## Precalculus: Mathematics for Calculus, 7th Edition

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