Explanation Given information: x 2 + 6 x + 8 x 2 + x − 20 ⋅ x 2 + 2 x − 15 x 2 + 8 x + 16 Concept Used: 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. a b ⋅ c d = a ⋅ c b ⋅ d Calculation: To find the product x 2 + 6 x + 8 x 2 + x − 20 ⋅ x 2 + 2 x − 15 x 2 + 8 x + 16 , use the formula a b ⋅ c d = a ⋅ c b ⋅ d Thus, x 2 + 6 x + 8 x 2 + x − 20 ⋅ x 2 + 2 x − 15 x 2 + 8 x + 16 = ( x 2 + 6 x + 8 ) ( x 2 + 2 x − 15 ) ( x 2 + x − 20 ) ( x 2 + 8 x + 16 ) Now to simplify ( x 2 + 6 x + 8 ) ( x 2 + 2 x − 15 ) ( x 2 + x − 20 ) ( x 2 + 8 x + 16 ) , we have to find and cancel out the common factors from numerator and denominator, by simplifying the numerator and denominator separately, as ( x 2 + 6 x + 8 ) ( x 2 + 2 x − 15 ) ( x 2 + x − 20 ) ( x 2 + 8 x +</

17th Edition

ISBN: 9780134650111

Author: Martin-Gay

Publisher: PEARSON

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Chapter 14.2, Problem 15ES

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Find given product and simplify

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Chapter 14 Solutions

ALGEBRA FOUNDATIONS PREALG.>NASTA ED.<

Ch. 14.1 - Use the choices below to fill in each blank. Some...Ch. 14.1 - Prob. 2VRVC Ch. 14.1 - Prob. 3VRVC Ch. 14.1 - Prob. 4VRVC Ch. 14.1 - Prob. 5VRVC Ch. 14.1 - Prob. 6VRVC Ch. 14.1 - Prob. 7VRVC Ch. 14.1 - Prob. 8VRVC Ch. 14.1 - Prob. 1ES Ch. 14.1 - Prob. 2ES

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Find given product and simplify

Solution Summary: The author explains how to simplify a given expression by finding the common factor of the numerator and denominator.

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