Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 10 - Section 10.5 - The Binomial Theorum - Exercise Set - Page 1092: 38



Work Step by Step

Calculate the first three terms of $(y^3-1)^{21}$ by using Binomial Theorem or Binomial expansion. This implies $(y^3-1)^{21}=\displaystyle \binom{21}{0}(y^3)^{21}(-1)^0+\displaystyle \binom{21}{1}(y^3)^{20}(-1)^1+\displaystyle \binom{21}{2}(y^3)^{19}(-1)^2$ or, $=(1)y^{63}(1)-21y^{60}+210y^{57}(1)$ or, $=y^{63}-21y^{60}+210y^{57}$
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