Answer
$x^{4}-4x^{3}+6x^{2}-4x+1$
Work Step by Step
$(x^{2}-2x+1)^{2}=(x^{2}-2x+1)(x^{2}-2x+1)$
$=x^{2}(x^{2}-2x+1)-2x(x^{2}-2x+1)+1(x^{2}-2x+1)$
$=x^{4}-2x^{3}+x^{2}-2x^{3}+4x^{2}-2x+x^{2}-2x+1$
$=x^{4}-4x^{3}+6x^{2}-4x+1$
Finite Math and Applied Calculus (6th Edition)
by Waner, Stefan; Costenoble, Steven
Published by
Brooks Cole
ISBN 10:
1133607705
ISBN 13:
978-1-13360-770-0
Chapter 0 - Section 0.3 - Multiplying and Factoring Algebraic Expressions - Exercises - Page 21: 19
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