1. Factorize: x² + 5x + 6
2. Factorize: x² + 7x + 12
3. Factorize: x² − 5x + 6
4. Factorize: x² − 9x + 20
5. Factorize: x² − x − 12
6. Factorize: x² + x − 20
7. Factorize: x² − 16
8. Factorize: 4x² − 25
9. Factorize: 9x² − 49
10. Factorize: 25x² − 64
11. Factorize: x² + 10x + 25
12. Factorize: x² − 12x + 36
13. Factorize: 4x² + 12x + 9
14. Factorize: 9x² − 30x + 25
15. Factorize: 16x² + 40x + 25
16. Factorize: 2x² + 7x + 3
17. Factorize: 3x² + 11x + 6
18. Factorize: 5x² + 13x + 6
19. Factorize: 6x² + 13x + 6
20. Factorize: 8x² + 14x + 3
21. Factorize: 6x² − 7x − 3
22. Factorize: 8x² − 2x − 3
23. Factorize: 10x² − 7x + 1
24. Factorize: 12x² + 11x − 5
25. Factorize: 15x² − 11x − 4
26. Factorize: x³ + 8
27. Factorize: x³ − 27
28. Factorize: 8x³ + 27
29. Factorize: 27x³ − 64
30. Factorize: x³ + 3x² + 3x + 1
31. Factorize: x³ − 6x² + 12x − 8
32. Factorize: x³ − 4x² − x + 4
33. Factorize: x³ + x² − 4x − 4
34. Factorize: 2x³ + 5x² − 2x − 5
35. Factorize: 3x³ − 3x² − 12x + 12
36. Factorize: x⁴ − 16
37. Factorize: 16x⁴ − 81
38. Factorize: x⁴ + 2x² + 1
39. Factorize: 9x⁴ − 25y⁴
40. Factorize: a² + 2ab + b²
41. Factorize: a² − 2ab + b²
42. Factorize: a² − b²
43. Factorize: 4a² − 9b²
44. Factorize: x² + 2xy + y²
45. Factorize: x² − 2xy + y²
46. Factorize: 4x² − 12xy + 9y²
47. Factorize: 9x² − 24xy + 16y²
48. Factorize: x² − y² + 2x − 2y
49. Factorize: 2x³ − 18x
50. Factorize: 3x³ + 12x² + 12x
51. Factorize: x² + 11x + 24
52. Factorize: x² − 13x + 40
53. Factorize: 2x² + 9x + 10
54. Factorize: 3x² + 14x + 8
55. Factorize: 4x² + 19x + 12
56. Factorize: 5x² − 13x − 6
57. Factorize: 6x² + x − 2
58. Factorize: 7x² − 29x + 30
59. Factorize: 8x² − 10x − 3
60. Factorize: 9x² + 21x + 10
61. Factorize: x³ − 7x² + 14x − 8
62. Factorize: x³ + 6x² + 11x + 6
63. Factorize: x³ − 3x² − 10x + 24
64. Factorize: x³ + 2x² − 9x − 18
65. Factorize: x³ − 9x² + 26x − 24
66. Factorize: x³ − 5x² − 2x + 24
67. Factorize: x³ + 4x² − x − 4
68. Factorize: x³ − x² − 16x + 16
69. Factorize: 2x³ + x² − 18x − 9
70. Factorize: 3x³ + 6x² − 27x − 54
71. Factorize: x⁴ − 5x² + 4
72. Factorize: x⁴ − 10x² + 9
73. Factorize: x⁴ − 13x² + 36
74. Factorize: x⁴ − 17x² + 16
75. Factorize: x⁴ − 20x² + 64
76. Factorize: x⁴ − 81
77. Factorize: 16x⁴ − 625
78. Factorize: 81x⁴ − 256
79. Factorize: x⁴ + 6x² + 9
80. Factorize: 4x⁴ − 20x² + 25
81. Factorize: x³ + y³
82. Factorize: x³ − y³
83. Factorize: 8a³ + 27b³
84. Factorize: 64m³ − n³
85. Factorize: 27p³ + 125q³
86. Factorize: 125x³ − 8y³
87. Factorize: a⁴ − b⁴
88. Factorize: 16a⁴ − 81b⁴
89. Factorize: x⁴ − y⁴
90. Factorize: 81x⁴ − y⁴
91. Factorize: x² + 6xy + 9y² − 16z²
