Rational Expressions

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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?

Back

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

Front

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.

Front

What does it mean to multiply rational expressions?

Back

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?

Back

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

Back

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

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Front

What is the process of adding rational expressions?

Back

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

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What is the significance of excluding values in rational expressions?

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Excluding values prevents division by zero, which is undefined.