Question

Completely simplify the following expression:



(9y - 1)(6y2- y - 4)


54y3 - 15y2 -35y + 4


-3y2 - 35y + 4


54y3 - 35y + 4


54y3 +8y2 - 35y + 4

Answer 1

Expand and combine like terms:

(9y - 1)(6y^2 - y - 4)
= 9y(6y^2 - y - 4) - 1(6y^2 - y - 4)
= 54y^3 - 9y^2 - 36y - 6y^2 + y + 4
= 54y^3 - 15y^2 - 35y + 4.

So the simplified result is 54y^3 - 15y^2 - 35y + 4 (the first choice).