Certainly! Let's evaluate the expression step-by-step:
The expression we need to evaluate is:
[tex]\[ 4 \cdot (8 - 4)^2 \][/tex]
1. Step 1: Solve the expression inside the parenthesis
[tex]\[ 8 - 4 = 4 \][/tex]
2. Step 2: Square the result from Step 1
[tex]\[ 4^2 = 16 \][/tex]
3. Step 3: Multiply the squared result by 4
[tex]\[ 4 \cdot 16 = 64 \][/tex]
Hence, the value of the expression \( 4 \cdot (8 - 4)^2 \) is:
[tex]\[ 64 \][/tex]