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Home : Math & Science : Math Study Guides : Algebra II : Rational Expressions : Multiplying and Dividing Rational Expressions
Multiplying and Dividing Rational Expressions
Multiplying Rational Expressions
To multiply two rational expressions, factor them. Then multiply their
numerators and denominators, crossing out any factors that appear in
both the numerator and the denominator of the answer.
Example 1: × =?= ×![]() = ![]() = .
Example 2: × =?= ×![]() = ![]() = .
Dividing Rational Expressions
To divide by a rational expression, multiply by its
reciprocal.
Example 1: ÷ =?= ×3x2-2xx2-2x+4= ×x(3x-2)x2-2x+4= ![]() = .
Example 2: ÷ =?= ×![]() = ×![]() = ![]() = .
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