Answer
$\frac{x(2x-5y)}{2(x+4y)}$
Work Step by Step
We factor the expressions in both the numerator and denominator in order to cancel out common factors in the numerator and the denominator:
$\frac{6x^{3}-15x^{2}y}{6x^{2}+24xy}$
=$\frac{3x(2x^{2}-5xy)}{3x(2x+8y)}$
=$\frac{(2x^{2}-5xy)}{(2x+8y)}$
=$\frac{x(2x-5y)}{2(x+4y)}$
