Question

simplify 4y^2 -1 over 2y^2+3y-2 ? what are the restrictions?

Answer 1

Factor the numerator and denominator and simplify.
Restrictions are when denominator =/= 0.

Answer 2

4y²-1 is difference of a squared
2y²+3y-2 can be factor normally

Answer 3

Factor the numerator which is the difference of two perfect squares.

Answer 4

(2y+1)(2y-1) / (2y-1)(y+2)
(2y+1) / (y+2) -> Simplified form
(2y-1)(y+2) =/= 0
2y-1 =/= 0 ; y =/= 1/2
y+2 =/= 0 ; y =/= -2
Restrictions:
y =/= -2,1/2