Study Guide and Intervention (continued) - MathnMind

12-4
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Study Guide and Intervention
Dividing Rational Expressions
Divide Rational Expressions To divide rational expressions, multiply by the
reciprocal of the divisor. Then simplify.
Find .
12c 10ab
c2d2 2 c d
5a2b2 2d2 c
10ab
2d2 12c
10ab
2 Example 1
d
5a2b2 12c 2 d
5a 2 b 2
Example 2
Find .
x
(x 9)(x 3) (x 2)(x 1)
(x 9)(x 2) x 3
(x 9)(x 3) (x 2)(x 1)
(x 9)(x 2) x 3
x 1
2 x x 2
x 3
2 x x 3 6x 27
x2 x 2 x2 11x 18
2 x x 3
x2 x 2
6x 27
x2 11x 18
2 6x 27
x2 11x 18
1 1 1
1 1 1
Exercises
Find each quotient.
12ab b
n n
1. 2.
a2b2 a
4 m
m 5 m 5
3. 6xy 4.
8
8 16
3xy 2
12c 10ab
c2d2 24
abd
2 1 1 2
1 1
d
5a2b2 1
a b 1 d
y y 6
5. 6.
y 7
2 n 36
y2 49
2 2n 4 4
2n n
6a
7. 8.
2 a bc
8st2u 2b3 x x 3
c
15
3s2t 2 5x 6
5
m
9. 10.
2 m 13m 42
3m2 2 x x 4
49
x 2
m
2 6x 8
x2 4x 4
p
11. 12.
2 q2 p
p q
2 2pq q2 n 3 n
4n 12
p q
2 5n 6
n2 3n
a a 3
13. 14. 4a2 1
2 a 9
2a2 13a 7
2 a 9
a2 25
2 7a 12
a2 3a 10
© Glencoe/McGraw-Hill 723 Glencoe Algebra 1
Lesson 12-4