Explanation Given: 2 x 2 + 4 x + 4 + 1 x + 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 2 x 2 + 4 x + 4 + 1 x + 2 , first find the LCD (least common denominator) for each rational expressions, now as, x 2 + 4 x + 4 = ( x + 2 ) 2 , hence, the LCD of denominator ( ( x + 2 ) and ( x + 2 ) 2 ) is ( x + 2 ) 2 , thus write each rational expression as an equivalent rational expression whose denominator is ( x + 2 ) 2 , thus 2 x 2 + 4 x + 4 = 2 ( x + 2 ) 2 ( denominator of this rational expression is already ( x + 2 ) 2

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ISBN: 9780321978929

Author: Martin-Gay

Publisher: PEARSON

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Chapter 14.4, Problem 52ES

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Solve 2x2+4x+4+1x+2 , and simplify the result if possible

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Chapter 14.4, Problem 51ES

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Solve 2 x 2 + 4 x + 4 + 1 x + 2 , 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 2x2+4x+4+1x+2 , and simplify the result if possible

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Chapter 14 Solutions