Math Calculators, Lessons and Formulas

It is time to solve your math problem

« Simplifying Rational Expressions
Rational Expressions: (lesson 2 of 3)

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

Multiplication Example

Solution

Multiplication Solution

Example 2

Multiply the following rational expressions:

Multiplying Rational Expressions

Solution

1: Factor all numerators and denominators:

Multiplying Rational Expressions

2: Cancel all common factors:

Multiplying Rational Expressions

3: Multiply the denominators and numerators:

Multiplying Rational Expressions

Try yourself

exercisie
answer 1 answer 2 answer 3 answer 4

Division of rational expressions

When we divide rational functions we multiply by the reciprocal.

Example 3:

Perform the indicated operations:

Division of rational expressions

Solution 3:

Division of rational expressions

Example 4:

Perform the indicated operations:

Division of rational expressions

Solution 4:

Division of rational expressions

Try yourself

exercisie
answer 1 answer 2 answer 3 answer 4