Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 8 - Polynomials and Factoring - 8-7 Factoring Special Cases - Practice and Problem-Solving Exercises - Page 528: 55

Answer

$ (x^{10}-2y^{5})^{2}$

Work Step by Step

$x^{20}-4x^{10}y^{5}+4y^{10}=$ ...recognize a square of a binomial. ...($a=x^{10},\ b=2y^{5},\ \quad $test the middle term: $2ab=2(x^{10})(2y^{5})=4x^{10}y^{5}$) $=(x^{10}-2y^{5})^{2}$
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