Question

subtract.

\\((9a + 2) - (6a + 2)\\)

Explanation:

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"Polynomial Subtraction",
"Combining Like Terms"
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</pre_analysis>

<reasoning>

Distribute the negative sign

\[
(9a + 2) - (6a + 2) = 9a + 2 - 6a - 2
\]

Group and combine like terms

\[
(9a - 6a) + (2 - 2) = 3a + 0 = 3a
\]
</reasoning>

<answer>
Subtract.
\[ (9a + 2) - (6a + 2) \]
<blank>\(3a\)</blank>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Algebra",
"Polynomial Subtraction"
]
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</post_analysis>

Answer:

<pre_analysis>
{
"quality": "clear",
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"skills_matched": [
"step_cot",
"blank_filling_formatter",
"explain_then_answer",
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}
</pre_analysis>

<reasoning>

Distribute the negative sign

\[
(9a + 2) - (6a + 2) = 9a + 2 - 6a - 2
\]

Group and combine like terms

\[
(9a - 6a) + (2 - 2) = 3a + 0 = 3a
\]
</reasoning>

<answer>
Subtract.
\[ (9a + 2) - (6a + 2) \]
<blank>\(3a\)</blank>
</answer>

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