Answer
$a=45$
Work Step by Step
According to the Binomial Theorem, the 9th, that is, the ($8+1$)th term of $(z^2-y)^{10}$ is:
$_{10}C_8(z^2)^{10-8}(-t)^8=\frac{10!}{(10-8)!\times8!}z^4t^8=45z^4t^8$
$az^4t^8=45z^4t^8$
$a=45$
Algebra and Trigonometry 10th Edition
by Larson, Ron
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: 54
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