4а^3-8а^2-3а-6/а^2-4

To simplify the expression (4a^3 - 8a^2 - 3a - 6) / (a^2 - 4), we can factor both the numerator and the denominator.

Factor the numerator: 4a^3 - 8a^2 - 3a - 6 = 4a(a^2 - 2a) - 3(a + 2) = 4a(a(a - 2) - 3(a + 2) = 4a(a^2 - 2a - 3a - 6) = 4a(a^2 - 5a - 6) = 4a(a - 6)(a + 1)

Factor the denominator: a^2 - 4 = (a - 2)(a + 2)

Now we can rewrite the expression as: (4a(a - 6)(a + 1)) / ((a - 2)(a + 2))

This is the simplified form of the expression (4a^3 - 8a^2 - 3a - 6) / (a^2 - 4).