Write the Binomial Expansion of the Expression $$( 2 x - 1 ) ^ { 5 }$$

question 244

Multiple Choice

Write the binomial expansion of the expression.
- $$( 2 x - 1 ) ^ { 5 }$$

• A) \(32 x ^ { 5 } - 80 x ^ { 4 } + 80 x ^ { 3 } - 40 x ^ { 2 } + 10 x - 1\)
• B) \(32 x ^ { 5 } - 16 x ^ { 4 } + 8 x ^ { 3 } - 4 x ^ { 2 } + 2 x - 1\)
• C) \(32 x ^ { 5 } + 10 x ^ { 4 } - 40 x ^ { 3 } - 40 x ^ { 2 } + 10 x - 1\)
• D) \(\left( 4 x ^ { 2 } - 4 x + 1 \right) ^ { 5 }\)

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Definitions:

Labor

The physical and mental effort used in the production of goods and services.

Marginal Product

The increase in output that arises from an additional unit of input.

Nonlabor Resources

Resources used in the production process that do not involve human labor, such as capital, land, and raw materials.

Worker

An individual who performs tasks or services for compensation, contributing labor to an economy.