To simplify the expression 4a + 7/(a^2 - 4) - 3a + 5/(a^2 - 4), we can combine like terms and then simplify further if possible.
First, combine the like terms:
4a - 3a = a7/(a^2 - 4) + 5/(a^2 - 4) = 12/(a^2 - 4)
Now, substitute back into the expression:
a + 12/(a^2 - 4)
Since a^2 - 4 can be factored as (a + 2)(a - 2), we can simplify further:
a + 12/((a + 2)(a - 2))
Therefore, the simplified expression is a + 12/((a + 2)(a - 2)).
To simplify the expression 4a + 7/(a^2 - 4) - 3a + 5/(a^2 - 4), we can combine like terms and then simplify further if possible.
First, combine the like terms:
4a - 3a = a
7/(a^2 - 4) + 5/(a^2 - 4) = 12/(a^2 - 4)
Now, substitute back into the expression:
a + 12/(a^2 - 4)
Since a^2 - 4 can be factored as (a + 2)(a - 2), we can simplify further:
a + 12/((a + 2)(a - 2))
Therefore, the simplified expression is a + 12/((a + 2)(a - 2)).