Multiplication and division of rational expressions

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Define rational expressions.

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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 process for dividing rational expressions?

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To divide rational expressions, multiply the first expression by the reciprocal of the second expression.

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What is the product of two rational expressions?

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The product of two rational expressions is found by multiplying the numerators together and the denominators together.

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What is the first step in simplifying a rational expression before multiplying?

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Factor both the numerator and the denominator completely.

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

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The LCD is the least common multiple of the denominators of the rational expressions.

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What does it mean to 'cancel' in rational expressions?

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To 'cancel' means to reduce common factors in the numerator and denominator.

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