Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 11 - Review Exercises - Page 871: 60

Answer

$x^{16}+24x^{14}+252x^{12}$

Work Step by Step

Need to find the first three terms. Apply Binomial Theorem. $(a+b)^n=\sum_{r=0}^n\dbinom{n}{r}(a)^{n-r}b^r$ $(x^2+3)^8=\dbinom{8}{0}(x^2)^8(3)^0+\dbinom{8}{1}(x^2)^7(3)^1+\dbinom{8}{2}(x^2)^6(3)^2$ or, $=x^{16}+(8)(x^{14}(3)+252x^{12}$ or, $=x^{16}+24x^{14}+252x^{12}$
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