Study Guide and Intervention (continued) - MathnMind

12-3
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Study Guide and Intervention
Multiplying Rational Expressions
Multiply Rational Expressions To multiply rational expressions, you multiply the
numerators and multiply the denominators. Then simplify.
Find .
2a
Multiply.
2bc2 a d
15ab2cd 2 a
b
3cd
2 2c b
3cd
2 Example 1
d
5ab2 2c 2 d
5ab 2
x 2 16
2x 8
1
(abcd)(2ac)
1(abcd)(15b)
Simplify.
2ac
15b
Simplify.
x x 4
Find .
x2 8x 16
x 4 (x 4)(x 4) x 4
Factor.
x2 8x 16 2(x 4) (x 4)(x 4)
(x 4)(x 4) x 4
Simplify.
2(x 4) (x 4)(x 4)
x 4
2x 8
Multiply.
2 Example 2
16
2x 8
1
1
1 1
Exercises
Find each product.
mn 4
1. 2.
mn
2
a
3
2 6ab
a2b2 b2 x 2 x 4
m 5 16
3. 4.
x 4 x 1
8 m 5
x x 4
5. 6.
x2 8x 16
2 2n 8 2n 4
16
n 2 n 4
2x 8
a
7. 8.
2 a 4
a 5
2 8x 8 x 1
25
x2 2x 1 2x 2
a 2
m 2m 1
9. 10.
m2 2m 1
2 2x 1
2m2 m 1
2 x x 1
x2 3x 2
2 6x 8
2x2 9x 4
20p
11. 12.
2q2 n 3p 3q
10pq p2 q2 2 n 25
n2 6n 5
2 1
n2 7n 10
v
13. 14.
2 v 8v
v2 11v 24
2 a 4v 21
3v2 6v
2 a 3a 10
a2 2a 8
2 7a 12
a2 2a 8
© Glencoe/McGraw-Hill 717 Glencoe Algebra 1
Lesson 12-3