Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 8 - Polynomials and Factoring - 8-3 Multiplying Binomials - Lesson Check - Page 501: 2



Work Step by Step

In order to multiply binomials, we use the distributive property. However, recall that in order to use the distributive property with binomials, we must multiply both things in the first set of parenthesis by both things in the second set of parenthesis. Thus, we distribute the 2x to the (x+3) and then distribute the -5 to the (x+3). We add these terms together and then combine like terms to obtain the answer: $2x^2+x−15$
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