To simplify the expression 5a(a^2 - 4a) - 8a(a^2 - 6a), we will first distribute the coefficients:
5a a^2 = 5a^35a -4a = -20a^28a a^2 = 8a^38a -6a = -48a^2
Now we can combine the like terms:
5a^3 - 20a^2 - 8a^3 + 48a^2= -3a^3 + 28a^2
Therefore, the simplified expression is -3a^3 + 28a^2.
To simplify the expression 5a(a^2 - 4a) - 8a(a^2 - 6a), we will first distribute the coefficients:
5a a^2 = 5a^3
5a -4a = -20a^2
8a a^2 = 8a^3
8a -6a = -48a^2
Now we can combine the like terms:
5a^3 - 20a^2 - 8a^3 + 48a^2
= -3a^3 + 28a^2
Therefore, the simplified expression is -3a^3 + 28a^2.