simplify:

a^2+4a/a^2+3a-4

To simplify the expression (a^2 + 4a)/(a^2 + 3a - 4), you can follow these steps:

Step 1: Factorize the numerator and the denominator.
a^2 + 4a can be factored as a(a + 4).
a^2 + 3a - 4 can be factored as (a + 4)(a - 1).

Step 2: Rewrite the expression with the factored form.
The expression becomes (a(a + 4))/((a + 4)(a - 1)).

Step 3: Cancel out common factors.
The factor (a + 4) appears in both the numerator and the denominator. Therefore, it can be canceled out.

The final simplified form of the expression is a/(a - 1).