Simplifying, Multiplying, Dividing Rational Expressions

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Define 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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What is the first step in simplifying a rational expression?

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Factor both the numerator and the denominator completely.

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What does it mean to multiply rational expressions?

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

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What is the process for dividing rational expressions?

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To divide rational expressions, multiply by the reciprocal of the second expression.

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Factor: n^2 + 5n - 6

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(n - 1)(n + 6).

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What is the importance of finding common factors in rational expressions?

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Finding common factors allows for simplification of the expression.

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