Factor Completely $$\mathrm { p } ^ { 3 } \mathrm { q } ^ { 3 } + 27$$

question 201

Multiple Choice

Factor completely.
- $$\mathrm { p } ^ { 3 } \mathrm { q } ^ { 3 } + 27$$

• A) \(( p q - 3 ) \left( p ^ { 2 } q ^ { 2 } + 3 p q + 9 \right)\)
• B) \(( p q - 3 ) \left( p ^ { 2 } q ^ { 2 } + 3 p q - 9 \right)\)
• C) \(( \mathrm { pq } + 3 ) \left( \mathrm { p } ^ { 2 } \mathrm { q } ^ { 2 } - 3 \mathrm { pq } + 9 \right)\)
• D) \(( \mathrm { pq } + 3 ) \left( \mathrm { p } ^ { 2 } \mathrm { q } ^ { 2 } + 3 \mathrm { pq } + 9 \right)\)

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Definitions:

Economic Profit

The total revenue of a firm minus its explicit and implicit costs, representing the surplus income over and above what is needed to keep its resources in their next best alternative use.

Maximum Earning

The highest amount of revenue that a business can generate from its operations, often limited by market size or production capacity.

Competitive Price-Searcher

A market condition where firms actively seek to set prices competitively, often through the differentiation of products or services, to gain advantage over rivals.

Market Equilibrium

A condition or state where the quantity demanded of a good or service at a certain price equals the quantity supplied, leading to a stable market condition.