Sure, let's simplify the expression step by step:
Given expression:
[tex]\[
4(20 + 12) \div (4 - 3)
\][/tex]
1. Evaluate the value inside the parentheses:
[tex]\[
4 - 3 = 1
\][/tex]
2. Evaluate the addition inside the other set of parentheses:
[tex]\[
20 + 12 = 32
\][/tex]
3. Next, perform the multiplication:
[tex]\[
4 \times 32 = 128
\][/tex]
4. Finally, perform the division:
[tex]\[
128 \div 1 = 128
\][/tex]
Therefore, after simplifying the expression, the result is:
[tex]\[
128
\][/tex]
So, the correct answer is:
[tex]\[
128
\][/tex]
