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: 52



Work Step by Step

According to the Binomial Theorem, the 3rd, that is, the ($2+1$)th term of $(3x+4y)^8$ is: $_8C_2(3x)^{8-2}(4y)^2=\frac{8!}{(8-2)!\times2!}(3x)^6(16)y^2=(28)(729)x^6(16)y^2=326592x^6y^2$ $ax^6y^2=326592x^6y^2$ $a=326592$
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