Chapter P, Prerequisites - Section P.7 - Rational Expressions - P.7 Exercises - Page 51: 32

$\frac{2x+y}{x-2y}$

We factor all terms and reduce: $\displaystyle \frac{x^{2}+2xy+y^{2}}{x^{2}-y^{2}}*\frac{2x^{2}-xy-y^{2}}{x^{2}-xy-2y^{2}}=\frac{(x+y)(x+y)}{(x-y)(x+y)}*\frac{(x-y)(2x+y)}{(x-2y)(x+y)}=\frac{2x+y}{x-2y}$