $x^{2} (3 x - 1)$ $x^{2} (3 x - 1)$
18. $2 x^{2} (x + 1)$ $2 x^{2} (x + 1)$
19. $4 a x^{2} (2 x + 1)$ $4 a x^{2} (2 x + 1)$
20. $a x (x^{3} - 2 x + 1)$ $a x (x^{3} - 2 x + 1)$
21. $(x - y) (x + 3)$ $(x - y) (x + 3)$
22. $(a + 1) (2 a - 3)$ $(a + 1) (2 a - 3)$
23. $(2 x + y) (3 x + 5 y)$ $(2 x + y) (3 x + 5 y)$
24. $(5 x - 3 y) (2 x + 7 y)$ $(5 x - 3 y) (2 x + 7 y)$
25. $(y + 2) (y - 1)$ $(y + 2) (y - 1)$
26. $(y + 1) (y + 2)$ $(y + 1) (y + 2)$
27. $(x + 3) (x^{2} + 1)$ $(x + 3) (x^{2} + 1)$
28. $(x + 5) (x^{2} + 1)$ $(x + 5) (x^{2} + 1)$
29. $(x - 5) (x^{2} + 1)$ $(x - 5) (x^{2} + 1)$
30. $(x - 7) (x^{2} + 1)$ $(x - 7) (x^{2} + 1)$
31. $(3 x + 2) (2 x^{2} + 1)$ $(3 x + 2) (2 x^{2} + 1)$
32. $(x + 2) (3 x^{2} + 1)$ $(x + 2) (3 x^{2} + 1)$
33. $x^{2} (3 x^{2} + 1) (4 x^{3} + 1)$ $x^{2} (3 x^{2} + 1) (4 x^{3} + 1)$
34. $x^{2} (x^{2} + 1) (3 x^{3} + 1)$ $x^{2} (x^{2} + 1) (3 x^{3} + 1)$
35. $(y + b) (x + a)$ $(y + b) (x + a)$
36. $(x + 1) (2 a^{2} - b)$ $(x + 1) (2 a^{2} - b)$
37. $(x + 3) (x + 4)$ $(x + 3) (x + 4)$
38. $(x + 3) (x + 5)$ $(x + 3) (x + 5)$
39. $(x - 2) (x - 4)$ $(x - 2) (x - 4)$
40. $(x - 2) (x - 7)$ $(x - 2) (x - 7)$
41. $(x + 1) (x - 4)$ $(x + 1) (x - 4)$
42. $(x + 1) (x - 6)$ $(x + 1) (x - 6)$
43. Irreducible
44. Irreducible
45. $(2 x + 9) (x - 4)$ $(2 x + 9) (x - 4)$
46. $(2 x + 9) (x - 3)$ $(2 x + 9) (x - 3)$
47. $(2 x + 3) (3 x + 4)$ $(2 x + 3) (3 x + 4)$
48. $(2 x - 3) (4 x + 1)$ $(2 x - 3) (4 x + 1)$
49. $(3 x + 1) (x - 4)$ $(3 x + 1) (x - 4)$
50. $(x + 1) (5 x + 2)$ $(x + 1) (5 x + 2)$
51. Irreducible
52. Irreducible
53. $(x + 4 y) (x - 5 y)$ $(x + 4 y) (x - 5 y)$
54. $(4 p + 5 q) (2 p - 3 q)$ $(4 p + 5 q) (2 p - 3 q)$
55. $(3 x - 4) (5 x + 7)$ $(3 x - 4) (5 x + 7)$
56. $(2 y + 7) (2 y + 5)$ $(2 y + 7) (2 y + 5)$
57. ${(x + 3)}^{2}$ ${(x + 3)}^{2}$
58. ${(x + 4)}^{2}$ ${(x + 4)}^{2}$
59. ${(3 x + 1)}^{2}$ ${(3 x + 1)}^{2}$
60. ${(6 x + 1)}^{2}$ ${(6 x + 1)}^{2}$
61. ${(5 x - 2)}^{2}$ ${(5 x - 2)}^{2}$
62. ${(8 x + 2)}^{2}$ ${(8 x + 2)}^{2}$
63. ${(7 x + 3)}^{2}$ ${(7 x + 3)}^{2}$
64. ${(3 x + 4)}^{2}$ ${(3 x + 4)}^{2}$
65. $(x - 8) (x + 8)$ $(x - 8) (x + 8)$
66. $(x - 11) (x + 11)$ $(x - 11) (x + 11)$
67. $(2 x - 1) (2 x + 1)$ $(2 x - 1) (2 x + 1)$
68. $(3 x - 1) (3 x + 1)$ $(3 x - 1) (3 x + 1)$
69. $(4 x - 3) (4 x + 3)$ $(4 x - 3) (4 x + 3)$
70. $(5 x - 7) (5 x + 7)$ $(5 x - 7) (5 x + 7)$
71. $(x - 1) (x + 1) (x^{2} + 1)$ $(x - 1) (x + 1) (x^{2} + 1)$
72. $(x - 3) (x + 3) (x^{2} + 9)$ $(x - 3) (x + 3) (x^{2} + 9)$
73. $5 (2 x^{2} - 1) (2 x^{2} + 1)$ $5 (2 x^{2} - 1) (2 x^{2} + 1)$
74. $3 (2 x^{2} - 5) (2 x^{2} + 5)$ $3 (2 x^{2} - 5) (2 x^{2} + 5)$
75. $(x + 4) (x^{2} - 4 x + 16)$ $(x + 4) (x^{2} - 4 x + 16)$
76. $(x + 5) (x^{2} - 5 x + 25)$ $(x + 5) (x^{2} - 5 x + 25)$
