College Algebra 7th Edition

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

Chapter P, Prerequisites - Chapter P Review - Exercises: 58

Answer

$(x-1)^{2}(x+1)^{2}$

Work Step by Step

We treat $x^4$ as $(x^2)^2$ and use the fact that $(a-b)(a+b)=a^2-b^2$: $x^{4}-2x^{2}+1=(x^{2}-1)^{2}=[(x-1)(x+1)]^{2}=(x-1)^{2}(x+1)^{2}$
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