Question

calculator not allowed

expand \\(5(2 - 3h)\\)

Explanation:

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [
"Distributive Property",
"Algebraic Expansion"
],
"new_concepts": [],
"current_concepts": [
"Distributive Property",
"Algebraic Expansion"
]
}
</pre_analysis>

<reasoning>

Identify the given expression

\[
5(2 - 3h)
\]

Apply the distributive property

\[
5 \times 2 - 5 \times 3h
\]

Simplify the terms

\[
10 - 15h
\]
</reasoning>

<answer>
\(10 - 15h\)
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Free Response",
"knowledge_point": [
"Mathematics",
"Algebra",
"Distributive Property"
]
}
</post_analysis>

Answer:

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [
"Distributive Property",
"Algebraic Expansion"
],
"new_concepts": [],
"current_concepts": [
"Distributive Property",
"Algebraic Expansion"
]
}
</pre_analysis>

<reasoning>

Identify the given expression

\[
5(2 - 3h)
\]

Apply the distributive property

\[
5 \times 2 - 5 \times 3h
\]

Simplify the terms

\[
10 - 15h
\]
</reasoning>

<answer>
\(10 - 15h\)
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Free Response",
"knowledge_point": [
"Mathematics",
"Algebra",
"Distributive Property"
]
}
</post_analysis>