Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 8 - Rational Functions - 8-1 Inverse Variation - Practice and Problem-Solving Exercises - Page 505: 45



Work Step by Step

Recall: $(a-b)^2=a^2-2ab+b^2$ Use the formula above to obtain: \begin{align*} (8-5i^2)^2&=8^2-2(8)5i)+(5i)^2\\ &=64-80i+25i^2\\ \end{align*} With $i^2=-1$< then the equation above becomes: \begin{align*} (8-5i)^2&=64-80i+25(-1)\\ &=64-80i-25\\ &=39-80i \end{align*}
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