Explanation Given information: The provided rational expression is x − 3 y 2 ( y − x ) + x + y 2 ( x − y ) − 2 x − 2 y 2 ( x − y ) . Formula used: Steps to solve combined additions and subtractions rational expression: Step 1: Find the least common multiple (LCM) of the denominators that is least common denominator (L.C.D). Step 2: If the factors are opposite then multiplied by − 1 − 1 . Step 3: Now find the equivalent expression with the L.C.D by multiplying 1 to made the factors which are missing from the original denominator. Step 4: Add and subtract the numerators, remove common factors and simplify. Calculation: Consider the rational expression, x − 3 y 2 ( y − x ) + x + y 2 ( x − y ) − 2 x − 2 y 2 ( x − y ) . In the provided expression one denominator is opposite to the other two, to make the denominators same multiplied by − 1 − 1 in the first expression, the expression becomes: x − 3 y 2 ( y − x ) + x + y 2 ( x − y ) − 2 x − 2 y 2 ( x − y ) = x − 3 y 2 ( y − x ) ⋅ − 1 − 1 + x + y 2 ( x − y ) − 2 x − 2 y 2 ( x − y ) = − 1 ( x − 3 y ) 2 ( x − y ) + x + y 2 ( x − y ) − 2 x − 2 y 2 ( x − y

9th Edition

ISBN: 9780321997173

Author: Marvin L. Bittinger, Judith A. Beecher

Publisher: PEARSON

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Chapter 12.5, Problem 44ES

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To calculate: The simplified form of the rational expression x−3y2(y−x)+x+y2(x−y)−2x−2y2(x−y).

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Chapter 12.5, Problem 43ES

Chapter 12.5, Problem 45ES

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Chapter 12 Solutions

Developmental Mathematics (9th Edition)

Ch. 12.1 - Objective 11.3a: Factor trinomials of the type...Ch. 12.1 - Prob. 2SR Ch. 12.1 - Prob. 1DE Ch. 12.1 - Prob. 2DE Ch. 12.1 - Prob. 3DE Ch. 12.1 - Prob. 4DE Ch. 12.1 - Prob. 5DE Ch. 12.1 - Prob. 6DE Ch. 12.1 - Prob. 7DE Ch. 12.1 - Prob. 8DE

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The simplified form of the rational expression x − 3 y 2 ( y − x ) + x + y 2 ( x − y ) − 2 x − 2 y 2 ( x − y ) .

Solution Summary: The author explains the simplified form of the rational expression x-3y2(y-x).

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To calculate: The simplified form of the rational expression x−3y2(y−x)+x+y2(x−y)−2x−2y2(x−y).

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Chapter 12 Solutions