Question

Completely simplify the expression
(9y-1)(6y^2-y-4)

Answer 1

Multiply each term in the first factor by each in the second:

(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 form is 54y^3 - 15y^2 - 35y + 4.