Adding & Subtracting 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 add rational expressions with different denominators?

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

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What is the first step in subtracting rational expressions?

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The first step in subtracting rational expressions is to find a common denominator.

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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 simplify a rational expression?

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

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What does it mean to combine like terms in rational expressions?

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Combining like terms means to add or subtract terms that have the same variable raised to the same power.

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What is a polynomial?

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A polynomial is an expression made up of variables, coefficients, and non-negative integer exponents.