Sure, let's solve the expression step-by-step. The given mathematical expression is [tex]\(\left(12 \times 4 + 6^2\right) + 8\)[/tex].
### Step 1: Calculate [tex]\(12 \times 4\)[/tex]
First, we need to multiply 12 by 4:
[tex]\[ 12 \times 4 = 48 \][/tex]
### Step 2: Calculate [tex]\(6^2\)[/tex]
Next, we need to calculate the square of 6:
[tex]\[ 6^2 = 6 \times 6 = 36 \][/tex]
### Step 3: Add the results of the two computations
Now we add the result of [tex]\(12 \times 4\)[/tex] and [tex]\(6^2\)[/tex]:
[tex]\[ 48 + 36 = 84 \][/tex]
### Step 4: Add the final 8
Finally, we add 8 to the result from Step 3:
[tex]\[ 84 + 8 = 92 \][/tex]
So the final result of the expression [tex]\(\left(12 \times 4 + 6^2\right) + 8\)[/tex] is [tex]\(92\)[/tex].