Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 11 - Review - Page 669: 75

Answer

$35a^4b^3$

Work Step by Step

$(a+b)^n = a^n + n/1!* a^{n-1}*b^1 + n(n-1)/2!* a^{n-2}*b^2 + n(n-1)(n-2)/3!* a^{n-3}*b^3 + . . . + b^n$ $a=a$ $b=b$ $n=7$ $(a+b)^n = a^n + 7/1!* a^{7-1}*b^1 + 7(7-1)/2!* a^{7-2}*b^2 + 7(7-1)(7-2)/3!* a^{7-3}*b^3 + . . . + b^n$ $7(7-1)(7-2)/3!* a^{7-3}*b^3$ is the 4th term $7(7-1)(7-2)/3!* a^{7-3}*b^3$ $7(7-1)(7-2)/6*a^4b^3$ $7*6*5/6*a^4b^3$ $35a^4b^3$
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