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: 11



Work Step by Step

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