Use the Binomial Theorem to Expand and Simplify the Expression $( 2 x + y ) ^ { 3 }$

question 56

Multiple Choice

Use the Binomial Theorem to expand and simplify the expression.​ $( 2 x + y ) ^ { 3 }$ ​

• A) \(8 x ^ { 3 } - 12 x ^ { 2 } y + 6 x y ^ { 2 } + y ^ { 3 }\)
• B) \(8 x ^ { 3 } + 12 x ^ { 2 } y - 6 x y ^ { 2 } + y ^ { 3 }\)
• C) \(x ^ { 3 } + 12 x ^ { 2 } y + 6 x y ^ { 2 } + y ^ { 3 }\)
• D) \(8 x ^ { 3 } + 12 x ^ { 2 } y + 6 x y ^ { 2 } + y ^ { 3 }\)
• E) \(8 x ^ { 3 } + 12 x ^ { 2 } y + 6 x y ^ { 2 } - y ^ { 3 }\)

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Definitions:

Efficient Scale

The level of production at which average total costs are minimized.

Elasticity Of Demand

Elasticity of demand measures how the quantity demanded of a good changes in response to changes in its price.

Advertising

The activity or profession of producing advertisements for commercial products or services, aiming to influence consumer behavior.

Monopolistic Competition

A market structure characterized by many firms selling products that are similar but not identical, allowing them to have some control over their prices.