Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.4 - Rational Expressions - 1.4 Exercises: 50

Answer

$\frac{x^{2}+x+1}{x^{3}}$

Work Step by Step

$\frac{1}{x}+\frac{1}{x^{2}}+\frac{1}{x^{3}}$ Find the lowest common denominator (i.e. $x^{3}$) and adjust the fractions accordingly: $=\frac{1\times x^{2}}{x\times x^{2}}+\frac{1\times x}{x^{2}\times x}+\frac{1}{x^{3}}$ $=\frac{x^{2}}{x^{3}}+\frac{x}{x^{3}}+\frac{1}{x^{3}}$ Combine the fractions: $=\frac{x^{2}+x+1}{x^{3}}$
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