(a^3-2a^2)-(3a^2-4a^3)

To simplify the expression, we first distribute the negative sign in front of the second parentheses:

(a^3 - 2a^2) - (3a^2 - 4a^3)
= a^3 - 2a^2 - 3a^2 + 4a^3
= a^3 - 5a^2 + 4a^3
= 5a^3 - 5a^2

Therefore, the simplified expression is 5a^3 - 5a^2.