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Define a rational expression.

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

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What is the first step in simplifying a rational expression?

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The first step is to factor both the numerator and the denominator completely.

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What does it mean to reduce a rational expression?

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

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What is the difference between simplifying and reducing a rational expression?

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Simplifying involves factoring and canceling, while reducing specifically refers to lowering the expression to its simplest form.

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What is a common factor in rational expressions?

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A common factor is a polynomial that appears in both the numerator and the denominator.

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What is the importance of factoring in operations with rational expressions?

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Factoring is crucial as it allows for the identification and cancellation of common factors, simplifying the expression.