2. Factorization 3a3b2c-6a2b2c2+9ab2c3 =

3. Factorization xy+6-2x-3y =

4. Factorization X2(x-y)+Y2(y-x)= 1

5. Factorization 2x2-(a-2b) x-ab =

6. Factorization A4-9A2B2 =

7. If it is known that x3+3x2-4 contains a factor of x- 1, try to decompose x3+3x2-4 =

8. Factorization AB(x2-y2)+XY(a2-B2)= 1

9. Factorization (x+y) (a-b-c)+(x-y) (b+c-a) =1

10. Factorization A2-A-B2-B =

1 1. Factorization (3a-b) 2-4 (3a-b) (a+3b)+4 (a+3b) 2 =

12. Factorization (A+3)2-6(A+3)= 1

13. Factorization (x+1) 2 (x+2)-(x+1) (x+2) 2 =

14. If 2× 4× (32+1)× (34+1)× (38+1)× (316+1) = 3n.

15. Using the square difference formula, find the standard decomposition formula 489 1 =.

16.2x+ 1 is a factor of 4x2+5x- 1 A: Yes.

17. If 6x2-7x+m is a multiple of 2x-3, then m =

The common factor of 18.x2+2x+ 1 and x2- 1 is.

19. If x+2 is a factor of x2+kx-8, find k =.

20. If 4x2+8x+3 is a multiple of 2x+ 1, please factorize 4x2+8x+3 =.

2 1.2x+ 1 is a factor of 4x2+8x+3. Please factorize 4x2+8x+3 =.

22. The factorial of (1) x+2 (2) x+4 (3) x+6 (4) x-6 (5) x2+2x3+24, which one is listed in X2-2x-24 (all pairs have scores).

23. Break down the following categories:

( 1)abc+ab-4a= .

(2) 16x2-8 1= .

(3)9x2-30x+25= .

(4)x2-7x-30= .

24. if x2+ax- 12 = (x+b) (x-2), where a and b are integers, then ab =.

25. Please fill in the appropriate number: x2- 16x+= (x-) 2.

26. Break down the following categories:

( 1)xy-xz+x =； (2)6(x+ 1)-y(x+ 1)= 1

(3)x2-5x-px+5p =； (4) 15 x2- 1 1x- 14 =

27. let 7x2- 19x-6 = (7x+a) (bx-3), where a and b are integers, then 2a+b =

28. Expand 99982-4 = with multiplication formula.

29. Calculate the value of (1.99) 2-4× 1.99+4 as follows.

30. If x2+AX- 12 can be decomposed into (x+6) (x+b) and both a and b are integers, then a+b =.

3 1. It is known that 9X2-MX+25 = (3x-n) 2 and n is a positive integer, then m+n =.

32. If 2x3+11x2+18x+9 = (x+1) (ax+3) (x+b), then A-b =.

33.2992-3992=

34. Fill in the appropriate numbers to make it completely flat 4x2-20x+.

35. Factorization x2-25 =.

36. Factorization x2-20x+ 100 =.

37. Factorization x2+4x+3 =.

38. Factorization 4x2- 12x+5 =.

39. Break down the following categories:

( 1)3ax2-6ax= .

(2)x(x+2)-x= .

(3)x2-4x-ax+4a= .

(4)25x2-49= .

(5)36x2-60x+25= .

(6)4x2+ 12x+9= .

(7)x2-9x+ 18= .

(8)2x2-5x-3= .

(9) 12x2-50x+8= .

40. Factorization (x+2) (x-3)+(x+2) (x+4) =.

4 1. Factorization 2ax2-3x+2ax-3 =.

42. Factorize 9X2-66x+ 12 1 =.

43. Factorization 8-2x2 =.

44. Factorization x2-x+ 14 =.

45. Factorization 9X2-30x+25 =.

46. Factorization -20x2+9x+20 =.

47. Factorization 12x2-29x+ 15 =.

48. Factorization is 36x2+39x+9 =.

49. Factorization 2 1x2-3 1x-22 =.

50. Factorization 9x4-35x2-4 =.

5 1. Factorization (2x+1) (x+1)+(2x+1) (x-3) =.

52. Factorization 2ax2-3x+2ax-3 =.

53. Factorize X (y+2)-X-Y- 1 =.

54. Factorization (x2-3x)+(x-3) 2 =.

55. Factorize 9X2-66x+ 12 1 =.

56. Factorization 8-2x2 =.

57. Factorize x4- 1 =.

58. Factorization x2+4x-xy-2y+4 =.

59. Factorization 4x2- 12x+5 =.

60. Factorization 2 1x2-3 1x-22 =.

6 1. Factorization 4x2+4xy+y2-4x-2y-3 =.

62. Factorization 9X5-35x3-4x =.

63. Break down the following categories:

( 1)3x2-6x= .

(2)49x2-25= .

(3)6x2- 13x+5= .

(4)x2+2-3x= .

(5) 12x2-23x-24= .

(6)(x+6)(x-6)-(x-6)= .

3(x+2)(x-5)-(x+2)(x-3)= .

(8)9x2+42x+49= .

