Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 0 - Section 0.3 - Multiplying and Factoring Algebraic Expressions - Exercises - Page 21: 12


$y^{2} + \frac{1}{y^{2}} -2$

Work Step by Step

$(y -\frac{1}{y})^{2}$ 1. Square the first term. $(y)^{2} = y^{2}$ 2. Multiply the first term and second term together. Then multiply this answer by 2. So $(y)(\frac{-1}{y})(2) = -2$ 3. Square the last term. $(\frac{-1}{y})^{2} = \frac{1}{y^{2}}$ 4. Add your answers from steps 1-3 to get $y^{2} + \frac{1}{y^{2}} -2$.
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