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 simplify 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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Factor both the numerator and the denominator.

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What is the importance of identifying common factors in rational expressions?

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Identifying common factors allows you to simplify the expression, making calculations easier.

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How do you multiply two rational expressions?

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Multiply the numerators together and the denominators together, then simplify if possible.

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What is the process to add or subtract rational expressions?

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Find a common denominator, rewrite each expression, and then combine the numerators.

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What is a common mistake when simplifying rational expressions?

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Canceling terms that are not factors of both the numerator and denominator.