Answer:
Step-by-step explanation:
[tex]\frac{2a}{a + 1} - \frac{2a}{a - 1} + \frac{a + 3}{a^{2} - 1}[/tex]
[tex]\frac{2a}{a + 1} - \frac{2a}{a - 1} + \frac{a + 3}{(a - 1)(a + 1)}[/tex]
[tex]\frac{2a^{2} - 2a - 2a^{2} - 2a + a + 3 }{(a +1)(a - 1)}[/tex]
[tex]\frac{3 - 3a}{(a + 1)(a - 1)}[/tex]
[tex]\frac{-3(a - 1)}{(a - 1)(a + 1)}[/tex]
[tex]\frac{-3}{a + 1}[/tex]