Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 11 - 11.5 - The Binomial Theorem - 11.5 Exercises - Page 813: 46


$12926067394240 x^9 y^6$

Work Step by Step

According to the Binomial Theorem we can obtain the $r+1$th term of the expansion of the binomial $(x+y)^n$ by the formula $_nC_rx^{n-r}y^r$. Hence here it is: (by plugging in $n=15,r=6$ and $7x,2y$): $_{15}C_6(7x)^{15-6}(2y)^6=5005\cdot40353607x^9\cdot64y^6=12926067394240 x^9 y^6$
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