Operations with Rational Expressions

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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 both the numerator and the denominator and then cancel 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 is the formula for multiplying two rational expressions?

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What is the formula for dividing two rational expressions?

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

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To find the LCD, factor each denominator and take the highest power of each factor that appears.

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What is the significance of excluding values in rational expressions?

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Excluding values is important because they make the denominator zero, which is undefined in mathematics.

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