Question

simplified form 4y^2-1 divided by 2y^2-3y-2
I think the answer is 2y-1divided by y-2 what would be the restriction?

Answer 1

(4y^(2)-1)/((2y^(2)-3y-2)
(4y^(2)-1) = (2y-1)(2y+1)

(2y^(2)-3y-2)
=
(y - 2)(2y + 1)

(2y-1)(2y+1)/(y - 2)(2y + 1)
=
(2y-1)/(y-2)
looks about right but you should try division



Thus the simplified answer is

3/(y-2) + 2