Answer:
The simplified form of the compound fractional expression is [tex]\frac{x^2(y-1)}{y^2(x-1)}[/tex].
Step-by-step explanation:
Simplify the fraction as shown:
[tex]\dfrac{x-\frac{x}{y} }{y-\frac{y}{x} }[/tex]
Take the LCM.
[tex]\dfrac{\frac{xy-x}{y} }{\frac{xy-y}{x} }[/tex]
Simplify,
[tex]\frac{xy-x}{y} \times\frac{x}{xy-y}[/tex]
[tex]\frac{x^2(y-1)}{y^2(x-1)}[/tex]
Hence, the simplified form of the compound fractional expression is [tex]\frac{x^2(y-1)}{y^2(x-1)}[/tex].
