Answer
$a=210$
Work Step by Step
According to the Binomial Theorem, the 7th, that is, the ($6+1$)th term of $(x^2+y)^{10}$ is:
$_{10}C_6(x^2)^{10-6}(y)^6=\frac{10!}{(10-6)!\times6!}x^8y^6=210x^8y^6$
$ax^8y^6=210x^8y^6$
$a=210$
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: 53
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