92. Factorize: 9a² − 24ab + 16b² − c²
93. Factorize: 4x² − 12xy + 9y² − 25
94. Factorize: x⁴ − 2x²y² + y⁴
95. Factorize: a² − b² + 2a − 2b
96. Factorize: x² + 2xy + y² − 49
97. Factorize: x⁴ − 26x² + 25
98. Factorize: 4x⁴ − 13x² + 9
99. Factorize: x⁶ − 64
100. Factorize: 8x³ + 36x² + 54x + 27
Answers
1. (x + 2)(x + 3)
2. (x + 3)(x + 4)
3. (x - 2)(x - 3)
4. (x - 4)(x - 5)
5. (x - 4)(x + 3)
6. (x + 5)(x - 4)
7. (x - 4)(x + 4)
8. (2x - 5)(2x + 5)
9. (3x - 7)(3x + 7)
10. (5x - 8)(5x + 8)
11. (x + 5)²
12. (x - 6)²
13. (2x + 3)²
14. (3x - 5)²
15. (4x + 5)²
16. (2x + 1)(x + 3)
17. (3x + 2)(x + 3)
18. (5x + 3)(x + 2)
19. (3x + 2)(2x + 3)
20. (4x + 1)(2x + 3)
21. (3x + 1)(2x - 3)
22. (4x - 3)(2x + 1)
23. (5x - 1)(2x - 1)
24. (4x + 5)(3x - 1)
25. (5x - 4)(3x + 1)
26. (x + 2)(x² - 2x + 4)
27. (x - 3)(x² + 3x + 9)
28. (2x + 3)(4x² - 6x + 9)
29. (3x - 4)(9x² + 12x + 16)
30. (x + 1)³
31. (x - 2)³
32. (x - 4)(x - 1)(x + 1)
33. (x + 1)(x - 2)(x + 2)
34. (2x + 5)(x - 1)(x + 1)
35. 3(x - 1)(x - 2)(x + 2)
36. (x - 2)(x + 2)(x² + 4)
37. (2x - 3)(2x + 3)(4x² + 9)
38. (x² + 1)²
39. (3x² - 5y²)(3x² + 5y²)
40. (a + b)²
41. (a - b)²
42. (a - b)(a + b)
43. (2a - 3b)(2a + 3b)
44. (x + y)²
45. (x - y)²
46. (2x - 3y)²
47. (3x - 4y)²
48. (x - y)(x + y + 2)
49. 2x(x - 3)(x + 3)
50. 3x(x + 2)²
51. (x + 3)(x + 8)
52. (x - 5)(x - 8)
53. (2x + 5)(x + 2)
54. (3x + 2)(x + 4)
55. (4x + 3)(x + 4)
56. (5x + 2)(x - 3)
57. (3x + 2)(2x - 1)
58. (7x - 15)(x - 2)
59. (4x + 1)(2x - 3)
60. (3x + 2)(3x + 5)
61. (x - 1)(x - 2)(x - 4)
62. (x + 1)(x + 2)(x + 3)
63. (x - 2)(x - 4)(x + 3)
64. (x + 2)(x - 3)(x + 3)
65. (x - 2)(x - 3)(x - 4)
66. (x - 3)(x - 4)(x + 2)
67. (x + 4)(x - 1)(x + 1)
68. (x - 1)(x - 4)(x + 4)
69. (2x + 1)(x - 3)(x + 3)
70. 3(x + 2)(x - 3)(x + 3)
71. (x - 1)(x + 1)(x - 2)(x + 2)
72. (x - 1)(x + 1)(x - 3)(x + 3)
73. (x - 2)(x + 2)(x - 3)(x + 3)
74. (x - 1)(x + 1)(x - 4)(x + 4)
75. (x - 2)(x + 2)(x - 4)(x + 4)
76. (x - 3)(x + 3)(x² + 9)
77. (2x - 5)(2x + 5)(4x² + 25)
78. (3x - 4)(3x + 4)(9x² + 16)
79. (x² + 3)²
80. (2x² - 5)²
81. (x + y)(x² - xy + y²)
82. (x - y)(x² + xy + y²)
83. (2a + 3b)(4a² - 6ab + 9b²)
84. (4m - n)(16m² + 4mn + n²)
85. (3p + 5q)(9p² - 15pq + 25q²)
86. (5x - 2y)(25x² + 10xy + 4y²)
87. (a - b)(a + b)(a² + b²)
88. (2a - 3b)(2a + 3b)(4a² + 9b²)
89. (x - y)(x + y)(x² + y²)
90. (3x - y)(3x + y)(9x² + y²)
91. (x + 3y - 4z)(x + 3y + 4z)
92. (3a - 4b - c)(3a - 4b + c)
93. (2x - 3y - 5)(2x - 3y + 5)
94. (x - y)²(x + y)²
95. (a - b)(a + b + 2)
96. (x + y - 7)(x + y + 7)
97. (x - 1)(x + 1)(x - 5)(x + 5)
98. (2x - 3)(2x + 3)(x - 1)(x + 1)
99. (x - 2)(x + 2)(x² + 2x + 4)(x² - 2x + 4)
100. (2x + 3)³