1. The problem is to evaluate the expression $[(32 + 8) \cdot (32 - 8)]$. 2. This expression uses the difference of squares formula: $ (a + b)(a - b) = a^2 - b^2 $. 3. Here, $a = 32$ and $b = 8$. 4. Applying the formula: $$ (32 + 8)(32 - 8) = 32^2 - 8^2 $$ 5. Calculate each square: $$ 32^2 = 1024 $$ $$ 8^2 = 64 $$ 6. Substitute back: $$ 1024 - 64 = 960 $$ 7. Therefore, the value of the expression is $960$.