Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Prerequisites - Review Exercises - Page 63: 80

Answer

(x + 5)(x + 3) = x(x + 3) + 5(x + 3). This is the distributive property.

Work Step by Step

The first way to find the area is to multiply the entire length with the entire width: (x + 5)(x + 3) The second way is to add the small thing rectangle (width x) with the thick rectangle (width 5): x(x + 3) + 5(x + 3) (x + 5)(x + 3) = x(x + 3) + 5(x + 3). This is the distributive property.
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