Answer
$(1+x^{3})^{3}=1+3x^{3}+3x^{6}+x^{9}$
Work Step by Step
We use the values from the 3rd row of Pascal's Triangle to find the coefficients:
$(1+x^{3})^{3}=1^{3}+3* 1^{2}*(x^{3})^1+3* 1(x^{3})^{2}+(x^{3})^{3}=1+3x^{3}+3x^{6}+x^{9}$
College Algebra 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305115546
ISBN 13:
978-1-30511-554-5
Chapter 8, Sequences and Series - Section 8.6 - The Binomial Theorem - 8.6 Exercises - Page 636: 14
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