How do you simplify this expression?

-12 / 3 x (-8+(-4)^2 - 6) +2

I got -8+2. Is this right?

yeah, but why stop there?

-8+2 = -6

my teacher just asked me for the simplified expression

thanks

To simplify the given expression, follow the order of operations (also known as PEMDAS/BODMAS). Here are the steps:

Step 1: Simplify any operations within parentheses
-12 / 3 x (-8+(-4)^2 - 6) + 2

In the parentheses, simplify the exponent first:
-12 / 3 x (-8 + 16 - 6) + 2

Then evaluate the addition/subtraction within the parentheses:
-12 / 3 x (2) + 2

Step 2: Solve any multiplication/division from left to right
Evaluate the multiplication:
-12 / 3 x 2 + 2

Perform the division:
-4 x 2 + 2

Step 3: Solve any remaining addition/subtraction from left to right
Evaluate the multiplication:
-8 + 2

Finally, perform the addition:
-6

So, the simplified expression is -6. The answer you got, -8+2, is incorrect.