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

$$\frac{x\left(2x-y\right)}{y\left(2x+y\right)}$$
To multiply fractions, we multiply the numerators by each other to get the new numerator, and we multiply the denominators by each other to get the new denominator. Doing this and simplifying, we find: $$\frac{3x+2y}{y}\cdot \frac{2x^2-xy}{6x^2+7xy+2y^2}\\ \frac{x\left(2x-y\right)\left(3x+2y\right)}{y\left(2x+y\right)\left(3x+2y\right)}\\ \frac{x\left(2x-y\right)}{y\left(2x+y\right)}$$