\(\dfrac{2}{x^2-y^2}\sqrt{\dfrac{9\left(x^2+2xy+y^2\right)}{4}}\)
= \(\sqrt{\dfrac{4}{\left(x^2-y^2\right)^2}.\dfrac{9\left(x+y\right)^2}{4}}\)
= \(\sqrt{\dfrac{1}{\left(x-y\right)^2.\left(x+y\right)^2}.9\left(x+y\right)^2}\)
= \(\sqrt{\dfrac{9}{\left(x-y\right)^2}}\)



