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 - Exercise Set - Page 387: 27

Answer

$y^{2}-\dfrac{4}{7}y+\dfrac{4}{49}$

Work Step by Step

$\Big(y-\dfrac{2}{7}\Big)^{2}$ Apply the formula for squaring a binomial, which is $(a-b)^{2}=a^{2}-2ab+b^{2}$. Here, $a=y$ and $b=\dfrac{2}{7}$ $\Big(y-\dfrac{2}{7}\Big)^{2}=y^{2}-2(y)\Big(\dfrac{2}{7}\Big)+\Big(\dfrac{2}{7}\Big)^{2}=y^{2}-\dfrac{4}{7}y+\dfrac{4}{49}$
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