Algebra 2 Companion Book, Volume 2

8.1.2 Multiplying and Dividing Rational Expressions

Key Objectives • Simplify rational expressions. • Multiply and divide rational expressions. • Solve simple rational equations. Key Terms • A rational expression is a quotient of two polynomials. The denominator cannot equal 0. Example 1 Simplifying Rational Expressions Because rational expressions are ratios of polynomials, they can be simplified in the same way that fractions are simplified. Recall that to write a fraction in simplest form, divide out the common factors in the numerator and denominator.

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