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 - Page 890: 29



Work Step by Step

We start with the given expression: $(x+4)(2x-1)$ To simplify an algebraic expression, we must eliminate any parentheses and combine like terms. We use the distributive property to multiply the binomials and remove the parentheses: $2x^2+4(2x)-1(x)-1(4)$ We multiply each term to simplify them: $2x^2+8x-x-4$ We combine the like terms by subtracting: $2x^2+7x-4$
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