Answer :

Let's simplify the given expression step-by-step.

The expression is:
[tex]\[ 3 \cdot 4 - 8 \div 2 \][/tex]

1. First, perform the multiplication:
[tex]\[ 3 \cdot 4 = 12 \][/tex]

2. Next, perform the division:
[tex]\[ 8 \div 2 = 4 \][/tex]

3. Subtract the result of the division from the result of the multiplication:
[tex]\[ 12 - 4 = 8 \][/tex]

So, the simplified value of the expression [tex]\(3 \cdot 4 - 8 \div 2\)[/tex] is:

[tex]\[ \boxed{8} \][/tex]