(6n + 3)(6n − 4)

Sure, let's solve the expression step by step.

Given: $(6n + 3)(6n - 4)$

Step 1: Apply the distributive property (also known as the FOIL method for binomials).

$(6n + 3)(6n - 4) = (6n \cdot 6n) + (6n \cdot -4) + (3 \cdot 6n) + (3 \cdot -4)$

Step 2: Perform the multiplications.

$(6n \cdot 6n) = 36n^2$ $(6n \cdot -4) = -24n$ $(3 \cdot 6n) = 18n$ $(3 \cdot -4) = -12$

Step 3: Combine all the terms.

$36n^2 - 24n + 18n - 12$

Step 4: Combine like terms.

$36n^2 - 6n - 12$

So, the simplified form of the expression $(6n + 3)(6n - 4)$ is:

$36n^2 - 6n - 12$