Question

Divide the rational expressions and express in simplest form. When typing your answer for the numerator and denominator be sure to type the term with the variable first.\frac{\left(\frac{x}{y}-\frac{y}{x}\right)}{\left(\frac{x}{y}+\frac{y}{x}\right)}The numerator is AnswerThe denominator is Answer

Answer 1

Given:

`((x)/(y)-(y)/(x))/((x)/(y)+(y)/(x))`
`((x)/(y)-(y)/(x))/((x)/(y)+(y)/(x))=((x^2-y^2)/(xy))/((x^2+y^2)/(xy))`
`((x)/(y)-(y)/(x))/((x)/(y)+(y)/(x))=(x^2-y^2)/(x^2+y^2)`

Numerator:

`x^2-y^2`

Denominator:

`x^2+y^2`