Simplifying 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 divide rational expressions?

Back

Dividing rational expressions involves multiplying by the reciprocal of the divisor.

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What is the product of two rational expressions?

Back

The product is found by multiplying the numerators together and the denominators together.

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What is the least common denominator (LCD)?

Back

The least common denominator is the smallest expression that can be used as a common denominator for two or more fractions.

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How do you add rational expressions with the same denominator?

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You add the numerators and keep the same denominator.