Simplify expression: 3y^2-5y-2÷y^2-4

Answer 1

To simplify the expression, we can factorize both the numerator and the denominator.

The numerator, 3y^2 - 5y - 2, can be factored as (3y + 1)(y - 2).

The denominator, y^2 - 4, is the difference of squares and can be factored as (y + 2)(y - 2).

Now we can rewrite the expression as follows:
(3y + 1)(y - 2) / (y + 2)(y - 2)

Since the (y - 2) term exists in both the numerator and the denominator, it cancels out.

The simplified expression is:
(3y + 1) / (y + 2)