Answer
$\dfrac{2x+5}{x-6}\cdot\dfrac{2x}{-x+6}=-\dfrac{2x(2x+5)}{(x-6)^{2}}$
Work Step by Step
$\dfrac{2x+5}{x-6}\cdot\dfrac{2x}{-x+6}$
Change the sign of both the numerator and the denominator of the second fraction:
$\dfrac{2x+5}{x-6}\cdot\dfrac{2x}{-x+6}=\dfrac{2x+5}{x-6}\cdot\dfrac{-2x}{x-6}=...$
Evaluate the product and simplify if possible:
$...=-\dfrac{2x(2x+5)}{(x-6)^{2}}$