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: 28

Answer

$y^{2}-\dfrac{3}{2}y+\dfrac{9}{16}$

Work Step by Step

$\Big(y-\dfrac{3}{4}\Big)^{2}$ Apply the formula for squaring a binomial, which is $(a-b)^{2}=a^{2}-2ab+b^{2}$ Here, $a=y$ and $b=\dfrac{3}{4}$ $\Big(y-\dfrac{3}{4}\Big)^{2}=y^{2}-2(y)\Big(\dfrac{3}{4}\Big)+\Big(\dfrac{3}{4}\Big)^{2}=y^{2}-\dfrac{3}{2}y+\dfrac{9}{16}$
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