Intermediate Algebra (6th Edition)

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

Chapter 11 - Section 11.5 - The Binomial Theorem - Exercise Set - Page 664: 2

Answer

$x^4+4x^3y+6x^2y^2+4xy^3+y^4$

Work Step by Step

The coefficients in the the $n= 4 $ row of Pascal's Triangle are $\{ 1,4,6,4,1 \}$. Using these as the coefficients of the terms that follow the pattern in expanding binomials, the expression $ (x+y)^4 $ expands to \begin{array}{l} x^4+4x^3y+6x^2y^2+4xy^3+y^4 .\end{array}
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