(4a^3b^2-14a^2b-18ab^2)/(2ab)
just divide each of the terms in the numerator by 2ab to get
2a^2b - 7a - 9b
To simplify the expression (4a^3b^2 - 14a^2b - 18ab^2)/(2ab), we can divide each term in the numerator by the denominator (2ab).
Let's simplify each term separately:
In the first term, 4a^3b^2 divided by 2ab, we can cancel out a, b, and 2:
(4a^3b^2)/(2ab) = 2a^2b
In the second term, -14a^2b divided by 2ab, we can cancel out a, b, and 2:
(-14a^2b)/(2ab) = -7ab
In the third term, -18ab^2 divided by 2ab, we can cancel out a, b, and 2:
(-18ab^2)/(2ab) = -9b
Now, we can combine the simplified terms:
2a^2b - 7ab - 9b