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Published byΦίλομενης ÁἸσαάκ Γερμανού Modified over 6 years ago
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Simplify Complex Rational Expressions
A Complex Rational Expression is a rational expression that contains one or more rational expressions in its numerator, or its denominator, or both. The following is a complex rational expression: Rational Expression in the numerator Rational Expression in the denominator
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To simplify a complex rational expression:
1) Find the LCD of all rational expressions in the numerator and denominator of the complex rational expression. 2) Multiply both numerator and denominator of the complex rational expression by the LCD. 3) Simplify the resulting rational expression.
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Example 1 Simplify: Determine the LCD
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Multiply both numerator and denominator by the LCD
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Simplify:
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Example 2 Simplify: Determine the LCD
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Multiply both numerator and denominator by the LCD
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