Expand Using the Binomial Theorem $$( x + 8 ) ^ { 5 }$$

question 50

Multiple Choice

Expand using the binomial theorem.
- $$( x + 8 ) ^ { 5 }$$

• A) \(x ^ { 5 } + 40 x ^ { 4 } + 640 x ^ { 3 } + 5120 x ^ { 2 } + 20,480 x + 8\)
• B) \(x ^ { 5 } + 40 x ^ { 4 } + 640 x ^ { 3 } + 5120 x ^ { 2 } + 20,480 x + 32,768\)
• C) \(x ^ { 5 } + 40 x ^ { 4 } + 1280 x ^ { 3 } + 10,240 x ^ { 2 } + 20,480 x + 32,768\)
• D) \(x ^ { 5 } + 40 x ^ { 4 } + 1280 x ^ { 3 } + 10,240 x ^ { 2 } + 20,480 x + 8\)

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Definitions:

Capital-Intensive

A business process or industry that requires large amounts of money to produce goods or services, often due to high costs of machinery and equipment.

Machinery

Physical devices or equipment designed to perform specific tasks in industrial or commercial settings, often part of the fixed assets of a business.

Soft Rationing

The situation that occurs when units in a business are allocated a certain amount of financing for capital budgeting.