Question

simplify the following expression.

\\(2x - 3)(x + 5)\\

\\?x^2 + \quadx + \quad\\

Explanation:

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<reasoning>

Apply the distributive property

Using the Distributive Property knowledge point
\[
(2x - 3)(x + 5) = 2x(x + 5) - 3(x + 5)
\]

Expand the terms

Using the Algebraic Simplification knowledge point
\[
2x(x + 5) - 3(x + 5) = 2x^2 + 10x - 3x - 15
\]

Combine like terms

Using the Combining Like Terms knowledge point
\[
2x^2 + (10x - 3x) - 15 = 2x^2 + 7x - 15
\]
</reasoning>

<answer>
Simplify the following expression.

\[(2x - 3)(x + 5)\]

<blank>\(2\)</blank>\(x^2 +\) <blank>\(7\)</blank>\(x +\) <blank>\(-15\)</blank>
</answer>

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"Mathematics",
"Algebra",
"Multiplying Binomials"
]
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</post_analysis>

Answer:

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<reasoning>

Apply the distributive property

Using the Distributive Property knowledge point
\[
(2x - 3)(x + 5) = 2x(x + 5) - 3(x + 5)
\]

Expand the terms

Using the Algebraic Simplification knowledge point
\[
2x(x + 5) - 3(x + 5) = 2x^2 + 10x - 3x - 15
\]

Combine like terms

Using the Combining Like Terms knowledge point
\[
2x^2 + (10x - 3x) - 15 = 2x^2 + 7x - 15
\]
</reasoning>

<answer>
Simplify the following expression.

\[(2x - 3)(x + 5)\]

<blank>\(2\)</blank>\(x^2 +\) <blank>\(7\)</blank>\(x +\) <blank>\(-15\)</blank>
</answer>

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"Mathematics",
"Algebra",
"Multiplying Binomials"
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