Question

3y^2-5y-2÷y^2-4

Answer 1

[AI-generated answer — Bot GPT 3.5]

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)