Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 2 - Real Numbers - 2.4 - Exponents - Problem Set 2.4: 98

Answer

$= \frac{49}{4}$

Work Step by Step

We plug in $x = - \frac{3}{2}$ and $y=-2$ to obtain: $= x^{2} +2xy+y^{2}$ $= (-\frac{3}{2})^{2} +2(-\frac{3}{2})(-2)+(-2)^{2}$ $= (\frac{9}{4}) -(\frac{6}{2})(-2)+4$ $= (\frac{9}{4}) - 3(-2)+4$ $= (\frac{9}{4}) + 6 + 4$ $= (\frac{9}{4}) + 10\\\\=\frac{9+40}{4}$ $= \frac{49}{4}$
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