Chapter 11 - Rational Expressions and Functions - 11-2 Multiplying and Dividing Rational Expressions - Practice and Problem-Solving Exercises - Page 674: 26

$\frac{(2y+9)(y-2)}{4}$

$\frac{2y+9}{4y+12}\times(y^2+y-6)$ $=\frac{2y+9}{4(y+3)}\times(y^2+3y-2y-6)$ $=\frac{2y+9}{4(y+3)}\times[y(y+3)-2(y+3)$ $=\frac{2y+9}{4(y+3)}\times(y-2)(y+3)$ $=\frac{(2y+9)(y-2)(y+3)}{4(y+3)}$ $=\frac{(2y+9)(y-2)}{4}$