Rational Expressions Operations

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What is a rational expression?

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A rational expression is a fraction where both the numerator and the denominator are polynomials.

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How do you simplify a rational expression?

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To simplify a rational expression, factor the numerator and denominator and eliminate any common factors.

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What is the first step in adding or subtracting rational expressions?

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The first step is to find a common denominator.

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What does it mean to find the least common denominator (LCD)?

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The least common denominator (LCD) is the smallest expression that can be used as a common denominator for two or more rational expressions.

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How do you divide rational expressions?

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To divide rational expressions, multiply by the reciprocal of the divisor.

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What is the difference between a proper and improper rational expression?

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A proper rational expression has a degree of the numerator less than the degree of the denominator, while an improper rational expression has a degree of the numerator greater than or equal to the degree of the denominator.

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What is the process to find the difference of two rational expressions?

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To find the difference, ensure both expressions have a common denominator, then subtract the numerators.

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What is a common mistake when simplifying rational expressions?

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A common mistake is to cancel terms that are not common factors.