Evaluate.−4+[6−(−2+4)2]

Sure, let's break it down step by step:

1. First, solve the expression inside the innermost parentheses: −2 + 4 = 2
2. Substitute this back into the equation: −4 + [6 - (2)²]
3. Next, square the 2: 2² = 4
4. Substitute this back into the equation: −4 + [6 - 4]
5. Then, subtract 4 from 6: 6 - 4 = 2
6. Substitute this back into the equation: −4 + 2
7. Finally, add −4 and 2 together: −4 + 2 = -2

So, the result of the expression −4+[6−(−2+4)²] is -2.