Question

evaluate.

\\((2 - 2^2)^2 + 4 \cdot 3\\)

Explanation:

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"blank_filling_formatter",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [
"Order of Operations"
],
"new_concepts": [],
"current_concepts": [
"Order of Operations",
"Exponent Rules"
]
}
</pre_analysis>

<reasoning>

Evaluate the exponent inside the parentheses

\[
2^2 = 4
\]

Simplify the expression inside the parentheses and square it

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

Perform multiplication and addition

\[
4 + 4 \cdot 3 = 4 + 12 = 16
\]
</reasoning>

<answer>
Evaluate.
\[ (2 - 2^2)^2 + 4 \cdot 3 = \] <blank>16</blank>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Algebra",
"Order of Operations"
]
}
</post_analysis>

Answer:

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"blank_filling_formatter",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [
"Order of Operations"
],
"new_concepts": [],
"current_concepts": [
"Order of Operations",
"Exponent Rules"
]
}
</pre_analysis>

<reasoning>

Evaluate the exponent inside the parentheses

\[
2^2 = 4
\]

Simplify the expression inside the parentheses and square it

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

Perform multiplication and addition

\[
4 + 4 \cdot 3 = 4 + 12 = 16
\]
</reasoning>

<answer>
Evaluate.
\[ (2 - 2^2)^2 + 4 \cdot 3 = \] <blank>16</blank>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Algebra",
"Order of Operations"
]
}
</post_analysis>