Adding and Subtracting Rational Expressions

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What is a rational expression?

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A rational expression is a fraction where both the numerator and the denominator are polynomials.

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How do you add rational expressions with the same denominator?

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How do you subtract rational expressions with the same denominator?

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What is the first step in adding or subtracting rational expressions with different denominators?

Back

The first step is to find a common denominator for the rational expressions.

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Front

What is the process for simplifying a rational expression?

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To simplify a rational expression, factor both the numerator and the denominator and then cancel any common factors.

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What does it mean to find a common denominator?

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Finding a common denominator means identifying a shared multiple of the denominators of two or more fractions to combine them.