Algebra and Trigonometry 10th Edition

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

Chapter 11 - 11.5 - The Binomial Theorem - 11.5 Exercises - Page 813: 21

Answer

$(r+3s)^3=r^3+9r^2s+27rs^2+27s^3$

Work Step by Step

$(r+3s)^3=~_3C_0r^3+~_3C_1r^2(3s)^1+~_3C_2r^1(3s)^2+~_3C_0(3s)^3=r^3+3r^2(3s)+3r(9s^2)+27s^3=r^3+9r^2s+27rs^2+27s^3$
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