Explanation Given information: The provided rational expression 5 x x 2 − 9 − 4 3 − x . Formula used: Steps to subtract the rational expression with different denominators: 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: Subtract the numerators, remove common factors and simplify. Calculation: Consider the rational expression, 5 x x 2 − 9 − 4 3 − x In the provided expression as the denominators are not equal. Now first find the least common multiple of the denominator. Here the factors are opposite so multiplied by − 1 − 1 in the second expression: 5 x x 2 − 9 − 4 3 − x = 5 x x 2 − 9 − 4 3 − x ⋅ − 1 − 1 = 5 x x 2 − 9 + 4 x − 3 Use the formula for difference of two squares as: x 2 − 9 = ( x + 3 ) ( x − 3 ) Find the least common multiple of the denominators. The least common denominator of ( x 2 − 9 ) and ( x − 3 ) is ( x + 3 ) ( x − 3 ) . Multiply the second expression by 1 that is ( x + 3 ) ( x + 3 ) to make the denominator of both the expressions ( x + 3 ) ( x − 3 )

9th Edition

ISBN: 9780321997173

Author: Marvin L. Bittinger, Judith A. Beecher

Publisher: PEARSON

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Chapter 12.5, Problem 35ES

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To calculate: The simplified form of the rational expression 5xx2−9−43−x.

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Chapter 12.5, Problem 34ES

Chapter 12.5, Problem 36ES

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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 5 x x 2 − 9 − 4 3 − x .

Solution Summary: The author explains how to simplify the rational expression with different denominators.

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To calculate: The simplified form of the rational expression 5xx2−9−43−x.

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Chapter 12 Solutions