Algebra: A Combined Approach (4th Edition)

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

Chapter 6 - Section 6.5 - Integrated Review - Choosing a Factoring Strategy - Page 451: 80

Answer

Sometimes yes: $9(x^2 + 9 y^2)$

Work Step by Step

In order to factorize this polynomial, we need to put the common factor in evidence. We have: $9 \cdot x^2 + 81 \cdot y^2$ We can write as $9 \cdot x^2 + 9 \cdot 9 \cdot y^2$ So, we put $9$ in evidence to get: $9 \cdot (x^2 + 9 \cdot y^2)=9(x^2+9y^2)$ Another example: $64x^6+1=(4x^2+1)(16x^4-4x^2+1)$
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