Simplifying, Multiplying, & Dividing Rational Exp Modified 2025

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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 simplify 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 first step in dividing rational expressions?

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The first step is to multiply by the reciprocal of the divisor.

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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 if possible.

Front

What is the formula for factoring a difference of squares?

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What is the significance of finding a common denominator when adding or subtracting rational expressions?

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Finding a common denominator allows you to combine the fractions into a single expression.