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Worksheets

因式分解

Total questions: 51

Worksheet time: 2hrs 26mins

Name
Class
Date
1.

 x2 – 64

a)

(x+8)(x-8)

b)

(x+8)(x−64)\left(x+8\right)\left(x-64\right)  

c)

(x2+64)(x−8)\left(x^2+64\right)\left(x-8\right)  

d)

(x+8)(x+8)\left(x+8\right)\left(x+8\right)  

2.

u2−100u^2-100  

a)

(u2−100)(u2+100)\left(u^2-100\right)\left(u^2+100\right)  

b)

(u+100)(u−10)\left(u+100\right)\left(u-10\right)  

c)

(u+10)(u−10)\left(u+10\right)\left(u-10\right)  

d)

(u+100)(u2+1)\left(u+100\right)\left(u^2+1\right)  

3.

81 – n2

a)

(81+n)(9−n)\left(81+n\right)\left(9-n\right)  

b)

(9+n)(9−n)\left(9+n\right)\left(9-n\right)  

c)

(n+9)(n−9)\left(n+9\right)\left(n-9\right)  

d)

(81+n)(9+n)\left(81+n\right)\left(9+n\right)  

4.

4x2 – y2

a)

(4x+y)(4x−y)\left(4x+y\right)\left(4x-y\right)  

b)

(2x+y)(2x−y)\left(2x+y\right)\left(2x-y\right)  

5.

9x2 – 16y2

6.

64 – 81s2

7.

 x2 + 2x + 1

8.

x2 + 14x + 49

9.

s2 + 20s + 100

10.

a2 +2a + 1

11.

4 + 4m + m2

12.

9x2 + 6x + 1

13.

4y2 + 12y + 9

14.

4h2 + 20h + 25

15.

 x2 – 4x + 4

16.

 s2 – 16s + 64

17.

36 – 12k + k2

18.

64h2 – 48h + 9

19.

16p2 – 56p + 49

20.

h2 – 6hk + 9k2

21.

–10pq + 25p2 + q2

22.

x2 + 4y2 – 4xy

23.

 x3 + 27

24.

p3 + 216

25.

64 + k3

26.

y3 + 125

27.

343h3 + 27

28.

m3 + 512n3

29.

8p3 + 729q3

30.

y3 - 27

31.

 x3 - 64

32.

h3 – 1 000

33.

512p3 – q3

34.

8h3 – 125

35.

 x3 – 64y3

36.

 27x3 – 1

37.

 x2 – 3x + 2

38.

 x2 – 12x + 11

39.

 x2 + 6x – 7

40.

 x2 + 18x – 19

41.

x2 – 7x + 10

42.

2x2 + 3x – 5

43.

3x2 – 10x + 3

44.

7x2 – 4x – 11

45.

10x2 – 11x + 3

46.

9x2 – 16x – 4

47.

13x + 6x2 – 28

48.

6x2 + 31x + 14

49.

 x2 – 4x – 21

50.

x2 – 22 – 9x

51.

 x2 + 8x – 9