Explanation Given: 7 ( x + 1 ) ( x − 1 ) + 8 ( x + 1 ) 2 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 7 ( x + 1 ) ( x − 1 ) + 8 ( x + 1 ) 2 , first find the LCD (least common denominator) for each rational expressions, now as the LCD of denominator ( ( x + 1 ) ( x − 1 ) and ( x + 1 ) 2 ) is ( x + 1 ) 2 ( x − 1 ) , thus write each rational expression as an equivalent rational expression whose denominator is ( x + 1 ) 2 ( x − 1 ) , thus 7 ( x + 1 ) ( x − 1 ) ⋅ x + 1 x + 1 = 7 ( x + 1 ) ( x + 1 ) 2 ( x − 1 ) , 8 ( x + 1 ) 2 ⋅ x − 1 x − 1 = 8 ( x − 1 ) ( x + 1 ) 2 ( x − 1 )

15th Edition

ISBN: 9780321978929

Author: Martin-Gay

Publisher: PEARSON

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Chapter 14.4, Problem 41ES

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Solve 7(x+1)(x−1)+8( x+1)2 , and simplify the result if possible

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Chapter 14.4, Problem 40ES

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Solve 7 ( x + 1 ) ( x − 1 ) + 8 ( x + 1 ) 2 , and simplify the result if possible

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

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Solve 7(x+1)(x−1)+8( x+1)2 , and simplify the result if possible

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