Final answer:
The expression ([(-4)+6]²)/(-2) is simplified in three steps: add numbers inside parentheses, square the result, and divide by -2, resulting in the simplified expression -2.
Step-by-step explanation:
To simplify the expression ([(-4)+6]²)/(-2), we will follow several steps to reduce the expression to its simplest form.
- First, simplify the numbers inside the parentheses: (-4) + 6 = 2.
- Next, square the result from step 1: 2² = 4.
- Finally, divide the squared number by -2: 4 / (-2) = -2.
The simplified expression is therefore -2.