College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 8 - Sequences, Induction, and Probability - Exercise Set 8.5 - Page 757: 18

Answer

$x^8+4x^6y+6x^4y^2+4x^2y^3+y^4$

Work Step by Step

Use the binomial theorem formula (detailed on page 754) to solve the problem. Be careful in writing each term correctly. $(x^2+y)^4$ $1*(x^2)^4+4*(x^2)^3*(y)+6*(x^2)^2*(y)^2+4*(x^2)*(y)^3+(y)^4$ $x^8+4x^6y+6x^4y^2+4x^2y^3+y^4$
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