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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EBK ALGEBRA FOUNDATIONS

Ch. 14.1 - Use the choices below to fill in each blank. Some...Ch. 14.1 - Prob. 2VRVC Ch. 14.1 - Prob. 3VRVC Ch. 14.1 - Prob. 4VRVC Ch. 14.1 - Prob. 5VRVC Ch. 14.1 - Prob. 6VRVC Ch. 14.1 - Prob. 7VRVC Ch. 14.1 - Prob. 8VRVC Ch. 14.1 - Prob. 1ES Ch. 14.1 - Prob. 2ES

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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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