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: 15


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

Work Step by Step

$(y -\frac{1}{y})(y +\frac{1}{y})$ 1. Square the first term. $(y)^{2} = y^{2}$ 2. Multiply the last terms inside each bracket together. $(-\frac{1}{y})(\frac{1}{y}) = \frac{-1}{y^{2}}$ 3. Add your answers from steps 1-2 to get $y^{2} -\frac{1}{y^{2}}$.
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