College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 8, Sequences and Series - Section 8.6 - The Binomial Theorem - 8.6 Exercises: 46

Answer

$(x^{2}+y)^{4}$

Work Step by Step

We need to factor: $x^{8}+4x^{6}y+6x^{4}y^{2}+4x^{2}y^{3}+y^{4}$ We rewrite this as: $(x^2)^4+4(x^2)^3y^1+6(x^2)^2y^2+4(x^2)^1y^3+y^4$ We notice that this corresponds to an expanded binomial with a power of $4$ and terms $x^2$ and $y$: $(x^{2}+y)^{4}$
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