Adding and Subtracting Rational Expressions

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Define 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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What is the first step in adding or subtracting rational expressions with the same denominator?

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The first step is to combine the numerators while keeping the denominator the same.

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

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The first step is to find a common denominator.

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What does it mean to simplify a rational expression?

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To simplify a rational expression means to reduce it to its lowest terms by factoring and canceling common factors.

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What is a common denominator?

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A common denominator is a shared multiple of the denominators of two or more fractions.

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