Explanation Given: 5 4 n 2 − 12 n + 8 − 3 3 n 2 − 6 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 5 4 n 2 − 12 n + 8 − 3 3 n 2 − 6 n , first find the LCD (least common denominator) for each rational expressions, now as, 4 n 2 − 12 n + 8 = 4 ( n − 2 ) ( n − 1 ) and 3 n 2 − 6 n = 3 n ( n − 2 ) , hence, the LCD of denominator is 12 n ( n − 2 ) ( n − 1 ) , thus write each rational expression as an equivalent rational expression whose denominator is 12 n ( n − 2 ) ( n − 1 ) , thus 5 4 n 2 − 12 n + 8 : 5 4 ( n − 2 ) ( n − 1 ) ⋅ 3 n 3 n = 15 n 12 n ( n − 2 ) ( n − 1 ) and 3 3 n 2 − 6 n : 3 3 n ( n − 2 ) ⋅ 4 ( n − 1 ) 4 ( n − 1 ) = 12 ( n − 1 ) 12 n ( n − 2 ) ( n − 1 ) Now, subtracting the like rational expressions, thus 5 4 n 2 − 12 n

15th Edition

ISBN: 9780321978929

Author: Martin-Gay

Publisher: PEARSON

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Chapter 14.4, Problem 59ES

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Solve 54n2−12n+8−33n2−6n , and simplify the result if possible

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Chapter 14.4, Problem 58ES

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Solve 5 4 n 2 − 12 n + 8 − 3 3 n 2 − 6 n , and simplify the result if possible

Solution Summary: The author explains how to solve 54n2-12n+8, and simplify the result if possible. To simplify a given expression, we have to find the common factor of

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Solve 54n2−12n+8−33n2−6n , and simplify the result if possible

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