9th Class Sample Papers CBSE & All India

FACTORIZATION OF POLYNOMIALS

1. x2y – xy2 .
2. a(x – 2) + b(2 – x).
3. 35x3y – 49xy2.
4. x3 + x – 3x2 – 3.
5. 18x5y7z7 – 81x7y5z7 + 5x7y7z5.
6. a(b – c)2 + b(b – c).
7. x(x – y)3 + 3xy(x – y).
8. 25a(x – y) +30b(y – x).
9. 6xy + 6 – 9y – 4x.
10. abx2 + (ay – b)x – y.
11. (ax + by)2 + (bx – ay)2.
12. ab(x2 + 1) + x(a2 + b2).
13. a(a – 2b – c) + 2bc.
14. x3 – 2x2y + 3xy2 – 6y3.
15. 6ab – b2 + 12ac – 2bc.
16. a2/4b2 – 1/3 + b2/9a2,a 0,b  0.
17. [x – 1/x]2 + 6[x – 1/x] + 9.
18. 4x2 - 43x + 3.
19. x6 – 8x3 + 45x.
20. (x + 2)(x2 + 25) – 10x2 – 20x.
21. x2 + 1/x2 – 6.
22. 2a2 + 26 ab + 3b2.
23. (a – b + c)2 + (b – c + a)2 + 2(a – b + c)(b – c + a).
24. a2 +b2 + 2(ab + bc + ca).
25. 4(x – y)2 – 12(x – y)(x + y) + 9(x + y)2.
26. 100 – 9p3.
27. x2 – 0.25.
28. 4x2 – 3.
29. 3x2 – 7y2.
30. 25x2 – 10x + 1 – 36y2.
31. 81x4 – 256y4.
32. 3x3y – 243xy3.
33. 49(a – b)2 – 25(a +b)2.
34. x – y – x2 + y2.
35. a2 – b2 + 2bc – c2.
36. 4(xy – 1)2 – 9(x – 1)2.
37. a2 + 4b2 – 4ab – 4c2.
38. 16a4 – b4.
39. a4b4 – 81c4.
40. xy9 – yx9.
41. x4 + x2y2 +y4.
42. 27a3 + 8.
43. (a + b)3 – (a – b)3.
44. 8x3 – (2x – 3y)3.
45. a8 – a2b6.
46. a3 - 55b3.
47. 27a3 – 64b3.
48. a6 – 729.
49. (2x +3y)3 – (2x – 3y)3.
50. 8a3 + 8y3 + 6x2y + 12xy2.
51. x3 – 12x(x – 4) – 64.
52. a3x3 – 3a2bx2 + 3ab2x – b3.
53. x2 + 12x – 45.
54. x2 – 22x + 120.
55. a3b3 – 9a2b2 + 20ab.
56. (a + b)2 – 5(a + b) + 4.
57. (a2 – a)2 – 8(a2 – a) + 12.
58. m8 –11m4n4 – 80n8.
59. x2 + 62x + 10.
60. x2 + 55x + 30.
61. x2 + 23x – 24.
62. (x2 + x)2 + 4(x2 + x) – 12.
63. 6 – 35x – 6x2.
64. 5x2 – 32x + 12.
65. 6x2 + 17x + 12
66. 63x2 – 47x + 53.
67. 2x2 + 22 – 15.
68. 23x2 + x – 53.
69. x2/4 + 2x – 5.
70. a/bx2 + [a/b + c/d]x + c/d, b  0, d  0.
71. 5x2 + 33xy – 14y2
72. 12(a + 1)2 – 25(a + 1) (b + 2) + 12(b + 2)2.
73. 5x6 – 7x3 – 6.
74. 2x2 – x + 1/8.
75. x2 + 12/35 x + 1/35.
76. 2x2 + 3x + 2.
77. 2x2 + 33x + 2.
78. 7x2 + 214 x + 2.
79. 8x3y3 + 27a3
80. x3/216 – 8y3.
81. 54x6y + 2x3y4.
82. (a – 2b)3 – 512b3.
83. (a + b)3 – 8(a – b)3.
84. x6 + y6.
85. x4y4 – xy.
86. x3 + 6x2 + 12x + 16.
87. a3 + b3 +a + b.
88. 27x3 – y3 – z3 – 9xyz.
89. 1/27 x3 – y3 + 125 z3 + 5xyz.
90. 8x3 + 27y3 – 216z3 + 108xyz.
91. (3x - 2y)3 + (2y – 4z)3 + (4z – 3x)3.
92. [x/2 + y +z/3]3 + [x/3 – 2y/3 + z]3 + [-5x/6 – y/3 – 4z/3]3.
93. 22 a3 + 33 b3 + c3 - 36abc.
94. 33 a3 – b3 - 55 c3 - 315 abc.
95. 8x3 – 125y3 + 180xy + 216.
96. Find the value of x3 + y3 – 12xy + 64,when x + y = -4.
97. Multiply: (i) x2 +4y2 + z2 +2xy + xz – 2yz by x – 2y – z.
15xy +12x – 20y + 16 by 3x – 5y + 4.