Which of the following expressions is equivalent to $\dfrac{1}{x-a}-\dfrac{1}{x+a}$ ?

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$$\frac{1}{x-a}-\frac{1}{x+a}$$ $$=\frac{x+a}{(x-a)(x+a)} - \frac{x-a}{(x+a)(x-a)}$$ $$= \frac{x+a -(x-a)}{(x-a)(x+a)}$$ $$=\boxed{\frac{2a}{x^2-a^2}}$$