Name
Class
Date
Practice 12-3
Multiplying and Dividing Rational Expressions
2. 83 4 16
27
3. a234 b 4 16
21
b
4. 29 4 a210
3
5. 18m2 4 9m
8
4m
? 4x
6. 8x
12 6
9 ? 25x
7. 15x
27
3
4 16x
8. 12x
25
5
6x3 4 9x2
9. 18x
10x4
4r3 ? 25
10. 10 16r2
2
4 20n
11. 8n
3
9
2
4 7x4
12. 14x
5
3
? 33n
13. 4n
11 36n2
3
14. 24r2 4 12r3
35r
14r
2
9
15. a 32 4 ? a 1
2
16. 4b 22 12 ? b 6b
23
5b
? 10
17. 2b
5 b2
4 b
18. b 2b
13
b13
19.
5y3 14y
7 ? 30y2
20.
4p 1 16
p14
4
5p
15p3
21.
3(h 1 2)
4h12
h13
h13
3
2
2
22. a 23 a ? a a2 1
a
2
6h ? 4h 1 12
23. hh 1
13
h16
2 2 1 n2 2 4
?
24. nn 1
2
n11
2
26
25. x x2 x ? 3x
3x 2 3
2 10 ?
3
26. 5x
x12
3x 2 6
2
16 4 3x 1 12
27. xx 2
x
24
x2 2 1 4 x 1 1
28. 3x
23
3
2
2
29. x 2 2 2x 2 24 ? x2 1 5x 1 6
x 2 5x 2 6 x 1 6x 1 8
2
2
30. x2 1 2x 2 35 ? x2 1 3x 2 18
x 1 4x 2 21 x 1 9x 1 18
2
2
31. 3x 1 14x 1 8 ? 2x 1 9x 2 5
2
2
2x 1 7x 2 4 3x 1 16x 1 5
2
2
32. 82 1 2x 2 x 4 x 22 11x 1 28
x 1 7x 1 10
x 2 x 2 42
2
2 2 x 2 6
? 2x 29
33. x 3x
29
x 1 6x 1 9
2
2
x22
34. 6x 1213x 1 6 4 6x 1
4x 2 9
4x2 2 1
2
2
35. x 22 2x 2 35 4 x 12 7x 1 10
3x 1 27x
6x 1 12x
36.
x2 2 x 2 6 4
x2 2 25
2
2
2x 1 9x 1 10
2x 1 15x 1 25
2
2
38. x2 2 4x 2 32 ? 3x2 1 17x 1 10
x 2 8x 2 48 3x 2 22x 2 16
14x 2 8x2 4 4x2 1 13x 2 12
37. 15 2
2
4x 1 4x 2 15
3x2 1 13x 1 4
39.
2
9x2 2 16
4 6x2 1 11x 1 4
2 11x 1 4
8x 1 10x 1 3
6x2
40. Two darts are thrown at random onto the large
rectangular region shown. Find the probability
that both darts will land in the shaded region.
x1
2x 2
3x
6x 2
4
Lesson 12-3 Practice
Algebra 1 Chapter 12
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6
1. 95 ? 15
All rights reserved.
Multiply or divide.