College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 8 - Sequences, Induction, and Probability - Exercise Set 8.5 - Page 758: 31

Answer

See below

Work Step by Step

The binomial expression can always be rewritten as the following. $(A+B)^n = \sum _{k=0}^n C(n,r)* A^{n-r} * B^{r}$ Since we are finding the first 3 terms, we simply plug in the set $[0,1,2]$ $T_1 =C(8,0)*x^8 =x^8 $ $T_2 = C(8,1)*x^7*2=16x^7$ $T_3 =C(8,2)*x^6*2^2= 112x^6$
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