Question

simplify the following expression.

\\((10d + 6)(10d - 6)\\)

\\(?d^2 - \quad\\)

Explanation:

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<reasoning>

Identify the algebraic structure

Using the Multiplying Binomials knowledge point
\[
(10d + 6)(10d - 6)
\]

Apply the difference of squares formula

Using the Multiplying Binomials knowledge point
\[
(a+b)(a-b) = a^2 - b^2
\]
\[
(10d)^2 - 6^2
\]

Simplify the squared terms

Using the Multiplying Binomials knowledge point
\[
(10d)^2 = 100d^2
\]
\[
6^2 = 36
\]
\[
100d^2 - 36
\]
</reasoning>

<answer>
Simplify the following expression.

\[(10d + 6)(10d - 6)\]

<blank>100</blank>\(d^2 -\) <blank>36</blank>
</answer>

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"Mathematics",
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Answer:

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<reasoning>

Identify the algebraic structure

Using the Multiplying Binomials knowledge point
\[
(10d + 6)(10d - 6)
\]

Apply the difference of squares formula

Using the Multiplying Binomials knowledge point
\[
(a+b)(a-b) = a^2 - b^2
\]
\[
(10d)^2 - 6^2
\]

Simplify the squared terms

Using the Multiplying Binomials knowledge point
\[
(10d)^2 = 100d^2
\]
\[
6^2 = 36
\]
\[
100d^2 - 36
\]
</reasoning>

<answer>
Simplify the following expression.

\[(10d + 6)(10d - 6)\]

<blank>100</blank>\(d^2 -\) <blank>36</blank>
</answer>

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