Expand the Expression Using the Binomial Theorem $$( 5 x + 3 ) ^ { 3 }$$

question 223

Multiple Choice

Expand the expression using the Binomial Theorem.
- $$( 5 x + 3 ) ^ { 3 }$$

• A) \(25 x ^ { 2 } + 30 x + 9\)
• B) \(25 x ^ { 6 } + 15 x ^ { 3 } + 729\)
• C) \(125 x ^ { 3 } + 225 x ^ { 2 } + 135 x + 27\)
• D) \(125 x ^ { 3 } + 225 x ^ { 2 } + 225 x + 27\)

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Definitions:

Economic Profit

The difference between total revenue and total costs, including both explicit and implicit costs, representing the surplus generated beyond the firm’s opportunity costs.

ATC

Average Total Cost; it's the total cost per unit of output, calculated by dividing the total cost by the quantity of output produced.

Variable Cost

Expenses that change in proportion to the production volume.

Economic Profit

The difference between total revenue and total costs, including both explicit and implicit costs, reflecting the true profitability of a business.