Study Guide Rational Expressions

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What is a rational expression?

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

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How do you add rational expressions with different denominators?

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To add rational expressions with different denominators, find a common denominator, rewrite each expression, and then combine the numerators.

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What is the formula for the difference of squares?

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How do you multiply rational expressions?

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

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What is the process for simplifying 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 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 solve for x in a rational equation?

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To solve for x in a rational equation, find a common denominator, eliminate the denominators, and solve the resulting equation.

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