Explanation Given: A complex fraction 2 x 2 − 1 x y − 1 y 2 1 x 2 − 3 x y + 2 y 2 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. Calculation: Simplifying a Complex Fraction: Step 1: LCD of Numerator 2 x 2 − 1 x y − 1 y 2 and Denominator 1 x 2 − 3 x y + 2 y 2 is ‘ x 2 y 2 Multiply the numerator 2 x 2 − 1 x y − 1 y 2 and the denominator 1 x 2 − 3 x y + 2 y 2 of the complex fraction by the LCD ‘ x 2 y 2 ’of the fractions. Step 2: Simplify x 2 y 2 ⋅ 1 x 2 = y 2 ; x 2 y 2 ⋅ 1 y 2 = x 2 ; x 2 y 2 ⋅ 1 x y = x y ; 2 x 2 − 1 x y − 1 y 2 1 x 2 − 3 x y + 2 y 2 = x 2 y 2 ⋅ 2 x 2 − x 2 y 2 ⋅ 1 x y − x 2 y 2 ⋅ 1 y 2 x 2 y 2 ⋅ 1 x 2 −

15th Edition

ISBN: 9780321978929

Author: Martin-Gay

Publisher: PEARSON

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Chapter 14.7, Problem 70ES

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Simplify the complex fraction 2x2 − 1xy − 1y21x2 − 3xy + 2y2

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Chapter 14.7, Problem 69ES

Chapter 14.7, Problem 71ES

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Simplify the complex fraction 2 x 2 − 1 x y − 1 y 2 1 x 2 − 3 x y + 2 y 2

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

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Simplify the complex fraction 2x2 − 1xy − 1y21x2 − 3xy + 2y2

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