Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 6 - Section 6.5 - A General Factoring Strategy - Exercise Set - Page 463: 121



Work Step by Step

$ y^{7}+y\qquad$...factor out the common term, $y$. $=y(y^{6}+1)\qquad$...recognize a sum of two cubes:$\mathrm{A}^{3}+\mathrm{B}^{3} = (\mathrm{A}+\mathrm{B})(\mathrm{A}^{2} - \mathrm{A}\mathrm{B} + B^{2})$ $=y((y^{2})^{3}+1^{3})$ $=y(y^{2}+1)(y^{4}-y^{2}+1)$
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