Algebra and Trigonometry 10th Edition

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

Prerequisites - Review Exercises - Page 63: 77

Answer

$2500r^2+5000r+2500$ Notice that the powers of $r$ are in descending order.

Work Step by Step

Use the special product: square of a binomial (see page 28): $2500(1+r)^2=2500[1^2+2(1)(r)+r^2]=2500(1+2r+r^2)=2500(1)+2500(2r)+2500(r^2)=2500r^2+5000r+2500$
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