Adding and Subtracting Rational Expressions.notebook

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Adding and Subtracting Rational Expressions

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Rational expressions are added and subtracted in the same way that rational numbers are added and subtracted.

You must have common denominators before you add or subtract.

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Steps for Adding and Subtracting Rational Expressions:1. Factor, if necessary.2. Reduce within each fraction, if possible.3. Find an LCD.4. Write as equivalent fractions using the

LCD.5. Reduce, if possible.6. Leave the denominators in factored form.

Adding and Subtracting Rational Expressions.notebook

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Example:

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Example:

Adding and Subtracting Rational Expressions.notebook

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Example:

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Example:

Adding and Subtracting Rational Expressions.notebook

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Example:

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Adding and Subtracting Rational Expressions.notebook

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Example:

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Adding and Subtracting Rational Expressions.notebook

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Pull

Pull

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Pull

Pull

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Pull

Pull

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Adding and Subtracting Rational Expressions.notebook

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Pull

Pull

Example 1Add and simplify.

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Example 2

Subtract and simplify.

Pull

Pull

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Example 3

Subtract and simplify.

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Example 4

Add and simplify.

Adding and Subtracting Rational Expressions.notebook

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Example 5

Add and simplify.

Pull

Pull

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Simplify:

Pull

Pull

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Simplify:

Since the denominators are not the same, they cannot be subtracted right away.

The lowest common denominator is 6x.

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Adding and Subtracting Rational Expressions.notebook

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Adding and Subtracting Rational Expressions.notebook

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Adding and Subtracting Rational Expressions.notebook

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Adding and Subtracting Rational Expressions.notebook

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Adding and Subtracting Rational Expressions.notebook

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