Multiplying & 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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What does it mean to simplify a rational expression?

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To simplify a rational expression means to reduce it to its simplest form by canceling common factors in the numerator and denominator.

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What are excluded values in rational expressions?

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Excluded values are values of the variable that make the denominator zero, which are not allowed in rational expressions.

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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?

Back

The first step in dividing rational expressions is to multiply by the reciprocal of the divisor.

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What is the reciprocal of a fraction?

Back

The reciprocal of a fraction is obtained by flipping the numerator and denominator.

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What does it mean to state the excluded values when simplifying?

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It means to identify and list the values of the variable that make the denominator zero.