\[\frac{2x^{\backslash x + a}}{x - a} - \frac{2a^{\backslash x - a}}{x + a} =\]
\[= \ \frac{2x^{2} + 2ax - 2ax + 2a^{2}}{(x - a)(x + a)} = \frac{2x^{2} + 2a^{2}}{x^{2} - a^{2}}\]