Operations with Rational Expressions Flashcard

Front

What is a rational expression?

Back

A rational expression is a fraction where the numerator and the denominator are both polynomials.

Front

How do you add rational expressions with different denominators?

Back

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

Front

What is the formula for finding a common denominator for two fractions?

Back

The common denominator is the least common multiple (LCM) of the denominators.

Front

What is the first step in subtracting rational expressions?

Back

The first step is to find a common denominator for the expressions being subtracted.

Front

How do you simplify a rational expression?

Back

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

Front

What does it mean to 'cancel' in rational expressions?

Back

'Canceling' means removing common factors from the numerator and denominator.

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Front

What is the process for multiplying rational expressions?

Back

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

Front

What is the difference between adding and multiplying rational expressions?

Back

Adding requires a common denominator, while multiplying does not.

Front

What is the formula for subtracting rational expressions?

Back