Explanation Given: 10 3 n − 4 − 5 4 − 3 n 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 10 3 n − 4 − 5 4 − 3 n , first find the LCD (least common denominator) for each rational expressions, now as the LCD of denominator ( ( 3 n − 4 ) and ( 4 − 3 n ) = − ( 3 n − 4 ) ) is ( 3 n − 4 ) , thus write each rational expression as an equivalent rational expression whose denominator is ( 3 n − 4 ) , thus 5 4 − 3 n ⋅ − 1 − 1 = − 5 3 n − 4 ,

15th Edition

ISBN: 9780321978929

Author: Martin-Gay

Publisher: PEARSON

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Chapter 14.4, Problem 40ES

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Solve 103n−4−54−3n , and simplify the result if possible

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Solve 10 3 n − 4 − 5 4 − 3 n , and simplify the result if possible

Solution Summary: The author explains how to add/subtract rational expressions with unlike denominators. To simplify a given expression, we have to find the common factor of the numerator.

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Solve 103n−4−54−3n , and simplify the result if possible

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