Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 5 - Section 5.6 - Special Products - Practice: 8

Answer

$x^{4}-6x^{2}y+9y^{2}$

Work Step by Step

Step 1: $(x^{2}-3y)^{2}$ Step 2: Using the special product, $(x^{2}-3y)^{2}=(x)^{2}-2(x^{2})(3y)+(3y)^{2}$ Step 3: $(x^{2})^{2}-2(x^{2})(3y)+(3y)^{2}=x^{4}-6x^{2}y+9y^{2}$ Step 4: Therefore, the required answer is $x^{4}-6x^{2}y+9y^{2}$
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