Explanation Given: A complex fraction 2 x + 3 x 2 4 x 2 − 9 x Concept Used: A rational Expression whose numerator, denominator, or both contains one or more rational expressions is called a complex rational expression or a complex fraction. Simplifying a Complex Fraction: Step 1: Multiply the numerator and the denominator of the complex fraction by the LCD of the fractions in both the numerator and the denominator. Step 2: Simplify Calculation: Simplifying a Complex Fraction: Step 1: Multiply the numerator and the denominator of the complex fraction by the LCD of the fractions in both the numerator and the denominator. LCD of the numerator and the denominator of the complex fraction is ‘ x 2 ’. x 2 ( 2 x ) = 2 ⋅ x 2 ⋅ 1 x = 2 x ; x 2 ( 3 x 2 ) = 3 ⋅ x 2 ⋅ 1 x 2 = 3 ; ; x 2 ( 4 x 2 ) = = 4 ⋅ x 2 ⋅ 1 x 2 = 4 ; x 2 ( 9 x ) = 9 ⋅ x 2 ⋅ 1 x = 9 x Step 2: Simplify 2 x + 3 x 2 4 x 2

15th Edition

ISBN: 9780321978929

Author: Martin-Gay

Publisher: PEARSON

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Chapter 14.7, Problem 13ES

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Simplify the complex fraction 2x + 3x2 4x2 − 9x

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Chapter 14.7, Problem 12ES

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Simplify the complex fraction 2 x + 3 x 2 4 x 2 − 9 x

Solution Summary: The author explains how to simplify a complex tion by multiplying the numerator and denominator by the LCD.

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Simplify the complex fraction 2x + 3x2 4x2 − 9x

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