Explanation Given: A complex fraction 3 x − 4 − 2 4 − x 2 x − 4 − 2 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 Numerator and Denominator separately. Difference of square rule: a 2 − b 2 = ( a + b ) ( a − b ) Rule: ( b − a ) = − ( a − b ) Calculation: Simplifying a Complex Fraction: Rule: ( b − a ) = − ( a − b ) According to the rule we can write: 4 − x = − ( x − 4 ) Now rewrite the Complex fraction: 3 x − 4 − 2 4 − x 2 x − 4 − 2 x = 3 x − 4 + 2 x − 4 2 x − 4 − 2 x Step 1: LCD of Numerator 3 x − 4 + 2 x − 4 and Denominator 2 x − 4 − 2 x is ‘ x ( x − 4 ) Multiply the numerator 3 x − 4 + 2 x − 4 and the denominator 2 x − 4 − 2 x of the complex fraction by the LCD ‘ x ( x − 4 ) ’of the fractions in both the numerator and the denominator

15th Edition

ISBN: 9780321978929

Author: Martin-Gay

Publisher: PEARSON

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Simplify the complex fraction 3x−4 − 24−x2x−4 − 2x

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

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

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Simplify the complex fraction 3x−4 − 24−x2x−4 − 2x

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