Sure, let's solve the expression step-by-step: [tex]\( (8 + 2 \times 6)^2 \)[/tex].
1. First, resolve the expression inside the parentheses:
- According to the order of operations (PEMDAS/BODMAS), you need to solve the multiplication inside the parentheses first.
- [tex]\( 2 \times 6 = 12 \)[/tex].
2. Add the result to 8:
- Now, substitute back into the expression: [tex]\( 8 + 12 = 20 \)[/tex].
3. Square the result:
- Finally, take the square of the result: [tex]\( 20^2 = 400 \)[/tex].
So, the value of [tex]\( (8 + 2 \times 6)^2 = 400 \)[/tex].
