Operations on Rational Expressions

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Define a rational expression.

Back

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

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What is the first step in simplifying a rational expression?

Back

The first step is to factor both the numerator and the denominator completely.

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What does it mean to multiply rational expressions?

Back

To multiply rational expressions, multiply the numerators together and the denominators together, then simplify.

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What is the process for dividing rational expressions?

Back

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

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What is a common mistake when simplifying rational expressions?

Back

A common mistake is to cancel terms that are not factors of the numerator or denominator.

Front

What is the importance of finding the least common denominator (LCD)?

Back

The LCD is important for adding or subtracting rational expressions.

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