Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 12 - Section 12.6 - The Binomial Theorem - 12.6 Exercises - Page 886: 2

Answer

We can find the coefficients in the expansion of $(a+b)^{n}$ from the nth row of Pascal's triangle. So $(a+b)^{4}$ = $a^{4} + 4a^{3}b + 6a^{2}b^{2} + 4ab^{3} + b^{4}$

Work Step by Step

To find the coefficients of the expansion of a binomial look at the rows of Pascal's triangle. When n =4 look at the fourth row - the coefficients (from the fourth row of Pascal's Triangle) are 1 4 6 4 1 - plug these into the binomial expansion.
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