Write the Binomial Expansion of the Expression $$\left( 4 x ^ { 2 } - 1 \right) ^ { 3 }$$

question 243

Multiple Choice

Write the binomial expansion of the expression.
- $$\left( 4 x ^ { 2 } - 1 \right) ^ { 3 }$$

• A) \(64 x ^ { 6 } - 48 x ^ { 4 } + 12 x ^ { 2 } - 1\)
• B) \(\left( 16 x ^ { 4 } - 8 x ^ { 2 } + 1 \right) ^ { 3 }\)
• C) \(256 x ^ { 8 } + 64 x ^ { 6 } - 48 x ^ { 4 } + 12 x ^ { 2 } - 1\)
• D) \(64 x ^ { 3 } - 48 x ^ { 2 } + 12 x - 1\)

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Definitions:

Profit-Maximizing

A strategy or process used by firms to determine the output level and pricing that yields the highest possible profit.

Negative Externality

An adverse effect on a third party not directly involved in an economic transaction, often leading to market failure if not properly addressed.

Marginal Social Cost

The additional cost to society as a whole of producing one more unit of a good or service, including both private and external costs.

Marginal Damage Cost

The additional cost associated with producing one more unit of a good or service, considering the negative externalities.