77. $(x - 3) (x^{2} + 3 x + 9)$ $(x - 3) (x^{2} + 3 x + 9)$
78. $(x - 6) (x^{2} + 6 x + 36)$ $(x - 6) (x^{2} + 6 x + 36)$
79. $(2 - x) (4 + 2 x + x^{2})$ $(2 - x) (4 + 2 x + x^{2})$
80. $(3 - x) (9 + 3 x + x^{2})$ $(3 - x) (9 + 3 x + x^{2})$
81. $(2 x - 3) (4 x^{2} + 6 x + 9)$ $(2 x - 3) (4 x^{2} + 6 x + 9)$
82. $(2 x - 5) (4 x^{2} + 10 x + 25)$ $(2 x - 5) (4 x^{2} + 10 x + 25)$
83. $5 (2 x + 1) (4 x^{2} - 2 x + 1)$ $5 (2 x + 1) (4 x^{2} - 2 x + 1)$
84. $7 (x + 2) (x^{2} - 2 x + 4)$ $7 (x + 2) (x^{2} - 2 x + 4)$
85. $(x^{2} + 3 x + 5) (x^{2} - 3 x - 5)$ $(x^{2} + 3 x + 5) (x^{2} - 3 x - 5)$
86. $(x^{2} + x + 1) (x^{2} - x + 1)$ $(x^{2} + x + 1) (x^{2} - x + 1)$
87. $(x^{2} + x + 8) (x^{2} - x + 8)$ $(x^{2} + x + 8) (x^{2} - x + 8)$
88. $(x^{2} + x - 3) (x^{2} - x - 3)$ $(x^{2} + x - 3) (x^{2} - x - 3)$
89. $(x^{2} + 3 x + 4) (x^{2} - 3 x + 4)$ $(x^{2} + 3 x + 4) (x^{2} - 3 x + 4)$
90. $(x^{2} + 2 x - 6) (x^{2} - 2 x - 6)$ $(x^{2} + 2 x - 6) (x^{2} - 2 x - 6)$
91. $(x^{2} + 2 x + 2) (x^{2} - 2 x + 2)$ $(x^{2} + 2 x + 2) (x^{2} - 2 x + 2)$
92. $(x^{2} + 4 x + 8) (x^{2} - 4 x + 8)$ $(x^{2} + 4 x + 8) (x^{2} - 4 x + 8)$
93. $(1 - 4 x) (1 + 4 x)$ $(1 - 4 x) (1 + 4 x)$
94. $(2 - 5 x) (2 + 5 x)$ $(2 - 5 x) (2 + 5 x)$
95. ${(x - 3)}^{2}$ ${(x - 3)}^{2}$
96. ${(x - 4)}^{2}$ ${(x - 4)}^{2}$
97. ${(2 x + 1)}^{2}$ ${(2 x + 1)}^{2}$
98. ${(4 x + 1)}^{2}$ ${(4 x + 1)}^{2}$
99. $2 (x + 1) (x - 5)$ $2 (x + 1) (x - 5)$
100. $5 (x + 2) (x - 4)$ $5 (x + 2) (x - 4)$
101. $(2 x - 5) (x + 4)$ $(2 x - 5) (x + 4)$
102. $(2 x + 5) (x - 6)$ $(2 x + 5) (x - 6)$
103. Irreducible
104. Irreducible
105. $3 x^{3} {(x + 2)}^{2}$ $3 x^{3} {(x + 2)}^{2}$
106. $2 x^{3} {(x + 4)}^{2}$ $2 x^{3} {(x + 4)}^{2}$
107. $(3 x + 1) (3 x - 1)$ $(3 x + 1) (3 x - 1)$
108. $(4 x + 5) (4 x - 5)$ $(4 x + 5) (4 x - 5)$
109. ${(4 x + 3)}^{2}$ ${(4 x + 3)}^{2}$
110. ${(2 x + 5)}^{2}$ ${(2 x + 5)}^{2}$
111. Irreducible
112. Irreducible
113. $x (5 x + 2) (9 x - 2)$ $x (5 x + 2) (9 x - 2)$
114. $x (5 x - 1) (5 x + 9)$ $x (5 x - 1) (5 x + 9)$
115. $a (x + a) (x - 8 a)$ $a (x + a) (x - 8 a)$
116. $a (x + 2 a) (x - 12 a)$ $a (x + 2 a) (x - 12 a)$
117. $(x + 4 + 4 a) (x + 4 - 4 a)$ $(x + 4 + 4 a) (x + 4 - 4 a)$
118. $(x + 3 + 6 a) (x + 3 - 6 a)$ $(x + 3 + 6 a) (x + 3 - 6 a)$
119. $3 x^{3} {(x + 2 y)}^{2}$ $3 x^{3} {(x + 2 y)}^{2}$
120. $4 x^{3} {(x + 3 y)}^{2}$ $4 x^{3} {(x + 3 y)}^{2}$
121. $(x + 2 + 5 a) (x + 2 - 5 a)$ $(x + 2 + 5 a) (x + 2 - 5 a)$
122. $(x + 2 + 4 a) (x + 2 - 4 a)$ $(x + 2 + 4 a) (x + 2 - 4 a)$
123. $2 x^{4} {(3 x + y)}^{2}$ $2 x^{4} {(3 x + y)}^{2}$
124. $3 x^{4} {(2 x + y)}^{2}$ $3 x^{4} {(2 x + y)}^{2}$

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Table of Contents for Building Skills

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Table of Contents for
Building Skills