Multiplication and Division of Rational Expressions
Simplifying Rational Expressions We define a Rational Expression as a fraction where the numerator and the denominator are polynomials in one or more variables.
Examples
Exercises:
Multiplication of Fractions Recall that when we multiply fractions we first cross cancel. For example:
8 21
4 7 28 When we multiply rational expressions we follow the same approach. First we factor then we cross cancel. Examples:
Exercises Multiply and simplify
Division of Fractions Recall that when we divide fractions we multiply by the reciprocal. For example:
8 For rational functions we do the same thing. To divide rational functions, multiply by the reciprocal and then factor and cross cancel.
Example
Exercises
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