Multiplying Rational Expressions

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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 multiplying rational expressions?

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The first step is to multiply the numerators together and the denominators together.

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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 canceling common factors.

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What is a common mistake when multiplying rational expressions?

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A common mistake is forgetting to factor the polynomials before canceling.

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Front

Define the term 'factor' in the context of polynomials.

Back

To factor a polynomial means to express it as a product of its factors.

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What is the importance of factoring in multiplying rational expressions?

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Factoring allows for the cancellation of common terms, simplifying the expression.