simplify

(a³-2a²)-(3a²-4a³)

a³ - 2a² - 3a² + 4a³

Combine like terms on either side of the subtraction sign:
a³ - 2a² - 3a² + 4a³
Combine the first two terms:
-2a² - 3a² = -5a²
Combine the last two terms:
a³ + 4a³ = 5a³
Substitute the simplified terms back into the original expression:
-5a² + 5a³