\[4 - (3 - 2)^2\]

To solve this expression, we follow the order of operations, often remembered by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Here's the expression again:

\[ 4 - (3 - 2)^2 \]

Following the order:

1. Solve inside the parentheses (3 - 2):
\[ 3 - 2 = 1 \]

2. Apply exponentiation:
\[ 1^2 = 1 \]

3. Subtract the result from step 2 from 4:
\[ 4 - 1 = 3 \]

The result of the expression \[4 - (3 - 2)^2\] is 3.