To perform the division, you need to first factor the numerator and the denominator.
Factor the numerator: 3y² - 5y - 2 = (3y + 1)(y - 2)
Factor the denominator: y² - 4 = (y + 2)(y - 2)
Now, rewrite the expression: (3y + 1)(y - 2) ÷ (y + 2)(y - 2)
Next, we can cancel out the common factor of (y - 2) in both the numerator and the denominator.
Thus, the simplified expression is: (3y + 1) ÷ (y + 2)
3y^2-5y-2÷y^2-4
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