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: 66

Answer

$\dfrac{x+\dfrac{y}{x}}{y+\dfrac{x}{y}}=\dfrac{y(x^{2}+y)}{x(y^{2}+x)}$

Work Step by Step

$\dfrac{x+\dfrac{y}{x}}{y+\dfrac{x}{y}}$ Evaluate the sums: $\dfrac{x+\dfrac{y}{x}}{y+\dfrac{x}{y}}=\dfrac{\dfrac{x^{2}+y}{x}}{\dfrac{y^{2}+x}{y}}=...$ Evaluate the division and simplify: $...=\dfrac{y(x^{2}+y)}{x(y^{2}+x)}$
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