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 is to find a common denominator for both expressions.

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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 factoring and canceling common factors in the numerator and denominator.

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How do you find the quotient of two rational expressions?

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To find the quotient, multiply the first expression by the reciprocal of the second expression.

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What is an extraneous solution?

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An extraneous solution is a solution that emerges from the process of solving an equation but does not satisfy the original equation.

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What is the process for solving rational equations?

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To solve rational equations, find a common denominator, eliminate the denominators, and solve the resulting polynomial equation.

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What is the importance of checking for extraneous solutions?

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Checking for extraneous solutions is important because some solutions may not be valid in the context of the original equation.

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What is the formula for the difference of squares?

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