Operations with Rational Expressions

Front

Define a rational expression.

Back

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

Front

What is the first step in simplifying a rational expression?

Back

The first step is to factor the numerator and the denominator, if possible.

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What does it mean to perform operations with rational expressions?

Back

It means to add, subtract, multiply, or divide rational expressions, following the rules of arithmetic and algebra.

Front

How do you add two rational expressions?

Back

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

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Back

Front

What is the rule for multiplying rational expressions?

Back

Multiply the numerators together and the denominators together, then simplify if possible.

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Back

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What is the rule for dividing rational expressions?

Back

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

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