Answer
$x^4-3x^2+1$
Work Step by Step
Shaded area = Larger square - smaller square
Larger square
$= (x^2-1) \times (x^2-1)$
$= x^4-2x^2+1$
Smaller square
$= x \times x$
$=x^2$
$(x^4-2x^2+1)-(x^2)$
$=x^4-3x^2+1$
Algebra: A Combined Approach (4th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321726391
ISBN 13:
978-0-32172-639-1
Chapter 5 - Section 5.6 - Special Products - Exercise Set - Page 389: 95
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