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: 61

Answer

$x^{9}-27x^{8}+324x^{7}$

Work Step by Step

Need to find the first three terms. Apply Binomial Theorem. $(a+b)^n=\sum_{r=0}^n\dbinom{n}{r}(a)^{n-r}b^r$ $(x-3)^9=\dbinom{9}{0}(x)^9(-3)^0+\dbinom{9}{1}(x)^8(-3)^1+\dbinom{9}{2}(x)^7(-3)^2$ or, $=x^{9}+(9)(x^{8}(-3)+324x^{7}$ or, $=x^{9}-27x^{8}+324x^{7}$
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