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 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 first step in simplifying a rational expression?

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

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What does it mean to simplify a rational expression?

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Simplifying a rational expression means reducing it to its lowest terms by canceling common factors.

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What is the formula for dividing rational expressions?

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To divide rational expressions, multiply by the reciprocal of the divisor.

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

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The LCD is found by determining the least common multiple of the denominators.

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What is the significance of restrictions in rational expressions?

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Restrictions are values that make the denominator zero and must be excluded from the domain.

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How do you solve an equation involving rational expressions?

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Clear the fractions by multiplying both sides by the least common denominator, then solve the resulting equation.

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