LCD - Rational Expressions

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What is the definition of the Least Common Denominator (LCD)?

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The Least Common Denominator (LCD) is the smallest multiple that is common to the denominators of two or more fractions.

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How do you find the LCD of two rational expressions?

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To find the LCD, factor each denominator into its prime factors, then take the highest power of each factor that appears in any of the denominators.

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What is an excluded value in rational expressions?

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An excluded value is a value of the variable that makes the denominator of a rational expression equal to zero.

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What happens when you substitute an excluded value into a rational expression?

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Substituting an excluded value into a rational expression results in an undefined expression.

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What is the first step in finding the LCD of multiple fractions?

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The first step is to factor each denominator completely.

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Why is it important to find the LCD when adding or subtracting rational expressions?

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Finding the LCD allows you to combine the fractions into a single expression by ensuring they have a common denominator.