64.9X2-30x+K can be transformed into a completely flat mode (3x+A) 2, then K = A =.

65. If x2+MX- 15 can be decomposed into (x+n) (x-3) and both m and n are integers, then m = n =.

66. Find the sum, difference, product or quotient of the following.

( 1)(65 12 )2-(34 12 )2= 。

(2)(79 13 )2+2×79 13 ×23 +49 = 。

(3) 1998×0.48-798×0.48-798×0.52+ 1998×0.52= 。

67. Break down the following categories:

( 1)(x+2)-2(x+2)2= .

(2)36x2+39x+9= .

(3)2x 2+ax-6x-3a = 1 .

(4)22x2-3 1x-2 1= .

68. Fill in the formula of square difference, square of sum or square of difference.

( 1)49 x2- 1 =(+ 1)(- 1)

(2)x2+26x+ =(x+ )2

(3)x2-20x+ =(x- )2

(4)25x2-49y2=(5x+ )(5x-)

(5)-66x+ 12 1 =(- 1 1)2

69. Use the formula to find the following values.

(1) Find 5992-4992 = (2) Find (75 12) 2-(24 12) 2 =

(3) find 392+39× 22+ 1 12 = (4) find 172-34× 5+52 =

(5) If 2x+5y = 13+7 and x-4y = 7- 13, find 2x2-3xy-20y2 =

70. Factorization 3ax2-6ax= =.

7 1. Factorization (x+ 1) x-5x =.

72. Factorization (2x+1) (x-3)-(2x+1) (x-5) =1

73. Factorization xy+2x-5y- 10 =

74. Factorizing X2y2-X2-Y2-6xy+4 =.

Third, the calculation problem

1. Factorization x3+2x2+2x+ 1

2. Factorizing A2B2-A2-B2+ 1

3. Try division to determine whether 15x2+x-6 is a multiple of 3x+2.

4. Is (1) 3x+2 a factor of 6x2+x-2? (Write the formula)

(2) If yes, please factorize 6x2+x-2.

5.A = 199 12, B = 99 12, (1) Find the value of A2-2AB+B2? (2) What is the value of A2-B2?

Is 6.2x+ 1 a factor of 4x2+8x+3? If yes, please factorize 4x2+8x+3.

7. Factorize (1) 3ax2-2x+3ax-2 (2) (x2-3x)+(x-3) 2+2x-6.

8. Let 6x2- 13x+k be a multiple of 3x-2, and find the value of k. ..

Is 9.3x a factor of x2? (Give reasons)

10. If -2x2+AX- 12 is divisible by 2x-3, find (1) a =? (2) Factorization -2x2+AX- 12.

1 1.( 1) Factorization AB-CD+AD-BC

(2) Use (1) to find1990× 29-/kloc-0 /× 765438+1990× 71-29×/kloc-.

12. Use the square difference formula to find 1992-992 =?

13. Find (67 12) 2-(32 12) 2 =?

14. Break down the following categories:

( 1)(2x+3)(x-2)+(x+ 1)(2x+3)(2)9 x2-66x+ 12 1

15. Please factorize 16x2-24x+9 with different factorization methods you have learned.

(1) Method 1: (2) Method 2:

16. Break down the following categories:

(1) 4x2-25 (2) x2-4xy+4y2 (3) Find A2-B2+2bc-C2 by the method of (1)(2).

17. Factorization

( 1)8 x2- 18(2)x2-(a-b)x-ab

18. Break down the following categories

( 1)9 x4+35 x2-4(2)x2-y2-2yz-z2

(3)a(b2-c2)-c(a2-b2)

19. Factorization (2x+1) (x+1)+(2x+1) (x-3)

20. Factorization 39x2-38x+8

2 1. Find the value of (65 12) 2-(34 12) 2 by factorization.

22. Decomposition A (B2-C2)-C (A2-B2)

23.a, B and C are integers. If A2+B2+C2+4A-8B- 14C+69 = 0, find the value of A+2B-3C.

24. Factorization 7 (x-1) 2+4 (x-1) (y+2)-20 (y+2) 2.

25. decompose xy2-2xy-3x-y2-2y- 1

26. Factorization 4x2-6ax+ 18a2

27. decompose 20a3bc-9a2bc-20ab3c

28. Factorization 2 x2-5x+2ax-5

29. Factorization 4x3+4x2-25x-25

30. Factorization (1-xy) 2-(y-x) 2

3 1. factorization

( 1)mx2-m2-x+ 1(2)a2-2ab+B2- 1

32. Break down the following categories

( 1)5x 2-45(2)8 1x 3-9x(3)x2-y2-5x-5y(4)x2-y2+2yz-z2

33. Factorization: xy2-2xy-3x-y2-2y- 1

34. Factorize Y2 (x-y)+Z2 (y-x)

35. Let x+ 1 be a factor of 2x2+AX-3, and find a =? (2) Find two roots of 2x2+AX-3 = 0

36.( 1) factorization x2+x+y2-y-2xy =?

(2) If (1) x-y = 99, what is the value of x2+x+y2-y-2xy?