Simplify 2ab - ab2 - 7ab + a2b + 5ab2. Evaluate 9^(1/2) + 1. Solve the equation x2 − 2x = 0. Using set notation, describe the shaded region in the diagram below.

$$-5ab + 4ab^2 + a^2b$$

The simplified expression is $\boxed{-5ab + 4ab^2 + a^2b}$.

2. Evaluate $9^{\frac{1}{2}} + 1$.

Recall that $x^{\frac{1}{2}} = \sqrt{x}$.

$$9^{\frac{1}{2}} = \sqrt{9} = 3$$

$$3 + 1 = 4$$

The evaluated value is $\boxed{4}$.

3. Solve the equation $x^2 - 2x = 0$.

$$x - 2 = 0 \implies x = 2$$

The solutions are $\boxed{x = 0 \quad \text{or} \quad x = 2}$.

4. Using set notation, describe the shaded region in the diagram below.

The shaded region includes all elements that are in set A or in set B (or both). This is known as the union of sets A and B.
The shaded region is described by $\boxed{A \cup B}$.