初二初三经典因式分解练习题62道答案.doc

初二初三经典因式分解练习题62道及答案1. 3abc12abc29abc 2. 16x813. xy62x3y 4. x (xy)y (yx) 5. 2x(a2b)xab 6. a49ab 7. x3x4 8. ab(xy)xy(ab) 9. (xy)(abc)(xy)(bca) 10. aabb 11. (3ab)4(3ab)(a3b)4(a3b) 12. (a3) 6(a3) 13. (x1) (x2)(x1)(x2) 1416x81 15. 9x30x25 16. x7x30 17. x(x2)x 18. x4xax4a 19. 25x49 20. 36x60x25 21. 4x12x9 22. x9x18 23. 2x5x3 24. 12x50x8 25. 3x6x 26. 49x25 27. 6x13x5 28. x23x 29. 12x23x24 30. (x6)(x6)(x6) 31. 3(x2)(x5)(x2)(x3) 32. 9x42x4933. x42x35x 34.3x63x35. x25 36. x20x100 37. x4x3 38. 4x12x5 39. 3ax6ax 40. (x2)(x3)(x2)(x4) 41. 2ax3x2ax3 42. 9x66x121 43. 82x 44. xx14 45. 9x30x25 46. 20x9x20 47. 12x29x15 48. 36x39x9 49. 21x31x22 50. 9x435x4 51. (2x1)(x1)(2x1)(x3) 52. 2ax3x2ax3 53. x(y2)xy1 54. (x3x)(x3) 55. 9x66x121 56. 82x57. x41 58. x4xxy2y4 59. 4x12x5 60. 21x31x22 61. 4x4xyy4x2y3 62. 9x535x34x 初二初三经典因式分解练习题62道答案1. 3abc12abc29abc 2. 16x81=3ab2c(a2-4ac+3c2)=(4x)2-92=3ab2c(a-3c)(a-c)=(4x+9)(4x-9)3. xy62x3y 4. x (xy)y (yx) =xy-(3x+3y)+6=x(xy)- y(xy)=(x-3)(y-2)=( x-y)(xy)=(x-y)2(x-y)5. 2x(a2b)xab 6. a49ab =2x+(2b-a)x-ab=a2(a2-9b2)=(2x-a)(x+b)=a2(a+3b)(a-3b)7. x3x4 8. ab(xy)xy(ab) =X3-1+3x2-3 = ab x-ab yxy a-xy b=(x-1)( x2+x+1)+3(x2-1) = ab xxy a-(ab y+xy b)=(x-1) ( x2+x+1)+3(x+1)(x-1) = ax(bx+ay)-by(ay+xb)=(x-1) ( x2+x+1)+ 3(x+1) =(ax-by)(bx+ay)=(x-1) ( x2+4x+4)=(x-1)(x+2)29. (xy)(abc)(xy)(bca) 10. aabb 11. (3ab)4(3ab)(a3b)4(a3b) 12. (a3) 6(a3) 13. (x1) (x2)(x1)(x2) 1416x81 15. 9x30x25 16. x7x30 17. x(x2)x 18. x4xax4a 19. 25x49 20. 36x60x25 21. 4x12x9 22. x9x18 23. 2x5x3 24. 12x50x8 25. 3x6x 26. 49x25 27. 6x13x5 28. x23x 29. 12x23x24 30. (x6)(x6)(x6) 31. 3(x2)(x5)(x2)(x3) 32. 9x42x4933. x42x35x 34.3x63x35. x25 36. x20x100 37. x4x3 38. 4x12x5 39. 3ax6ax 40. (x2)(x3)(x2)(x4) 41. 2ax3x2ax3 42. 9x66x121 43. 82x 44. xx14 45. 9x30x25 46. 20x9x20 47. 12x29x15 48. 36x39x9 49. 21x31x22 50. 9x435x4 51. (2x1)(x1)(2x1)(x3) 52. 2ax3x2ax3 53. x(y2)xy1 54. (x3x)(x3) 55. 9x66x121 56. 82x57. x41 58. x4xxy2y4 59. 4x12x5 60. 21x31x22 61. 4x4xyy4x2y3 62. 9x535x34x 11