To simplify this expression, first simplify the numerator:
4x^2 + 20x + 24 = 4(x^2 + 5x + 6) = 4(x + 2)(x + 3)
Now, substitute this back into the original expression:
4(x + 2)(x + 3) / 3(x + 2)
Since x > -2 we can cancel out the common factors:
4(x + 3) / 3
So, the simplified expression when x > -2 is:
To simplify this expression, first simplify the numerator:
4x^2 + 20x + 24 = 4(x^2 + 5x + 6) = 4(x + 2)(x + 3)
Now, substitute this back into the original expression:
4(x + 2)(x + 3) / 3(x + 2)
Since x > -2 we can cancel out the common factors:
4(x + 3) / 3
So, the simplified expression when x > -2 is:
4(x + 3) / 3