9.4 Simplifying Rational Expressions
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Transcript of 9.4 Simplifying Rational Expressions
9.4 Simplifying 9.4 Simplifying Rational ExpressionsRational Expressions
(aka factor & cancel)(aka factor & cancel)
A rational expression “in simplest form” means:
Ex. ISF?
1x
x
3x
22
2x
x
1xx
1
)3x(3
)3x(2
Example 1. Simplify. Then state any restrictions on the variable.
a.
b.
20x9x
25x10x2
2
8x6x
x362
Multiplying Rational Expressions
Multiply
To multiply rational expressions:
27
14
7
3
15x8x
16x
4x
3x7x22
22
Example 2. Multiply. Then state any restrictions on the variable.
a.
Example 2. Multiply. Then state any restrictions on
the variable.
b. a2a
1a
1a
4a22
2
Dividing Rational Expressions
Divide.
24
9
16
3
To divide rational expressions:
Example 3. Divide. Then state any restrictions on the variable.
a.
)5x7)(2x(
)4x(5
)2x)(2x3(
x4
Example 3. Divide. Then state any restrictions on the variable.
b. 12a3
1a
16a
15a2a2
2
Assignment: Pg. 501 #2 – 20e, 28 – 32e
