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 388: 70

Answer

$\dfrac{a^{2}}{4}-16y^{2}$

Work Step by Step

$\Big(\dfrac{a}{2}+4y\Big)\Big(\dfrac{a}{2}-4y\Big)$ To evaluate this product, use the following formula: $(m+n)(m-n)=m^{2}-n^{2}$ Here, $m=\dfrac{a}{2}$ and $n=4y$ $\Big(\dfrac{a}{2}+4y\Big)\Big(\dfrac{a}{2}-4y\Big)=\Big(\dfrac{a}{2}\Big)^{2}-(4y)^{2}=\dfrac{a^{2}}{4}-16y^{2}$
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