Expand the Binomial by Using Pascal's Triangle to Determine the Coefficients

question 165

Multiple Choice

Expand the binomial by using Pascal's Triangle to determine the coefficients. $( 2 t - s ) ^ { 5 }$

• A) \(32 t ^ { 5 } - 80 t ^ { 4 } s + 80 t ^ { 3 } s ^ { 2 } - 40 t ^ { 2 } s ^ { 3 } + 10 t s ^ { 4 } - s ^ { 5 }\)
• B) \(32 t ^ { 5 } + 80 t ^ { 4 } s + 80 t ^ { 3 } s ^ { 2 } - 40 t ^ { 2 } s ^ { 3 } + 10 t s ^ { 4 } - s ^ { 5 }\)
• C) \(32 t ^ { 5 } - 80 t ^ { 4 } s - 80 t ^ { 3 } s ^ { 2 } - 40 t ^ { 2 } s ^ { 3 } + 10 t s ^ { 4 } - s ^ { 5 }\)
• D) \(32 t ^ { 5 } - 80 t ^ { 4 } s + 80 t ^ { 3 } s ^ { 2 } + 40 t ^ { 2 } s ^ { 3 } + 10 t s ^ { 4 } + s ^ { 5 }\)
• E) \(32 t ^ { 5 } + 80 t ^ { 4 } s - 80 t ^ { 3 } s ^ { 2 } + 40 t ^ { 2 } s ^ { 3 } - 10 t s ^ { 4 } + s ^ { 5 }\)

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Definitions:

GDP

Gross Domestic Product encapsulates the sum value of every good and service generated within a country's borders over a designated period.

Productive Nonmarket Activities

Economic activities that are productive but do not involve market transactions, such as household work.

Depletion

The reduction in the quantity or value of a resource, such as minerals, forests, or fossil fuels, due to extraction or usage over time.

Resource Base

The total available resources that an economy has access to, including natural resources, labor, and capital.