Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Skills Handbook - Evaluating and Simplifying Expressions - Exercises: 32

Answer

$-x^2-8x-16$

Work Step by Step

We start with the given expression: $-(x+4)^2$ To simplify an algebraic expression, we must eliminate any parentheses and combine like terms. We expand the squared binomial: $-(x+4)(x+4)$ We apply the distributive property to multiply the binomials and remove the parentheses: $-(x^2+4x+4x+16)$ We combine like terms by adding: $-(x^2+8x+16)$ We apply the distributive property and multiply $-1$ by each term inside of the parentheses: $-x^2-8x-16$
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