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Multiplying and Dividing Rational Expressions
| « Simplifying Rational Expressions |
Multiplying and Dividing Rational Expressions
Multiplication
To Multiply a rational expression:
1. Factor all numerators and denominators.
2. Cancel all common factors.
3. Either multiply the denominators and numerators together or leave the solution in factored form.
Example 1
Multiply and then simplify the product
Solution
Example 2
Multiply the following rational expressions:
Solution
1: Factor all numerators and denominators:
2: Cancel all common factors:
3: Multiply the denominators and numerators:
Division of rational expressions
When we divide rational functions we multiply by the reciprocal.
Example 3:
Perform the indicated operations:
Solution 3:
Example 4:
Perform the indicated operations:
Solution 4:
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