Question

求八年级数学分解因式，提公因式，完全平方式各20道

Answer 1

1. ax+by+ay+bx
2. x^3+1
3. x^2+x^3
4. x^2+x^3-2
5. x^2-6x+8
6. x^2-12x+35
7. (x^3-1)+(x-1)(6x+11)
8. x^4-1
9. x^4+4
10. b^2+ab+ac+bc
11. x^3+y^3+z^3-3xyz
12. x^6+8x^3+9
13. x^2-100x+99
14. x^2-x-y^2-y
15. 7x^2-19x-6
16. 8x^2-6x-9
17. x+1)(x+2)-12
18. x^2+(p+q)x+pq
19. 3x^3-6x^2+3
20. a^2(x－2a)^2－a(x－2a)^2
21. 25m^2－10mn＋n^2
22. x^2-3x-28
23. y^4+2y^3-3y^2
24. (x－1)^2*(3x－2)＋(2－3x)
25. (x－2)^2－x＋2
26. x^2-12x-28
27. 12a^2*b(x－y)－4ab(y－x)
28. a^2＋5a＋6
29. x^11-2x^10+x^9
30. x^2+x
31. x^3+x
32. x^4+x
33. 100x^2+30xy+2y^2
34. 6y^2-16y+8
35. 6-7a-5a^2
36. 3x^2-17x+10
37. 6a^2-11ab+3b^2
38. 2m^3+3m^2-5m
39. (x+y)^2-2(x+y)-3
40. a^2-b^2+2ab-c^2
41. m^2+2mn+n^2-1
42. x^2-4y^2+4yz-z^2
43. 9x^2-4y^2-z^2+4yz
44. -25+a^2+9b^2-6ab
45. 2x^2-100x-102
46. x^2*y^2-7xy+10
47. x^2-x-2
48. -x^2*y+6xy-8y
49. x^2-9y^2-x+3y
50. x^2-7x-8

答案：

1. (a+b)(x+y)
2. (x+1)(x^2-x+1)
3. x^2*(x+1)
4. (x-1)(x^2-2x+2)
5. (x-2)(x-4)
6. (x-5)(x-7)
7. (x-1)(x+3)(x+4)
8. (x^2+1)(x-1)(x+1)
9. (x^2-2x+2)(x^2+2x+x)
10. (b+c)(b+a)
11. (x+y+z)(x^2+y^2+z^2-xy-yz-xz)
12. (x+1)(x^2-x+1)(x+2)(x^2-2x+4)
13. (x-99)(x-1)
14. (x+y)(x-y-1)
15. (7x+2)(x-3)
16. (2x-3)(4x+3)
17. (x+5)(x-2)
18. (x+p)(x+q)
19. (x-1)(x^2-x-1)
20. a(a-1)(x－2a)^2
21. (5m-n)^2
22. (x-7)(x+4)
23. y^2(y-1)(y+3)
24. x(x－2)(3x－2)
25. (x-2)(x-3)
26. (x-14)(x+2)
27. 4ab(3a+1)(x-y)
28. (a+2)(a+3)
29. x^9*(x-1)^2
30. x(1+x)
31. x(1+x^2)
32. x(1+x)(1-x+x^2)
33. 2(5x+y)(10x+y)
34. 2(3y-2)(y-2)
35. (3-5a)(a+2)
36. (3x-2)(x-5)
37. (2a-3b)(3a-b)
38. m(m-1)(2m+5)
39. (x+y-3)(x+y+1)
40. (a+b-c)(a+b+c)
41. (m+n+1)(m+n-1)
42. (x+2y-z)(x-2y+z)
43. (3x+2y-z)(3x-2y+z)
44. (a-3b-5)(a-3b+5)
45. 2(x-51)(x+1)
46. (xy-5)(xy-2)
47. (x-2)(x+1)
48. -y(x-2)(x-4)
49. (x-y)(x+3y-1)
50. (x-8)(x+1)