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- Multiplying and Dividing Rational Expressions

« Simplifying Rational Expressions |

Rational Expressions: (lesson 2 of 3)

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:

**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: