Question 620673
(2a^2 + 3a - 1)(a^2 - 4a)

Multiply using the FOIL Method:

2a^2 x a^2 = 2a^4

2a^2 x -4a = -8a^3

3a x a^2 = 3a^3

3a x -4a = -12a^2

-1 x a^2 = -1a^2

-1 x -4a = 4a

2a^4 - 8a^3 + 3a^3 - 12a^2 - 1a^2 + 4a

Combine like terms:

-8a^3 + 3a^3 = -5a^3

-12a^2 - 1a^2 = -13a^2

The Answer:

2a^4 - 5a^3 - 13a^2 + 4a