The problem is to simplify the following expression: $(3a^2b - 5ab^2 + 8a^2b^2) / (-ab) + (3x^4y^3 - 5x^3y^2 + 12x^2y) / (-xy^2)$

1. Problem Description

The problem is to simplify the following expression:

$(3a^2b - 5ab^2 + 8a^2b^2) / (-ab) + (3x^4y^3 - 5x^3y^2 + 12x^2y) / (-xy^2)$

2. Solution Steps

First, divide the expression $(3a^2b - 5ab^2 + 8a^2b^2)$ by $(-ab)$:

$\frac{3a^2b - 5ab^2 + 8a^2b^2}{-ab} = \frac{3a^2b}{-ab} - \frac{5ab^2}{-ab} + \frac{8a^2b^2}{-ab} = -3a + 5b - 8ab$

Second, divide the expression $(3x^4y^3 - 5x^3y^2 + 12x^2y)$ by $(-xy^2)$:

$\frac{3x^4y^3 - 5x^3y^2 + 12x^2y}{-xy^2} = \frac{3x^4y^3}{-xy^2} - \frac{5x^3y^2}{-xy^2} + \frac{12x^2y}{-xy^2} = -3x^3y + 5x^2 - \frac{12x}{y}$

So the simplified expression is:

$-3a + 5b - 8ab -3x^3y + 5x^2 - \frac{12x}{y}$

3. Final Answer

$-3a + 5b - 8ab - 3x^3y + 5x^2 - \frac{12x}{y}$