Multiplying and Dividing Rational Expressions

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What is 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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How do you multiply two rational expressions?

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To multiply two rational expressions, multiply the numerators together and the denominators together, then simplify if possible.

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What is the first step in dividing rational expressions?

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The first step is to multiply by the reciprocal of the divisor.

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What does it mean to simplify a rational expression?

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Simplifying a rational expression means reducing it to its lowest terms by canceling common factors in the numerator and denominator.

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How do you find the least common denominator (LCD) of rational expressions?

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The LCD is found by determining the least common multiple of the denominators.

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What is the importance of factoring in simplifying rational expressions?

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Factoring helps to identify and cancel common factors in the numerator and denominator.