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: 37



Work Step by Step

Calculate the first three terms of $(y^3-1)^{17}$ by using Binomial Theorem or Binomial expansion. This implies $(y^3-1)^{20}=\displaystyle \binom{20}{0}(y^3)^{20}(-1)^0+\displaystyle \binom{20}{1}(y^3)^{19}(-1)^1+\displaystyle \binom{20}{2}(y^3)^{18}(-1)^2$ or, $=(1)y^{60}(1)-20y^{57}+190y^{54}(1)$ or, $=y^{60}-20y^{57}+190y^{54}$
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