## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$$-\frac{x^3y^3}{x^2+xy+y^2}$$
In order to simplify complex fractions, we first simplify the numerator and the denominator. Next, we multiply the numerator and the denominator by the reciprocal of the denominator and simplify. Doing this, we find: $$\frac{x-y}{\frac{y^3-x^3}{x^3y^3}} \\ \frac{\left(x-y\right)x^3y^3}{\left(y-x\right)\left(y^2+xy+x^2\right)} \\ -\frac{x^3y^3}{x^2+xy+y^2}$$