Expand and simplify the expression $(2a + 3)(3a - 4)$.

1. Problem Description

Expand and simplify the expression $(2a + 3)(3a - 4)$.

2. Solution Steps

We need to expand the expression $(2a + 3)(3a - 4)$ using the distributive property (also known as the FOIL method).

$(2a + 3)(3a - 4) = (2a)(3a) + (2a)(-4) + (3)(3a) + (3)(-4)$

$= 6a^2 - 8a + 9a - 12$

Now, combine like terms:

$-8a + 9a = a$

So the expression becomes:

$6a^2 + a - 12$

3. Final Answer

$6a^2 + a - 12$