Simplify 2a(4b²) + 3b(-2ab) / 2ab² and -3a³ x (2b³ - 6b³) - (-3ab)³ / -3a²b. Calculate -6 + sqrt(4x(4-9)) - (-5), -3² x sqrt(9+16) + -2 - 6, and sqrt(16) - sqrt(144).

$$2a(4b^2) = 8ab^2$$ $$3b(-2ab) = -6ab^2$$

$$1$$

The final answer is $\boxed{\mathbf{1}}$.

2.1.2 Simplify: $\frac{-3a^3 \times (2b^3 - 6b^3) - (-3ab)^3}{-3a^2b}$

$$-13a^{3-2}b^{3-1}$$ $$-13ab^2$$

The final answer is $\boxed{\mathbf{-13ab^2}}$.

2.2.1 Calculate: $-6 + \sqrt{4 \times (4-9)} - (-5)$

$$-6 + \sqrt{4 \times (-5)} - (-5)$$ $$-6 + \sqrt{-20} - (-5)$$

$$-1 + 2\sqrt{5}i$$

The final answer is $\boxed{\mathbf{-1 + 2\sqrt{5}i}}$.

2.2.2 Calculate: $-3^2 \times \sqrt{9+16} + \frac{-3 \times 2^3}{-2-6}$

$$-42$$

The final answer is $\boxed{\mathbf{-42}}$.

2.2.3 Calculate: $\sqrt{16} - \sqrt{144}$

$$4 - 12$$ $$-8$$

The final answer is $\boxed{\mathbf{-8}}$.