Question

factor the following binomial.

\\49x^2 - 144\\

\\((?x + \quad)(\quadx - \quad)\\)

Explanation:

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<reasoning>

Identify the binomial structure

Using the Difference of Squares knowledge point
\[
49x^2 - 144 = (7x)^2 - (12)^2
\]

Apply the factoring formula

Using the Difference of Squares knowledge point
\[
a^2 - b^2 = (a + b)(a - b)
\]
\[
(7x)^2 - (12)^2 = (7x + 12)(7x - 12)
\]

Determine the missing values

Using the Difference of Squares knowledge point
\[
([7]x + [12])([7]x - [12])
\]
</reasoning>

<answer>
Factor the following binomial.

\(49x^2 - 144\)

(<blank>7</blank>\(x +\) <blank>12</blank>)(<blank>7</blank>\(x -\) <blank>12</blank>)
</answer>

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"Mathematics",
"Algebra",
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Answer:

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</pre_analysis>

<reasoning>

Identify the binomial structure

Using the Difference of Squares knowledge point
\[
49x^2 - 144 = (7x)^2 - (12)^2
\]

Apply the factoring formula

Using the Difference of Squares knowledge point
\[
a^2 - b^2 = (a + b)(a - b)
\]
\[
(7x)^2 - (12)^2 = (7x + 12)(7x - 12)
\]

Determine the missing values

Using the Difference of Squares knowledge point
\[
([7]x + [12])([7]x - [12])
\]
</reasoning>

<answer>
Factor the following binomial.

\(49x^2 - 144\)

(<blank>7</blank>\(x +\) <blank>12</blank>)(<blank>7</blank>\(x -\) <blank>12</blank>)
</answer>

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