Use a Special Product Pattern to Find the Product $[ 9 u + ( v + 10 ) ] ^ { 2 }$

question 77

Multiple Choice

Use a special product pattern to find the product $[ 9 u + ( v + 10 ) ] ^ { 2 }$ .

• A) \(81 u ^ { 2 } + v ^ { 2 } + 18 u v + 180 u + 20 v + 100\)
• B) \(81 u ^ { 2 } + v ^ { 2 } + 20 v + 100\)
• C) \(81 u ^ { 2 } + v ^ { 2 } + 180 u + 20 v + 100\)
• D) \(81 u ^ { 2 } + v ^ { 2 } + 100\)
• E) \(81 u ^ { 2 } + v ^ { 2 } + 18 u v + 20 v + 100\)

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Definitions:

Long-Run Average Cost

The average cost per unit of output when all inputs, including capital, are variable and optimized.

Marginal Revenue

The increase in revenue resulting from the sale of one additional unit of product.

Demand Schedule

A table that shows the quantity of a good or service demanded at different prices.

Natural Monopolist

A single firm that can supply a good or service to an entire market at a lower cost than could two or more firms, leading to a natural monopoly situation.