Explanation Given: 4 2 x 2 + 5 x − 3 + 2 x + 3 Concept Used: To add/subtract rational expressions with unlike denominator 1. find LCD(least common divisor) of denominators 2. convert each rational expressions as an equivalent fraction whose denominators the LCD 3. Add/subtract the like rational expressions To simplify a given expression, we have to find the common factor of the numerator and denominator and then divide them by the common factor. Calculation: To solve 4 2 x 2 + 5 x − 3 + 2 x + 3 , first find the LCD (least common denominator) for each rational expressions, now as, 2 x 2 + 5 x − 3 = 2 x 2 + 6 x − x − 3 = ( 2 x − 1 ) ( x + 3 ) , hence, the LCD of denominator ( ( x + 3 ) and ( 2 x − 1 ) ( x + 3 ) ) is ( 2 x − 1 ) ( x + 3 ) , thus write each rational expression as an equivalent rational expression whose denominator is ( 2 x − 1 ) ( x + 3 ) , thus 4 2 x 2 + 5 x − 3 = 4 ( 2 x − 1 ) ( x + 3 ) ( denominator of this rational expression is already ( 2 x − 1 ) ( x + 3

15th Edition

ISBN: 9780321978929

Author: Martin-Gay

Publisher: PEARSON

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Chapter 14.4, Problem 68ES

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Solve 42x2+5x−3+2x+3 , and simplify the result if possible

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Chapter 14.4, Problem 67ES

Chapter 14.4, Problem 69ES

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Solve 4 2 x 2 + 5 x − 3 + 2 x + 3 , and simplify the result if possible

Solution Summary: The author explains how to add/subtract rational expressions with unlike denominators.

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Solve 42x2+5x−3+2x+3 , and simplify the result if possible

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Chapter 14 Solutions